The use of auxetic materials in tissue engineering

Paul Mardling, Andrew Alderson, Nicola Jordan-Mahy and Christine Lyn Le Maitre

Biomater. Sci., 2020, 8, 2074
DOI: 10.1039/C9BM01928F

Towards deployable meta-implants

F. S. L. Bobbert, S. Janbaz and A. A. Zadpoor

J. Mater. Chem. B, 2018, 6, 3449
DOI: 10.1039/C8TB00576A

Meta-biomaterials

Amir A. Zadpoor

Biomater. Sci., 2020, 8, 18
DOI: 10.1039/C9BM01247H

Cellular materials with tunable bistability integrating prominent soft and stiff properties

Jiacheng Wu, Zhiqiang Meng, Pengfei Li, Yi Xia, Yifan Wang, Muamer Kadic and Fan Yang

Mater. Horiz., 2026, 13, 3001
DOI: 10.1039/D5MH01776A

Bioresorbable-bioactive auxetic “personalised” phalanx with a CT-guided AI-driven model towards in vivo prediction of bone regeneration

Samir Das, Masud Rana, Radha K. Prabhu, Subhodeep Jana, Nantu Dogra, Kolimi Prashanth Reddy, Amit Roy Chowdhury, Pallab Datta, Ashutosh Bagade, Punit Fulzele, Quazi Zahiruddin and Santanu Dhara

Biomater. Sci., 2026, 14, 571
DOI: 10.1039/D5BM01337B

Self-defending additively manufactured bone implants bearing silver and copper nanoparticles

I. A. J. van Hengel, M. W. A. M. Tierolf, V. P. M. Valerio, M. Minneboo, A. C. Fluit, L. E. Fratila-Apachitei, I. Apachitei and A. A. Zadpoor

J. Mater. Chem. B, 2020, 8, 1589
DOI: 10.1039/C9TB02434D

Additively manufactured porous metallic biomaterials

Amir A. Zadpoor

J. Mater. Chem. B, 2019, 7, 4088
DOI: 10.1039/C9TB00420C

A review on mechanical metamaterials and additive manufacturing techniques for biomedical applications

Suhas P., Jaimon Dennis Quadros, Yakub Iqbal Mogul, Ma Mohin, Abdul Aabid, Muneer Baig and Omar Shabbir Ahmed

Mater. Adv., 2025, 6, 887
DOI: 10.1039/D4MA00874J

Bioinspired Flexible and Programmable Negative Stiffness Mechanical Metamaterials

Xiaojun Tan, Yifeng Li, Lianchao Wang, Kaili Yao, Qingxiang Ji, Bing Wang, Vincent Laude and Muamer Kadic

Advanced Intelligent Systems, 2023, 5
DOI: 10.1002/aisy.202200400

Density‐Graded Cellular Solids: Mechanics, Fabrication, and Applications

Oyindamola Rahman, Kazi Zahir Uddin, Jeeva Muthulingam, George Youssef, Chen Shen and Behrad Koohbor

Adv Eng Mater, 2022, 24
DOI: 10.1002/adem.202100646

Advances in additive manufacturing of auxetic structures for biomedical applications

Derui Jiang, Helmut Thissen, Timothy C. Hughes, Kun Yang, Robert Wilson, Anthony B. Murphy and Vu Nguyen

Materials Today Communications, 2024, 40, 110045
DOI: 10.1016/j.mtcomm.2024.110045

RETRACTED: A parametric study of the thermo-pneumatic microvalve performance for microfluidic platforms: A finite element analysis

Alireza Mohseni, Mohammad Amin Ebrahimzadeh, Amirsaman Bahramian and Esmail Pishbin

Results in Engineering, 2025, 25, 103835
DOI: 10.1016/j.rineng.2024.103835

Single‐Step‐Lithography Micro‐Stepper Based on Frictional Contact and Chiral Metamaterial

Xiaojun Tan, Julio Andrés Iglesias Martínez, Gwenn Ulliac, Bing Wang, Linzhi Wu, Johnny Moughames, Marina Raschetti, Vincent Laude and Muamer Kadic

Small, 2022, 18
DOI: 10.1002/smll.202202128

Development of an additively-manufactured functionally-graded expandable implant via the application of the adaptive response surface method: feasibility study on intramedullary humerus nail

Aleš Hrouda, Petr Obruba, Lukas Capek, Jiri Safka, Veronika Truxova and Stefan Rammelt

Computer Methods in Biomechanics and Biomedical Engineering, 2023, 26, 999
DOI: 10.1080/10255842.2022.2100988

Mechanobiomaterials: Harnessing mechanobiology principles for tissue repair and regeneration

Xiao Lin, Hua Yang, Yi Xia, Kang Wu, Fengcheng Chu, Huan Zhou, Huajian Gao and Lei Yang

Mechanobiology in Medicine, 2024, 2, 100079
DOI: 10.1016/j.mbm.2024.100079

An orthotropic elastoplastic constitutive model for lattice materials

Xin Zhou, Wenyi Gong, Jiaxing Wang, Bolun Han, Fuyu Wang, Zhixin Zhan, Xiaofan He and Zhenyu Yang

Composite Structures, 2026, 385, 120214
DOI: 10.1016/j.compstruct.2026.120214

Reengineering Bone-Implant Interfaces for Improved Mechanotransduction and Clinical Outcomes

F. Melo-Fonseca, G. Miranda, Helena S. Domingues, Inês Mendes Pinto, Michael Gasik and F. S. Silva

Stem Cell Rev and Rep, 2020, 16, 1121
DOI: 10.1007/s12015-020-10022-9

Liquid metal lattice materials with simultaneously high strength and reusable energy absorption

Fanghang Deng, Quang-Kha Nguyen and Pu Zhang

Applied Materials Today, 2022, 29, 101671
DOI: 10.1016/j.apmt.2022.101671

Non-Auxetic Mechanical Metamaterials

Christa P. de Jonge, Helena M. A. Kolken and Amir A. Zadpoor

Materials, 2019, 12, 635
DOI: 10.3390/ma12040635

Shape-locking in architected materials through 3D printed magnetically activated joints

Pier H. de Jong, Y. Salvatori, F. Libonati, Mohammad J. Mirzaali and Amir A. Zadpoor

Materials & Design, 2023, 235, 112427
DOI: 10.1016/j.matdes.2023.112427

Isotropic porous structure design methods based on triply periodic minimal surfaces

Jiawei Feng, Bo Liu, Zhiwei Lin and Jianzhong Fu

Materials & Design, 2021, 210, 110050
DOI: 10.1016/j.matdes.2021.110050

Mechanical metamaterial sensors: from design to applications

Hugo de Souza Oliveira, Niloofar Saeedzadeh Khaanghah, Giulia Elli, Luisa Petti, Giuseppe Cantarella, Edoardo Milana and Niko Münzenrieder

J. Phys. D: Appl. Phys., 2025, 58, 133002
DOI: 10.1088/1361-6463/adade5

Metamaterials and Their Application in Biomedical Engineering

Barbara Schürger, Peter Frankovský, Ingrid Delyová, Jozef Živčák and Sára Janigová

Acta Mechanica Slov., 2024, 28, 44
DOI: 10.21496/ams.2024.016

Machine learning-assisted finite element modeling of additively manufactured meta-materials

Alexander Meynen, HMA Kolken, Michiel Mulier, Amir A. Zadpoor and Lennart Scheys

3D Print Med, 2025, 11
DOI: 10.1186/s41205-025-00286-7

Fatigue properties of Ti-6Al-4V TPMS scaffolds fabricated via laser powder bed fusion

Maryam Tilton, Alireza Borjali, Jacklyn C. Griffis, Kartik Mangudi Varadarajan and Guha P. Manogharan

Manufacturing Letters, 2023, 37, 32
DOI: 10.1016/j.mfglet.2023.06.005

Characterization of Ultralow‐Density Cellular Solids: Lessons from 30 years of Bone Biomechanics Research

Sara Sacher, Christopher J Hernandez and Eve Donnelly

Adv Eng Mater, 2021, 23
DOI: 10.1002/adem.202100206

Geometrical Structure Enhanced Strength Combined with Modulate D Modulus in Auxetic Meta-Biomaterials Fabricated by Selective Laser Melting

Dongxu Chen, Kejia Pan, Shuai Gao, Bao Wang, Minghan Sun, Chao Zhao, Xiaotao Liu, Dongdong Li and Ning Li

SSRN Journal, 2022
DOI: 10.2139/ssrn.4157055

Random 3D-printed isotropic composites with high volume fraction of pore-like polydisperse inclusions and near-optimal elastic stiffness

M.G. Tarantino, O. Zerhouni and K. Danas

Acta Materialia, 2019, 175, 331
DOI: 10.1016/j.actamat.2019.06.020

3D printed CoCrMo personalised load-bearing meta-scaffold for critical size tibial reconstruction

Chameekara T. Wanniarachchi, Arun Arjunan, Ahmad Baroutaji, Manpreet Singh, John Robinson, Aaron Vance, Martin Appiah and Abul Arafat

Annals of 3D Printed Medicine, 2024, 15, 100163
DOI: 10.1016/j.stlm.2024.100163

An energy-based effective constitutive model for a family of planar chiral lattice structures

Anirvan DasGupta

International Journal of Solids and Structures, 2024, 300, 112919
DOI: 10.1016/j.ijsolstr.2024.112919

Auxetic Structures for Tissue Engineering Scaffolds and Biomedical Devices

Yujin Kim, Kuk Hui Son and Jin Woo Lee

Materials, 2021, 14, 6821
DOI: 10.3390/ma14226821

New type of rotation of chiral mechanical metamaterials

K K Dudek

Smart Mater. Struct., 2020, 29, 115027
DOI: 10.1088/1361-665X/abaec6

Prediction of Postbuckling Characteristics of Perforated Metamaterial Cylindrical Shells Under Axial Compression

Xueqing Cao, Jianyi Guo, Yongqi Li, Qifeng Zhang, Zhenhuan Zhou, Jiabin Sun, Xinsheng Xu and C. W. Lim

Acta Mech. Solida Sin., 2023, 36, 428
DOI: 10.1007/s10338-023-00378-z

Planar metamaterial with sign-switching Poisson's ratio based on self-contact slits

Ying Gao, Qingxu Liu, Yuntong Du, Xingyu Wei, Hong Hu, Zhengong Zhou and Jian Xiong

Mechanics of Materials, 2024, 198, 105138
DOI: 10.1016/j.mechmat.2024.105138

Negative Compressibility in Hexagonal and Trigonal Models Constructed by Hinging Wine‐Rack Mechanism

Meng Ma, Xiaoqin Zhou, Qiang Liu, Rongqi Wang and Ziyu Song

Physica Status Solidi (b), 2021, 258
DOI: 10.1002/pssb.202000568

Capability of auxetic femoral stems to reduce stress shielding after total hip arthroplasty

Bolun Liu, Huizhi Wang, Min Zhang, Junwei Li, Ningze Zhang, Yichao Luan, Chaohua Fang and Cheng-Kung Cheng

Journal of Orthopaedic Translation, 2023, 38, 220
DOI: 10.1016/j.jot.2022.11.001

On the application of additive manufacturing methods for auxetic structures: a review

Athul Joseph, Vinyas Mahesh and Dineshkumar Harursampath

Adv. Manuf., 2021, 9, 342
DOI: 10.1007/s40436-021-00357-y

Design Approach for Tuning the Hybrid Region of 3D-Printed Heterogeneous Structures: Modulating Mechanics and Energy Absorption Capacity

Zhitong Li, Runchao Zhao, Xiongbiao Chen, Yinghou Jiao and Zhaobo Chen

ACS Appl. Mater. Interfaces, 2023, 15, 7686
DOI: 10.1021/acsami.2c17753

The Design Process of Additively Manufactured Mesoscale Lattice Structures: A Review

Francesco Tamburrino, Serena Graziosi and Monica Bordegoni

Journal of Computing and Information Science in Engineering, 2018, 18
DOI: 10.1115/1.4040131

Manufacturing size effect on the structural and mechanical properties of additively manufactured Ti-6Al-4V microbeams

Kaiyang Yin, Bo Cao, Juraj Todt, Florian Gutmann, Hasan Furkan Tunçay, Antonina Roth, Frank Fischer, Nadira Grübel, Aron Pfaff, Georg C. Ganzenmüller, Jozef Keckes, Stefan Hiermaier and Christoph Eberl

Journal of Materials Science & Technology, 2023, 149, 18
DOI: 10.1016/j.jmst.2022.12.006

Tunable auxeticity and elastomechanical symmetry in a class of very low density core-shell cubic crystals

Celal Soyarslan, Vincent Blümer and Swantje Bargmann

Acta Materialia, 2019, 177, 280
DOI: 10.1016/j.actamat.2019.07.015

Reconfigurable magneto-mechanical metamaterials guided by magnetic fields

Russell Galea, Krzysztof K. Dudek, Pierre-Sandre Farrugia, Louis Zammit Mangion, Joseph N. Grima and Ruben Gatt

Composite Structures, 2022, 280, 114921
DOI: 10.1016/j.compstruct.2021.114921

Influence of 3-D periodic stitching patterns on the strain distributions in polymer matrix composites

Radwa Alaziz, Shuvam Saha, Rani W. Sullivan and Zhenhua Tian

Composite Structures, 2021, 278, 114690
DOI: 10.1016/j.compstruct.2021.114690

Femoral Stems With Porous Lattice Structures: A Review

Bolun Liu, Huizhi Wang, Ningze Zhang, Min Zhang and Cheng-Kung Cheng

Front. Bioeng. Biotechnol., 2021, 9
DOI: 10.3389/fbioe.2021.772539

From microstructural design to surface engineering: A tailored approach for improving fatigue life of additively manufactured meta-biomaterials

S.M. Ahmadi, R. Kumar, E.V. Borisov, R. Petrov, S. Leeflang, Y. Li, N. Tümer, R. Huizenga, C. Ayas, A.A. Zadpoor and V.A. Popovich

Acta Biomaterialia, 2019, 83, 153
DOI: 10.1016/j.actbio.2018.10.043

Additive Manufacturing of Heterogeneous Lattice Structures: An Experimental Exploration

Francesco Leonardi, Serena Graziosi, Riccardo Casati, Francesco Tamburrino and Monica Bordegoni

Proc. Int. Conf. Eng. Des., 2019, 1, 669
DOI: 10.1017/dsi.2019.71

A deep learning approach for inverse design of gradient mechanical metamaterials

Qingliang Zeng, Zeang Zhao, Hongshuai Lei and Panding Wang

International Journal of Mechanical Sciences, 2023, 240, 107920
DOI: 10.1016/j.ijmecsci.2022.107920

Optimization and experimental validation of 3D near-isotropic auxetic structures

Benedict A. Rogers, Max D.A. Valentine, Alexander J.G. Lunt, Elise C. Pegg and Vimal Dhokia

Materials & Design, 2023, 229, 111844
DOI: 10.1016/j.matdes.2023.111844

Low elastic modulus and highly porous triply periodic minimal surfaces architectured implant for orthopedic applications

Rati Verma, Jitendra Kumar, Nishant Kumar Singh, Sanjay Kumar Rai, Shekhar Kumta, Shankar Sehgal and Kuldeep Saxena

Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering, 2025, 239, 1553
DOI: 10.1177/09544089221111258

Additively manufactured meta-biomaterials: A state-of-the-art review

Swapnil Vyavahare, Vinyas Mahesh, Vishwas Mahesh and Dineshkumar Harursampath

Composite Structures, 2023, 305, 116491
DOI: 10.1016/j.compstruct.2022.116491

Programmable shape-morphing of rose-shaped mechanical metamaterials

Z. Zhang and A. O. Krushynska

APL Materials, 2022, 10
DOI: 10.1063/5.0099323

Controllable Hierarchical Mechanical Metamaterials Guided by the Hinge Design

Krzysztof K. Dudek, Ruben Gatt, Miroslaw R. Dudek and Joseph N. Grima

Materials, 2021, 14, 758
DOI: 10.3390/ma14040758

Energy absorption and vibration mitigation performances of novel 2D auxetic metamaterials

M. H. Sebaq and Zishun Liu

Int. J. Comp. Mat. Sci. Eng., 2024, 13
DOI: 10.1142/S2047684123500227

Real-world applications of auxetic structures in engineering: A review

Mustafa Sengul, H.Abdullah Tasdemir and Aykut Tamer

Structures, 2025, 80, 109673
DOI: 10.1016/j.istruc.2025.109673

Synergizing Algorithmic Design, Photoclick Chemistry and Multi‐Material Volumetric Printing for Accelerating Complex Shape Engineering

Parth Chansoria, Dominic Rütsche, Anny Wang, Hao Liu, Davide D'Angella, Riccardo Rizzo, Amelia Hasenauer, Patrick Weber, Wanwan Qiu, Nafeesah Bte Mohamed Ibrahim, Nina Korshunova, Xiao‐Hua Qin and Marcy Zenobi‐Wong

Advanced Science, 2023, 10
DOI: 10.1002/advs.202300912

Sequential metamaterials with alternating Poisson’s ratios

Amin Farzaneh, Nikhil Pawar, Carlos M. Portela and Jonathan B. Hopkins

Nat Commun, 2022, 13
DOI: 10.1038/s41467-022-28696-9

Multi-material 3D printed mechanical metamaterials: Rational design of elastic properties through spatial distribution of hard and soft phases

M. J. Mirzaali, A. Caracciolo, H. Pahlavani, S. Janbaz, L. Vergani and A. A. Zadpoor

Applied Physics Letters, 2018, 113
DOI: 10.1063/1.5064864

Programmable cell unit arrangement of 3D printing mechanical metamaterial undergoing tailorable local instability

Zhenghong Li and Haibao Lu

Eng. Res. Express, 2024, 6, 015520
DOI: 10.1088/2631-8695/ad2e51

Nature-Inspired Plate-Based Metamaterials With Negative Poisson's Ratio and Ultrahigh Stiffness

Xiang Li, Juzheng Chen, Xiaobin Feng, Rong Fan, Si Lan and Yang Lu

Journal of Applied Mechanics, 2025, 92
DOI: 10.1115/1.4068075

An STL-free method for concurrent optimization and fabrication of morphing strut-based lattice structures

Chao Feng, Liang Gao and Hao Li

Computer-Aided Design, 2026, 192, 104012
DOI: 10.1016/j.cad.2025.104012

Merging strut-based and minimal surface meta-biomaterials: Decoupling surface area from mechanical properties

H.M.A. Kolken, S.J.P. Callens, M.A. Leeflang, M.J. Mirzaali and A.A. Zadpoor

Additive Manufacturing, 2022, 52, 102684
DOI: 10.1016/j.addma.2022.102684

Enabling three-dimensional architected materials across length scales and timescales

James Utama Surjadi and Carlos M. Portela

Nat. Mater., 2025, 24, 493
DOI: 10.1038/s41563-025-02119-8

Investigation of a Novel Chiral S‐Shaped Auxetic Structure under Large Tensile Deformation

Kusum Meena and Sarat Singamneni

Physica Status Solidi (b), 2020, 257
DOI: 10.1002/pssb.202000239

Strengthening mechanisms of bioinspired interpenetrating phase composites with negative Poisson's ratio

Junjie Chen, Zhichao Luo, Qian Tang, Fei Liu, Xiaobo Zhang, Yuanhang Zhang and Yutong Chen

Thin-Walled Structures, 2025, 216, 113520
DOI: 10.1016/j.tws.2025.113520

Variable Dual Auxeticity of the Hierarchical Mechanical Metamaterial Composed of Re‐Entrant Structural Motifs

Krzysztof K. Dudek, Julio A. Iglesias Martínez and Muamer Kadic

Physica Status Solidi (b), 2022, 259
DOI: 10.1002/pssb.202200404

3D printing customised stiffness-matched meta-biomaterial with near-zero auxeticity for load-bearing tissue repair

Chameekara T. Wanniarachchi, Arun Arjunan, Ahmad Baroutaji and Manpreet Singh

Bioprinting, 2023, 33, e00292
DOI: 10.1016/j.bprint.2023.e00292

Eriyik yığma modelleme (EYM) ile üretilen çeşitli hücresel yapıların mekanik performanslarının incelenmesi

Berkay ERGENE and Bekir YALÇIN

Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi, 2022, 38, 201
DOI: 10.17341/gazimmfd.945650

Additive manufactured osseointegrated screws with hierarchical design

Wenbo Yang, Hao Chen, Haotian Bai, Yifu Sun, Aobo Zhang, Yang Liu, Yuchao Song, Qing Han and Jincheng Wang

Bio-des. Manuf., 2024, 7, 206
DOI: 10.1007/s42242-024-00269-3

Mechanical response of negative stiffness truncated-conical shell systems: experiment, numerical simulation and empirical model

Xiaojun Tan, Shaowei Zhu, Bing Wang, Kaili Yao, Shuai Chen, Peifei Xu, Lianchao Wang and Yuguo Sun

Composites Part B: Engineering, 2020, 188, 107898
DOI: 10.1016/j.compositesb.2020.107898

A multifaceted biomimetic interface to improve the longevity of orthopedic implants

Michiel Croes, Behnam Akhavan, Omid Sharifahmadian, Haiyang Fan, Raya Mertens, Richard P. Tan, Aliza Chunara, Arifah A. Fadzil, Steven G. Wise, Moyo C. Kruyt, Sebastiaan Wijdicks, Wim E. Hennink, Marcela M.M. Bilek and Saber Amin Yavari

Acta Biomaterialia, 2020, 110, 266
DOI: 10.1016/j.actbio.2020.04.020

Tensile behavior analysis and intelligent geometric optimization of concentric re-entrant auxetic metamaterials (CREAMs)

Peng Dong, Zhi Gong, Yuanlong Li, Jiayi Hu, Jinrui Cao and Runsheng Hou

Materials Today Communications, 2025, 44, 112203
DOI: 10.1016/j.mtcomm.2025.112203

A mathematically defined 3D auxetic metamaterial with tunable mechanical and conduction properties

Xiaoyang Zheng, Xiaofeng Guo and Ikumu Watanabe

Materials & Design, 2021, 198, 109313
DOI: 10.1016/j.matdes.2020.109313

Data-driven inverse design of auxetic metamaterials: Customizing concentric double-arrow honeycomb (CDAH) structures

Yuanlong Li, Zhi Gong, Jiayi Hu, Peng Dong, Jinrui Cao, Gui Li and Runsheng Hou

Mechanics of Advanced Materials and Structures, 2025, 1
DOI: 10.1080/15376494.2025.2481231

Patient‐Specific Self‐Powered Metamaterial Implants for Detecting Bone Healing Progress

Kaveh Barri, Qianyun Zhang, Isaac Swink, Yashar Aucie, Kyle Holmberg, Ryan Sauber, Daniel T. Altman, Boyle C. Cheng, Zhong Lin Wang and Amir H. Alavi

Adv Funct Materials, 2022, 32
DOI: 10.1002/adfm.202203533

3D-printed CF-PLA bone plates with metamaterial structures: Design, fabrication, and mechanical evaluation

Ani Daniel, Hamed Bakhtiari, Alireza Nouri, Barun K. Das, Muhammad Aamir and Majid Tolouei-Rad

Journal of the Mechanical Behavior of Biomedical Materials, 2026, 177, 107377
DOI: 10.1016/j.jmbbm.2026.107377

Towards new strut-based auxetic meta-biomaterials for trabecular bone scaffolds

A. Sorrentino, G. Bianchi, E. Radi and D. Castagnetti

International Journal of Engineering Science, 2025, 215, 104316
DOI: 10.1016/j.ijengsci.2025.104316

Spatially-graded 3D-printed viscoelastic truss metamaterials for impact trajectory control and energy absorption

Kaoutar Radi, Raphaël N. Glaesener, Siddhant Kumar and Dennis M. Kochmann

Theoretical and Applied Mechanics Letters, 2024, 14, 100553
DOI: 10.1016/j.taml.2024.100553

Effect of topology on strength and energy absorption of PA12 non-auxetic strut-based lattice structures

Sina Ghaemi Khiavi, Bagher Mohammad Sadeghi and Mehdi Divandari

Journal of Materials Research and Technology, 2022, 21, 1595
DOI: 10.1016/j.jmrt.2022.09.116

Laser pyrolysis for controlled morphing and chemical modification on 3D microlattices

Zacharias Vangelatos, Letian Wang and Costas P Grigoropoulos

J. Micromech. Microeng., 2020, 30, 055008
DOI: 10.1088/1361-6439/ab7c7e

Geometrically tunable architected materials designed from prismatic rotating units

Andrea Sorrentino and Davide Castagnetti

Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications, 2024, 238, 1690
DOI: 10.1177/14644207241229995

Auxeticity as a Mechanobiological Tool to Create Meta-Biomaterials

Ebrahim Yarali, Amir A. Zadpoor, Urs Staufer, Angelo Accardo and Mohammad J. Mirzaali

ACS Appl. Bio Mater., 2023, 6, 2562
DOI: 10.1021/acsabm.3c00145

When Scale Matters: Size‐Dependent Mechanics of Architected Lattices for Implants and Beyond

H. C. V. M. Shyam Veluvali, Sidharth Beniwal, Grigor Nika, Joep Kraeima, Patrick R. Onck and Anastasiia Oleksandrivna Krushynska

Small Structures, 2026, 7
DOI: 10.1002/sstr.202500434

Novel microstructural features of selective laser melted lattice struts fabricated with single point exposure scanning

E. Onal, A.E. Medvedev, M.A. Leeflang, A. Molotnikov and A.A. Zadpoor

Additive Manufacturing, 2019, 29, 100785
DOI: 10.1016/j.addma.2019.100785

Development, 3D printing, and mechanics of novel auxetic unit cell monostructures

Celia Rufo-Martín, Diego Infante-García, José Díaz-Álvarez, María Henar Miguélez, Behrad Koohbor and George Youssef

Thin-Walled Structures, 2025, 208, 112859
DOI: 10.1016/j.tws.2024.112859

Unveiling additively manufactured cellular structures in hip implants: a comprehensive review

Juliana Marques Dias, Filipe Samuel Correia Pereira da Silva, Michael Gasik, Maria Georgina Macedo Miranda and Flávio Jorge Fernandes Bartolomeu

Int J Adv Manuf Technol, 2024, 130, 4073
DOI: 10.1007/s00170-023-12769-0

Design and compression-induced bandgap evolution of novel polygonal negative stiffness metamaterials

Tengjiao Jiang, Qiang Han and Chunlei Li

International Journal of Mechanical Sciences, 2024, 261, 108658
DOI: 10.1016/j.ijmecsci.2023.108658

Novel lozenge-chiral auxetic metamaterials (LCAMs): Design and numerical studies

Runsheng Hou, Peng Dong and Yuqing Liu

Materials Letters, 2023, 331, 133440
DOI: 10.1016/j.matlet.2022.133440

Reusability and energy absorption behavior of 4D-printed heterogeneous lattice structures based on biomass shape memory polyester

Lin Sang, Wenyang Wu, Zhiqiang Sun, Fei Wang, Jun Xu, Juan Tian, Yiping Zhao and Hao Zhang

Journal of Materials Research and Technology, 2023, 27, 1563
DOI: 10.1016/j.jmrt.2023.09.323

Bone cell response to additively manufactured 3D micro-architectures with controlled Poisson's ratio: Auxetic vs. non-auxetic meta-biomaterials

Ebrahim Yarali, Maria Klimopoulou, Kristen David, Pouyan E. Boukany, Urs Staufer, Lidy E. Fratila-Apachitei, Amir A. Zadpoor, Angelo Accardo and Mohammad J. Mirzaali

Acta Biomaterialia, 2024, 177, 228
DOI: 10.1016/j.actbio.2024.01.045

Compound nested lattices with programmable isotropy and elastic stiffness up to the theoretical limit

Feng Jiang, Ian P. Seetoh, Hyunwoo Lee, Guo Yao Lim, Dominic Kang Jueh Lim, Jonathan Singham, Chang Qi and Chang Quan Lai

Composites Part B: Engineering, 2024, 284, 111656
DOI: 10.1016/j.compositesb.2024.111656

Effect of Porosity and Gradient Parameters on Compressive Mechanical Properties of Sheet Gyroid Gradient Porous Structures and Construction of Mechanical Properties Prediction Model

Xiu Ye, Xiaojin Miao, Xiaojie Shi, Peipei Lu and Meiping Wu

Adv Eng Mater, 2024, 26
DOI: 10.1002/adem.202401426

Analytical relationships for yield stress of five mechanical meta-biomaterials

N. Ghavidelnia, S. Jedari Salami and R. Hedayati

Mechanics Based Design of Structures and Machines, 2022, 50, 3452
DOI: 10.1080/15397734.2020.1807363

Additively manufactured space-filling meta-implants

H.M.A. Kolken, C.P. de Jonge, T. van der Sloten, A. Fontecha Garcia, B. Pouran, K. Willemsen, H. Weinans and A.A. Zadpoor

Acta Biomaterialia, 2021, 125, 345
DOI: 10.1016/j.actbio.2021.02.020

Study of rhombic star-shaped honeycomb with tunable Poisson’s ratio and elastic modulus properties

Xiaotian Zhang, Chengyang Lu, Ruizhi Li and Tiandong Xie

Appl. Phys. A, 2024, 130
DOI: 10.1007/s00339-023-07256-y

Additive manufacturing of multi-morphology graded titanium scaffolds for bone implant applications

Aihua Yu, Ce Zhang, Wei Xu, Yun Zhang, Shiwei Tian, Bowen Liu, Jiazhen Zhang, Anrui He, Bo Su and Xin Lu

Journal of Materials Science & Technology, 2023, 139, 47
DOI: 10.1016/j.jmst.2022.07.035

Three-dimensional auxetic structure design methods based on bulking-induced deformation and the application in soft crawling robot

Bo Liu, Jiawei Feng, Kang Yu, Jiongqi Li, Qirui Hu, Zhiwei Lin and Jianzhong Fu

Composites Part B: Engineering, 2022, 244, 110146
DOI: 10.1016/j.compositesb.2022.110146

Exploiting self-contact in mechanical metamaterials for new discrete functionalities

David Schwarz, Gerrit Felsch, Falk Tauber, Stefan Schiller and Viacheslav Slesarenko

Materials & Design, 2023, 236, 112468
DOI: 10.1016/j.matdes.2023.112468

Elastically isotropic auxetic and zero-Poisson’s ratio TPMS-based metamaterials

Stephen Daynes

Virtual and Physical Prototyping, 2025, 20
DOI: 10.1080/17452759.2024.2449569

Deformation mechanics of generalized missing rib chiral lattice structures

Anirvan DasGupta

Composite Structures, 2024, 344, 118333
DOI: 10.1016/j.compstruct.2024.118333

Roadmap on metamaterial theory, modelling and design

Bryn Davies, Stefan Szyniszewski, Marcelo A Dias, Leo de Waal, Anastasia Kisil, Valery P Smyshlyaev, Shane Cooper, Ilia V Kamotski, Marie Touboul, Richard V Craster, James R Capers, Simon A R Horsley, Robert W Hewson, Matthew Santer, Ryan Murphy, Dilaksan Thillaithevan, Simon J Berry, Gareth J Conduit, Jacob Earnshaw, Nicholas Syrotiuk, Oliver Duncan, Łukasz Kaczmarczyk, Fabrizio Scarpa, John B Pendry, Marc Martí-Sabaté, Sébastien Guenneau, Daniel Torrent, Elena Cherkaev, Niklas Wellander, Andrea Alù, Katie H Madine, Daniel J Colquitt, Ping Sheng, Luke G Bennetts, Anastasiia O Krushynska, Zhaohang Zhang, Mohammad J Mirzaali and Amir Zadpoor

J. Phys. D: Appl. Phys., 2025, 58, 203002
DOI: 10.1088/1361-6463/adc271

Maximizing mechanical properties and minimizing support material of PolyJet fabricated 3D lattice structures

Wenfeng Liu, Hongwei Song and Chenguang Huang

Additive Manufacturing, 2020, 35, 101257
DOI: 10.1016/j.addma.2020.101257

Design, fabrication and mechanical properties of a 3D re-entrant metastructure

Yan Yao, Jeong Hun Park, Lizhen Wang, Xuezhen Geng, Jinglong Liu, Peng Xu, Huiwen Huang, Scott Hollister and Yubo Fan

Composite Structures, 2023, 314, 116963
DOI: 10.1016/j.compstruct.2023.116963

Odd mechanical metamaterials with simultaneously expanding or contracting under both compression and tension

Xiaojun Tan, Bo Cao, Wencheng Liu, Chunming Ji, Bing Wang and Shuai Li

Thin-Walled Structures, 2024, 203, 112225
DOI: 10.1016/j.tws.2024.112225

Additively manufactured biodegradable porous iron

Y. Li, H. Jahr, K. Lietaert, P. Pavanram, A. Yilmaz, L.I. Fockaert, M.A. Leeflang, B. Pouran, Y. Gonzalez-Garcia, H. Weinans, J.M.C. Mol, J. Zhou and A.A. Zadpoor

Acta Biomaterialia, 2018, 77, 380
DOI: 10.1016/j.actbio.2018.07.011

Tuning the Functionality and Topology of a Femur Implant by Metamaterials

Z. Zamani, A. R. Mehrabian, M. R. Karim and Andrea Tridello

Material Design & Processing Communications, 2025, 2025
DOI: 10.1155/mdp2/1863444

Energy absorption of 3D assembled auxetic meta-structure with compression-twisting effect

Tinghui Wei, Fucong Lu, Chuanbiao Zhang, Yunjun Huang, Xue Rui and Yilin Zhu

Structures, 2025, 73, 108482
DOI: 10.1016/j.istruc.2025.108482

Additively manufactured metallic biomaterials

Elham Davoodi, Hossein Montazerian, Anooshe Sadat Mirhakimi, Masoud Zhianmanesh, Osezua Ibhadode, Shahriar Imani Shahabad, Reza Esmaeilizadeh, Einollah Sarikhani, Sahar Toorandaz, Shima A. Sarabi, Rohollah Nasiri, Yangzhi Zhu, Javad Kadkhodapour, Bingbing Li, Ali Khademhosseini and Ehsan Toyserkani

Bioactive Materials, 2022, 15, 214
DOI: 10.1016/j.bioactmat.2021.12.027

Strength enhancement and modulus modulation in auxetic meta-biomaterials produced by selective laser melting

Dongxu Chen, Dongdong Li, Kejia Pan, Shuai Gao, Bao Wang, Minghan Sun, Chao Zhao, Xiaotao Liu and Ning Li

Acta Biomaterialia, 2022, 153, 596
DOI: 10.1016/j.actbio.2022.09.045

FFT-based surrogate modeling of auxetic metamaterials with real-time prediction of effective elastic properties and swift inverse design

Hooman Danesh, Daniele Di Lorenzo, Francisco Chinesta, Stefanie Reese and Tim Brepols

Materials & Design, 2024, 248, 113491
DOI: 10.1016/j.matdes.2024.113491

Pattern Transformation Inspired Multifunctional Cylindrical Vessels with Programmable Stoma‐Shaped Biomimetic Openings

Jiabin Sun, Zhenhuan Zhou, Xueqing Cao, Qifeng Zhang, Qilin Zhang, Ziguang Jia, Wei Sun, Zhenzhen Tong, Xinsheng Xu and C.W. Lim

Adv Materials Technologies, 2023, 8
DOI: 10.1002/admt.202201686

Ultra-low density architectured metamaterial with superior mechanical properties and energy absorption capability

Qingsong Wang, Zihan Li, Yao Zhang, Shaokang Cui, Zhenyu Yang and Zixing Lu

Composites Part B: Engineering, 2020, 202, 108379
DOI: 10.1016/j.compositesb.2020.108379

Additively manufactured function-tailored bone implants made of graphene-containing biodegradable metal matrix composites

Keyu Chen, Jiahui Dong, Niko Eka Putra, Lidy Elena Fratila-Apachitei, Jie Zhou and Amir A. Zadpoor

Progress in Materials Science, 2026, 155, 101517
DOI: 10.1016/j.pmatsci.2025.101517

Superior energy absorption performance of layered aux-hex honeycomb filled tubes

Weizhu Yang, Sichen Dong, Xidian Zhu, Shuoshuo Ren and Lei Li

International Journal of Mechanical Sciences, 2022, 234, 107702
DOI: 10.1016/j.ijmecsci.2022.107702

Auxetic metamaterials for bone-implanted medical devices: Recent advances and new perspectives

Masoud Shirzad, Ali Zolfagharian, Mahdi Bodaghi and Seung Yun Nam

European Journal of Mechanics - A/Solids, 2023, 98, 104905
DOI: 10.1016/j.euromechsol.2022.104905

Controllable three-dimension auxetic structure design strategies based on triply periodic minimal surfaces and the application in hip implant

Bo Liu, Jiawei Feng, Zhiwei Lin, Yong He and Jianzhong Fu

Virtual and Physical Prototyping, 2023, 18
DOI: 10.1080/17452759.2023.2170890

Crashworthiness of laser powder bed fusion processed In718 auxetic metamaterials

Orhan Gülcan

J Braz. Soc. Mech. Sci. Eng., 2024, 46
DOI: 10.1007/s40430-024-04927-6

Compression deformation and fracture behavior of additively manufactured Ti–6Al–4V cellular structures

Yuri N. Loginov, Andrey Koptyug, Vladimir V. Popov, Sergey V. Belikov, Galymzhan Mukanov, Anton I. Golodnov and Stepan I. Stepanov

International Journal of Lightweight Materials and Manufacture, 2022, 5, 126
DOI: 10.1016/j.ijlmm.2021.11.003

A review on the mechanical metamaterials and their applications in the field of biomedical engineering

Hao Wang, Yongtao Lyu, Sergei Bosiakov, Hanxing Zhu and Yuanfei Ren

Front. Mater., 2023, 10
DOI: 10.3389/fmats.2023.1273961

Elastostatics of star-polygon tile-based architectured planar lattices

Celal Soyarslan, Andrew Gleadall, Jiongyi Yan, Hakan Argeso and Emrah Sozumert

Materials & Design, 2023, 226, 111580
DOI: 10.1016/j.matdes.2022.111580

Spatio‐Selective Reconfiguration of Mechanical Metamaterials Through the Use of Dynamic Covalent Chemistries

Tansu Abbasoglu, Oliver Skarsetz, Paula Fanlo, Bruno Grignard, Christophe Detrembleur, Andreas Walther and Haritz Sardon

Advanced Science, 2024, 11
DOI: 10.1002/advs.202407746

Biomechanical influence of structural variation strategies on functionally graded scaffolds constructed with triply periodic minimal surface

Xiang-Yu Zhang, Xing-Chen Yan, Gang Fang and Min Liu

Additive Manufacturing, 2020, 32, 101015
DOI: 10.1016/j.addma.2019.101015

Superior Strength, Toughness, and Damage‐Tolerance Observed in Microlattices of Aperiodic Unit Cells

Xinxin Wang, Xinwei Li, Zhendong Li, Zhonggang Wang and Wei Zhai

Small, 2024, 20
DOI: 10.1002/smll.202307369

Correlation between as‐designed and as‐built Young's modulus of cubic regular, cubic irregular, and trabecular cellular materials

Sunil Raghavendra, Alberto Molinari, Gianluca Zappini and Matteo Benedetti

Mat Design & Process Comms, 2021, 3
DOI: 10.1002/mdp2.257

Preparation and Application of Nature-inspired High-performance Mechanical Materials

Jiandong Cui, Yan Xia, Yingqing Yu, Hong Xu, Nan Zhang, Zhiwei Tuo, Zirui Liu, Zhaohua Lin, Suqian Ma, Yunhong Liang and Luquan Ren

Acta Biomaterialia, 2025, 195, 1
DOI: 10.1016/j.actbio.2025.01.007

Self-adaptive 3D lattice for curved sandwich structures

Shuai Kang, Wenfeng Liu, Jiangtao Wang, Hongwei Song, Wu Yuan and Chenguang Huang

Additive Manufacturing, 2022, 54, 102761
DOI: 10.1016/j.addma.2022.102761

Advanced porous hip implants: A comprehensive review

Babak Ziaie, Xavier Velay and Waqas Saleem

Heliyon, 2024, 10, e37818
DOI: 10.1016/j.heliyon.2024.e37818

Irregular and Regular Honeycomb Lattice Structures: Effective Properties and Design Perspectives

Anil Kumar, Atul Jain and Anirvan DasGupta

Journal of Applied Mechanics, 2025, 92
DOI: 10.1115/1.4068033

Relation between materials, process, structure and property of metallic porous bone scaffolds fabricated by laser powder bed fusion (LPBF): a review

Xu Shubo, Yang Xue, Hu Xinzhi, Liu Peng, Zhang Sen, Pan Yuefei and Ren Guocheng

Optics & Laser Technology, 2025, 191, 113377
DOI: 10.1016/j.optlastec.2025.113377

Novel Cardiovascular Stent Based on Hibiscus-Aestivation-Inspired Auxetic Unit Cell

Sadegh Ghofrani, Ali Abouei Mehrizi, Vahid Nasrollahi and Stefan Dimov

International Journal of Mechanical Sciences, 2024, 277, 109428
DOI: 10.1016/j.ijmecsci.2024.109428

A comparison between rotating squares and anti-tetrachiral systems: Influence of ligaments on the multi-axial mechanical response

Luke Mizzi, Andrea Sorrentino, Andrea Spaggiari and Davide Castagnetti

Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2021, 235, 7759
DOI: 10.1177/09544062211043145

Negative Poisson’s ratio lattice for designing vertebral biomaterials

Andrea Sorrentino and Davide Castagnetti

Mechanics of Advanced Materials and Structures, 2022, 29, 6626
DOI: 10.1080/15376494.2021.1983089

Development of Ultrafine–Grained and Nanostructured Bioinert Alloys Based on Titanium, Zirconium and Niobium and Their Microstructure, Mechanical and Biological Properties

Yurii Sharkeev, Anna Eroshenko, Elena Legostaeva, Zhanna Kovalevskaya, Olga Belyavskaya, Margarita Khimich, Matthias Epple, Oleg Prymak, Viktoriya Sokolova, Qifang Zhu, Zeming Sun and Hongju Zhang

Metals, 2022, 12, 1136
DOI: 10.3390/met12071136

Design and mechanical properties of a 3D missing rib structure inspired by crystal twinning

Qi Zhang, He Gong, Peipei Shi, Chenchen Li, Shuyu Liu and Zhengbin Jia

Materials Today Communications, 2025, 43, 111786
DOI: 10.1016/j.mtcomm.2025.111786

Composite-inspired multilattice metamaterial structure: An auxetic lattice design with improved strength and energy absorption

Bikram Jyoti Sahariah, Akshay Namdeo and Prasenjit Khanikar

Materials Today Communications, 2022, 30, 103159
DOI: 10.1016/j.mtcomm.2022.103159

Advanced honeycomb designs for improving mechanical properties: A review

Chang Qi, Feng Jiang and Shu Yang

Composites Part B: Engineering, 2021, 227, 109393
DOI: 10.1016/j.compositesb.2021.109393

In Vivo Prevention of Implant-Associated Infections Caused by Antibiotic-Resistant Bacteria through Biofunctionalization of Additively Manufactured Porous Titanium

Ingmar Aeneas Jan van Hengel, Bruce van Dijk, Khashayar Modaresifar, Johan Frederik Felix Hooning van Duyvenbode, Faisal Ruben Hamzah Aziz Nurmohamed, Marius Alexander Leeflang, Adriaan Camille Fluit, Lidy Elena Fratila-Apachitei, Iulian Apachitei, Harrie Weinans and Amir Abbas Zadpoor

JFB, 2023, 14, 520
DOI: 10.3390/jfb14100520

The Overview of Porous, Bioactive Scaffolds as Instructive Biomaterials for Tissue Regeneration and Their Clinical Translation

Gaëtan Lutzweiler, Albana Ndreu Halili and Nihal Engin Vrana

Pharmaceutics, 2020, 12, 602
DOI: 10.3390/pharmaceutics12070602

Remodeling of Architected Mesenchymal Microtissues Generated on Mechanical Metamaterials

Chenyan Wang, Zacharias Vangelatos, Tackla Winston, Shiyang Sun, Costas P. Grigoropoulos and Zhen Ma

3D Printing and Additive Manufacturing, 2022, 9, 483
DOI: 10.1089/3dp.2021.0091

3D printed auxetic cardiovascular stents: a state-of-the-art review on topological design, manufacturing, mechanical and biological properties

Bikram Jyoti Sahariah, Mayur Jiyalal Prajapati, Rengaswamy Jayaganthan and Biranchi Panda

Rapid Prototyping Journal, 2026, 32, 866
DOI: 10.1108/RPJ-04-2025-0155

A comprehensive study on numerical homogenization of re-entrant honeycomb lattice and analytical model assessment

Rajnandini Das and Gurunathan Saravana Kumar

Int J Mech Mater Des, 2025, 21, 181
DOI: 10.1007/s10999-024-09732-6

Fabrication and development of mechanical metamaterials via additive manufacturing for biomedical applications: a review

Junsheng Chen, Jibing Chen, Hongze Wang, Liang He, Boyang Huang, Sasan Dadbakhsh and Paulo Bartolo

Int. J. Extrem. Manuf., 2025, 7, 012001
DOI: 10.1088/2631-7990/ad88e3

Function-based parametric design of additively manufactured graded cellular structures for mechanical and thermal performance

Quan Yuan, Yongjian Fang, Min-Kyeom Kim, Ziyang Duan, Yali Zhang and Jonghwan Suhr

Int J Mech Mater Des, 2026, 22
DOI: 10.1007/s10999-025-09820-1

Multi-objective design optimization of 3D micro-architected implants

Eric Garner, Jun Wu and Amir A. Zadpoor

Computer Methods in Applied Mechanics and Engineering, 2022, 396, 115102
DOI: 10.1016/j.cma.2022.115102

Additively Manufactured Deformation‐Recoverable and Broadband Sound‐Absorbing Microlattice Inspired by the Concept of Traditional Perforated Panels

Xinwei Li, Xiang Yu and Wei Zhai

Advanced Materials, 2021, 33
DOI: 10.1002/adma.202104552

Micro-engineered architected metamaterials for cell and tissue engineering

Chenyan Wang, Zacharias Vangelatos, Costas P. Grigoropoulos and Zhen Ma

Materials Today Advances, 2022, 13, 100206
DOI: 10.1016/j.mtadv.2022.100206

Mechanical Metamaterials for Bioengineering: In Vitro, Wearable, and Implantable Applications

Madihah Kazim, Aniket Pal and Debkalpa Goswami

Adv Eng Mater, 2025, 27
DOI: 10.1002/adem.202401806

Three-dimensional printing of functionally graded liquid crystal elastomer

Zijun Wang, Zhijian Wang, Yue Zheng, Qiguang He, Yang Wang and Shengqiang Cai

Sci. Adv., 2020, 6
DOI: 10.1126/sciadv.abc0034

Mechanical metamaterials with programmable compression-twist coupling

Debkalpa Goswami, Yunlan Zhang, Shuai Liu, Omar A Abdalla, Pablo D Zavattieri and Ramses V Martinez

Smart Mater. Struct., 2021, 30, 015005
DOI: 10.1088/1361-665X/abc182

Self-rotating 3D chiral mechanical metamaterials

K. K. Dudek, A. Drzewiński and M. Kadic

Proc. R. Soc. A., 2021, 477
DOI: 10.1098/rspa.2020.0825

Auxetic mechanical metamaterials: from soft to stiff

Xiang Li, Weitao Peng, Wenwang Wu, Jian Xiong and Yang Lu

Int. J. Extrem. Manuf., 2023, 5, 042003
DOI: 10.1088/2631-7990/ace668

Additively manufactured AlSi10Mg inherently stable thin and thick-walled lattice with negative Poisson’s ratio

Arun Arjunan, Manpreet Singh, Ahmad Baroutaji and Chang Wang

Composite Structures, 2020, 247, 112469
DOI: 10.1016/j.compstruct.2020.112469

Anisotropy characteristics of microstructures for bone substitutes and porous implants with application of additive manufacturing in orthopaedic

Jianfeng Kang, Enchun Dong, Dichen Li, Shuangpeng Dong, Chen Zhang and Ling Wang

Materials & Design, 2020, 191, 108608
DOI: 10.1016/j.matdes.2020.108608

Optimizing Lattice Structure for Load Bearing Orthopedic Implants

Manish Dalakoti, Mayank Pandit, Minoru Yamashita and Prasenjit Khanikar

Adv Eng Mater, 2026, 28
DOI: 10.1002/adem.202502293

The structure design and application of metamaterials with negative Poisson's ratio

Xu Han, Jiahong Tian, Zijian Zhang, Guili Gao, Xiao Xu, Kai Sun and Runhua Fan

EPJ Appl. Metamat., 2026, 13, 5
DOI: 10.1051/epjam/2025010

Debulking of the Femoral Stem in a Primary Total Hip Joint Replacement: A Novel Method to Reduce Stress Shielding

Gulshan Sunavala-Dossabhoy, Brent M. Saba and Kevin J. McCarthy

Bioengineering, 2024, 11, 393
DOI: 10.3390/bioengineering11040393

Development of a density-based topology optimization of homogenized lattice structures for individualized hip endoprostheses and validation using micro-FE

Patrik Müller, Alexander Synek, Timo Stauß, Carl Steinnagel, Tobias Ehlers, Paul Christoph Gembarski, Dieter Pahr and Roland Lachmayer

Sci Rep, 2024, 14
DOI: 10.1038/s41598-024-56327-4

Post-fabrication tuning of origami-inspired mechanical metamaterials based on Tachi-Miura Polyhedron

Koshiro Yamaguchi, Yasuhiro Miyazawa, Hiromi Yasuda, Yuyang Song, Shinnosuke Shimokawa, Umesh Gandhi and Jinkyu Yang

Materials & Design, 2023, 233, 112170
DOI: 10.1016/j.matdes.2023.112170

Lightweight metallic cellular materials: A systematic review on mechanical characteristics and engineering applications

Erdong Wang, Ruyang Yao, Qing Li, Xueyou Hu and Guangyong Sun

International Journal of Mechanical Sciences, 2024, 270, 108795
DOI: 10.1016/j.ijmecsci.2023.108795

Frontiers of Additively Manufactured Metallic Materials

Amir A. Zadpoor

Materials, 2018, 11, 1566
DOI: 10.3390/ma11091566

Energy absorption in non-stochastic cellular solids: a systematic review

Mattia Mele, Andrea Paffetti, Massimiliano De Agostinis, Stefano Fini, Giorgio Olmi and Dario Croccolo

Rapid Prototyping Journal, 2025, 31, 1990
DOI: 10.1108/RPJ-11-2024-0464

Computational Homogenisation and Identification of Auxetic Structures with Interval Parameters

Witold Beluch, Marcin Hatłas, Jacek Ptaszny and Anna Kloc-Ptaszna

Materials, 2025, 18, 4554
DOI: 10.3390/ma18194554

Auxetic Metamaterials for Biomedical Devices: Current Situation, Main Challenges, and Research Trends

Vladislav A. Lvov, Fedor S. Senatov, Alnis A. Veveris, Vitalina A. Skrybykina and Andrés Díaz Lantada

Materials, 2022, 15, 1439
DOI: 10.3390/ma15041439

Idealized 3D Auxetic Mechanical Metamaterial: An Analytical, Numerical, and Experimental Study

Naeim Ghavidelnia, Mahdi Bodaghi and Reza Hedayati

Materials, 2021, 14, 993
DOI: 10.3390/ma14040993

Advances in Laser Additive Manufacturing of Ti-Nb Alloys: From Nanostructured Powders to Bulk Objects

Margarita A. Khimich, Konstantin A. Prosolov, Tatiana Mishurova, Sergei Evsevleev, Xavier Monforte, Andreas H. Teuschl, Paul Slezak, Egor A. Ibragimov, Alexander A. Saprykin, Zhanna G. Kovalevskaya, Andrey I. Dmitriev, Giovanni Bruno and Yurii P. Sharkeev

Nanomaterials, 2021, 11, 1159
DOI: 10.3390/nano11051159

Two nature-mimicking auxetic materials with potential for high energy absorption

Seung Chul Han, Dae Seung Kang and Kiju Kang

Materials Today, 2019, 26, 30
DOI: 10.1016/j.mattod.2018.11.004

Dome-Shape Auxetic Cellular Metamaterials: Manufacturing, Modeling, and Testing

Nathanael Easey, Dmytro Chuprynyuk, W. M. Syazwan Wan Musa, Angus Bangs, Yousef Dobah, Anton Shterenlikht and Fabrizio Scarpa

Front. Mater., 2019, 6
DOI: 10.3389/fmats.2019.00086

Laser Sintering Approaches for Bone Tissue Engineering

Jeremy N. DiNoro, Naomi C. Paxton, Jacob Skewes, Zhilian Yue, Philip M. Lewis, Robert G. Thompson, Stephen Beirne, Maria A. Woodruff and Gordon G. Wallace

Polymers, 2022, 14, 2336
DOI: 10.3390/polym14122336

Analytical relationships for 2D Re-entrant auxetic metamaterials: An application to 3D printing flexible implants

Reza Hedayati, Armin Yousefi, Mohammadreza Lalegani Dezaki and Mahdi Bodaghi

Journal of the Mechanical Behavior of Biomedical Materials, 2023, 143, 105938
DOI: 10.1016/j.jmbbm.2023.105938

Materials design for bone-tissue engineering

Gerry L. Koons, Mani Diba and Antonios G. Mikos

Nat Rev Mater, 2020, 5, 584
DOI: 10.1038/s41578-020-0204-2

Current Trends in Metallic Orthopedic Biomaterials: From Additive Manufacturing to Bio-Functionalization, Infection Prevention, and Beyond

Amir A. Zadpoor

IJMS, 2018, 19, 2684
DOI: 10.3390/ijms19092684

Porous clinoptilolite—nano biphasic calcium phosphate scaffolds loaded with human dental pulp stem cells for load bearing orthopedic applications

Ammar Z Alshemary, Ahmet Engin Pazarçeviren, Dilek Keskin, Aysen Tezcaner, Rafaqat Hussain and Zafer Evis

Biomed. Mater., 2019, 14, 055010
DOI: 10.1088/1748-605X/ab3714

Probing the frequency-dependent elastic moduli of lattice materials

T. Mukhopadhyay, S. Adhikari and A. Alu

Acta Materialia, 2019, 165, 654
DOI: 10.1016/j.actamat.2018.11.012

Materials for 3D printing in healthcare sector: A review

Maruf Nizam, Rajesh Purohit and Mohammad Taufik

Proc Inst Mech Eng H, 2024, 238, 939
DOI: 10.1177/09544119241289731

Combined Infection Control and Enhanced Osteogenic Differentiation Capacity on Additive Manufactured Ti‐6Al‐4V are Mediated via Titania Nanotube Delivery of Novel Biofilm Inhibitors

Jun Li, Isha Mutreja, Gary J. Hooper, Keith Clinch, Khoon Lim, Gary Evans and TimB.F. Woodfield

Adv Materials Inter, 2020, 7
DOI: 10.1002/admi.201901963

Optimising β-Ti21S Alloy Lattice Structures for Enhanced Femoral Implants: A Study on Mechanical and Biological Performance

Lorena Emanuelli, Melika Babaei, Raffaele De Biasi, Anton du Plessis, Andrea Trivisonno, Francesca Agostinacchio, Antonella Motta, Matteo Benedetti and Massimo Pellizzari

Materials, 2025, 18, 170
DOI: 10.3390/ma18010170

Structural design and mechanical protection performance of rod- type metamaterials: a review

Simiao Chen, Hang Liu, Huijie Guo, Xiang Xu, Xin Wang and Yong Zhang

Eng. Res. Express, 2025, 7, 042504
DOI: 10.1088/2631-8695/adf93e

Carbon fiber reinforced composite 3D origami-inspired auxetic honeycomb with omni-directional high stiffness

Ying Gao, Zhibin Li, Xingyu Wei, Yuntong Du, Zhengong Zhou and Jian Xiong

International Journal of Solids and Structures, 2024, 297, 112860
DOI: 10.1016/j.ijsolstr.2024.112860

Quasi-static compression and dynamic impact of 3D CFRP star-shaped anti-tetra-missing rib auxetic structures with enhanced stiffness

Keda Li, Mabel Mei Po Ho and Hong Hu

Composites Part A: Applied Science and Manufacturing, 2026, 202, 109521
DOI: 10.1016/j.compositesa.2025.109521

Mechanical and biological characteristics of 3D-printed auxetic structure in bone tissue engineering

Xuezheng Geng, Yan Yao, Huiwen Huang, Qiao Li, Lizhen Wang and Yubo Fan

Journal of Biomechanics, 2025, 184, 112685
DOI: 10.1016/j.jbiomech.2025.112685

Design of novel 3D auxetic structures based on S-shaped unit-cells

Laleh Khadem-Reza, Ehsan Etemadi, Mohammad Abbaslou and Hong Hu

Smart Mater. Struct., 2022, 31, 075024
DOI: 10.1088/1361-665X/ac7681

Auxetic Meta-Biomaterials: Computer Simulation and Experimental Results

Eduard Farber, Alexey Orlov and Anatoly Popovich

Metals, 2025, 15, 241
DOI: 10.3390/met15030241

Mechanical Metamaterials Gyro-Structure Piezoelectric Nanogenerators for Energy Harvesting under Quasi-Static Excitations in Ocean Engineering

Pengcheng Jiao, Yang Yang, KingJames Idala Egbe, Zhiguo He and Yingtien Lin

ACS Omega, 2021, 6, 15348
DOI: 10.1021/acsomega.1c01687

Studying Biomolecular Protein Complexes via Origami and 3D-Printed Models

Hay Azulay, Inbar Benyunes, Gershon Elber and Nir Qvit

IJMS, 2024, 25, 8271
DOI: 10.3390/ijms25158271

Finite element simulation of femoral stems lightweighted with re-entrant honeycomb lattice structure

Özgü BAYRAK

European Mechanical Science, 2023, 7, 128
DOI: 10.26701/ems.1287321

Composites with Re-Entrant Lattice: Effect of Filler on Auxetic Behaviour

Mikhail Tashkinov, Anastasia Tarasova, Ilia Vindokurov and Vadim V. Silberschmidt

Polymers, 2023, 15, 4076
DOI: 10.3390/polym15204076

Compressive response of concave negative Poisson’s ratio cylindrical shell/TPMS core composite structures

Junjie Gong, Zhihao Ma, Yuanyuan Wei, Guoqian Song and Wenfeng Hao

Materials & Design, 2025, 259, 114827
DOI: 10.1016/j.matdes.2025.114827

Bioinspired bending-stretching synergy resolves structural toughness–strength conflicts in auxetic metamaterial lattice

Xiaobo Zhang, Guang Fu, Junjie Chen, Miao Zhao, Tao Luo, Hao Liang, Zhihao Ren, Tao Zhang, Zhonghua Li and Fei Liu

Composite Structures, 2026, 387, 120304
DOI: 10.1016/j.compstruct.2026.120304

The Synergistic Role of Additive Manufacturing and Artificial Intelligence for the Design of New Advanced Intelligent Systems

Mario Milazzo and Flavia Libonati

Advanced Intelligent Systems, 2022, 4
DOI: 10.1002/aisy.202100278

Auxetic lattice structures consisting of an enhanced trigram frame unit cell with superior stiffness

Mohammad Bashtani, Ehsan Etemadi, Hong Hu and Mahmoud Moradi

Composite Structures, 2024, 338, 118100
DOI: 10.1016/j.compstruct.2024.118100

Tuneable mechanical performance and reusability of 4D-printed heterogeneous metamaterials using shape memory biomass-derived polymer

Lin Sang, Wenyang Wu, Yutong Yao, Xufeng Dong, Huanyue Zhang and Hao Zhang

Virtual and Physical Prototyping, 2024, 19
DOI: 10.1080/17452759.2024.2372620

Mechanical performance of auxetic meta-biomaterials

H.M.A. Kolken, K. Lietaert, T. van der Sloten, B. Pouran, A. Meynen, G. Van Loock, H. Weinans, L. Scheys and A.A. Zadpoor

Journal of the Mechanical Behavior of Biomedical Materials, 2020, 104, 103658
DOI: 10.1016/j.jmbbm.2020.103658

TiNi Alloy Lattice Structures with Negative Poisson’s Ratio: Computer Simulation and Experimental Results

Eduard Farber, Alexey Orlov, Evgenii Borisov, Arseniy Repnin, Stepan Kuzin, Nikita Golubkov and Anatoly Popovich

Metals, 2022, 12, 1476
DOI: 10.3390/met12091476

A biomimetic chiral auxetic vertebral meta-shell

A Sorrentino, K Genovese, L Nicolini and D Castagnetti

Smart Mater. Struct., 2024, 33, 105044
DOI: 10.1088/1361-665X/ad7ca5

Review for metamaterial-based energy harvester and absorber

Haojie Ye, Yongxing Jin, Wenkang Huang, Manna Gu, Ying Tian and Xufeng Jing

Eur. Phys. J. Appl. Phys., 2025, 100, 18
DOI: 10.1051/epjap/2025015

Orthopedic meta-implants

Mohammad J. Mirzaali and Amir A. Zadpoor

APL Bioengineering, 2024, 8
DOI: 10.1063/5.0179908

Developing porous hip implants implementing topology optimization based on the bone remodelling model and fatigue failure

Babak Ziaie, Xavier Velay and Waqas Saleem

Journal of the Mechanical Behavior of Biomedical Materials, 2025, 163, 106864
DOI: 10.1016/j.jmbbm.2024.106864

Additive manufacturing of metallic biomaterials: sustainability aspect, opportunity, and challenges

Pralhad Pesode and Shivprakash Barve

Journal of Industrial and Production Engineering, 2023, 40, 464
DOI: 10.1080/21681015.2023.2229341

Mechanical Metamaterials and Their Engineering Applications

James Utama Surjadi, Libo Gao, Huifeng Du, Xiang Li, Xiang Xiong, Nicholas Xuanlai Fang and Yang Lu

Adv Eng Mater, 2019, 21
DOI: 10.1002/adem.201800864

Materials Design Innovations in Optimizing Cellular Behavior on Melt Electrowritten (MEW) Scaffolds

Brenna L. Devlin, Mark C. Allenby, Jiongyu Ren, Edmund Pickering, Travis J. Klein, Naomi C. Paxton and Maria A. Woodruff

Adv Funct Materials, 2024, 34
DOI: 10.1002/adfm.202313092

The Influence of Selective Laser Melting (SLM) Process Parameters on In-Vitro Cell Response

Bartłomiej Wysocki, Joanna Idaszek, Joanna Zdunek, Krzysztof Rożniatowski, Marcin Pisarek, Akiko Yamamoto and Wojciech Święszkowski

IJMS, 2018, 19, 1619
DOI: 10.3390/ijms19061619

Russian doll deployable meta-implants: Fusion of kirigami, origami, and multi-stability

F.S.L. Bobbert, S. Janbaz, T. van Manen, Y. Li and A.A. Zadpoor

Materials & Design, 2020, 191, 108624
DOI: 10.1016/j.matdes.2020.108624

Mandibular Implants: A Metamaterial‐Based Approach to Reducing Stress Shielding

Jorn‐Ids Heins, Bram B.J. Merema, Joep Kraeima, Max J.H. Witjes and Anastasiia O. Krushynska

Adv Healthcare Materials, 2025, 14
DOI: 10.1002/adhm.202500405

Rational design, bio-functionalization and biological performance of hybrid additive manufactured titanium implants for orthopaedic applications: A review

Jun Li, Xiaolin Cui, Gary J. Hooper, Khoon S. Lim and Tim B.F. Woodfield

Journal of the Mechanical Behavior of Biomedical Materials, 2020, 105, 103671
DOI: 10.1016/j.jmbbm.2020.103671

Femur Auxetic Meta-Implants with Tuned Micromotion Distribution

Naeim Ghavidelnia, Mahdi Bodaghi and Reza Hedayati

Materials, 2020, 14, 114
DOI: 10.3390/ma14010114

Auxetic Liquid Crystal Vitrimers with Adjustable Poisson's Ratios Enabled by Topological Rearrangements of Polymer Network

Zhiran Zheng, Weixin Ma, Jiawei Li, Yaning Ma, Jun Hu and Min‐Hui Li

Adv Funct Materials, 2024, 34
DOI: 10.1002/adfm.202410235

Nacre-inspired auxetic interlocking brick-and-mortar composites

Xiang-Long Peng and Swantje Bargmann

Composites Communications, 2024, 48, 101892
DOI: 10.1016/j.coco.2024.101892

Layer by layer coating for bio-functionalization of additively manufactured meta-biomaterials

S. Amin Yavari, M. Croes, B. Akhavan, F. Jahanmard, C.C. Eigenhuis, S. Dadbakhsh, H.C. Vogely, M.M. Bilek, A.C. Fluit, C.H.E. Boel, B.C.H. van der Wal, T. Vermonden, H. Weinans and A.A. Zadpoor

Additive Manufacturing, 2020, 32, 100991
DOI: 10.1016/j.addma.2019.100991

Micro‐Scale Mechanical Metamaterial with a Controllable Transition in the Poisson's Ratio and Band Gap Formation

Krzysztof K. Dudek, Julio A. Iglesias Martínez, Gwenn Ulliac, Laurent Hirsinger, Lianchao Wang, Vincent Laude and Muamer Kadic

Advanced Materials, 2023, 35
DOI: 10.1002/adma.202210993

Additive Manufacturing of Biomaterials—Design Principles and Their Implementation

Mohammad J. Mirzaali, Vahid Moosabeiki, Seyed Mohammad Rajaai, Jie Zhou and Amir A. Zadpoor

Materials, 2022, 15, 5457
DOI: 10.3390/ma15155457

Revolutionary auxetic intravascular medical stents for angioplasty applications

Mohammad Sadegh Ebrahimi, Mohammad Noruzi, Ramin Hamzehei, Ehsan Etemadi and Ramin Hashemi

Materials & Design, 2023, 235, 112393
DOI: 10.1016/j.matdes.2023.112393

A Computational Journey Toward an Optimal Design for Metamaterial Epicardial Passive Sleeves

Vahid Naeini, Emilio A. Mendiola, Ahmad Rafsanjani, Fergal B. Coulter, Qian Xiang, Jianyi Zhang, Peter Vanderslice, Vahid Serpooshan and Reza Avazmohammadi

Adv Healthcare Materials, 2026, 15
DOI: 10.1002/adhm.202501369

TiNi Alloy Lattice Structures with Negative Poisson Ratio: Computer Simulation

Eduard Farber, Alexey V. Orlov and Anatoly A. Popovich

KEM, 2023, 944, 61
DOI: 10.4028/p-ek41j4

Mechano-driven intervertebral bone bridging via oriented mechanical stimulus in a twist metamaterial cage: An in silico study

Mengke Huo, Siyuan He, Yun Zhang, Qing Liu, Mengxing Liu, Guangquan Zhou, Ping Zhou and Jian Lu

Computers in Biology and Medicine, 2024, 171, 108149
DOI: 10.1016/j.compbiomed.2024.108149

Wrinkling instability of 3D auxetic bilayers in tension

Sairam Pamulaparthi Venkata, Yuxin Fu, Yibin Fu, Hooman Danesh, Michel Destrade and Valentina Balbi

Journal of the Mechanics and Physics of Solids, 2025, 204, 106301
DOI: 10.1016/j.jmps.2025.106301

Badania statyczne i dynamicznestruktur metamateriałowych

Tomasz Ciborowski, Błażej Woźny, Paweł Wałdowski and Paweł Błaś

BUILDER, 2024, 329, 20
DOI: 10.5604/01.3001.0054.8371

Coupling negative Poisson’s ratio with multifunctionality: advances in auxetic metamaterials

Chuanbiao Zhang, Fucong Lu, Kelan Mo, Yi He, Yang Liu and Yilin Zhu

International Journal of Solids and Structures, 2026, 328, 113822
DOI: 10.1016/j.ijsolstr.2025.113822

Design and manufacturing of patient-specific Ti6Al4V implants with inhomogeneous porosity

Masud Rana, Santanu Karmakar, Amit Bandyopadhyay and Amit Roychowdhury

Journal of the Mechanical Behavior of Biomedical Materials, 2023, 143, 105925
DOI: 10.1016/j.jmbbm.2023.105925

Mechanical Properties of Highly Deformable Elastomeric Gyroids for Multifunctional Capacitors

Emilie R. Baker, Khoi Ly, Nikola Bosnjak, Maura R. O’Neill, Rachel Miller, Sandra Li, Robert F. Shepherd and Meredith N. Silberstein

Adv Eng Mater, 2023, 25
DOI: 10.1002/adem.202300629

Designing necks and wrinkles in inflated auxetic membranes

Sairam Pamulaparthi Venkata, Valentina Balbi, Michel Destrade and Giuseppe Zurlo

International Journal of Mechanical Sciences, 2024, 268, 109031
DOI: 10.1016/j.ijmecsci.2024.109031

Composite tree-like re-entrant structure with high stiffness and controllable elastic anisotropy

Ying Gao, Qianqian Wu, Xingyu Wei, Zhengong Zhou and Jian Xiong

International Journal of Solids and Structures, 2020, 206, 170
DOI: 10.1016/j.ijsolstr.2020.09.003

Deep-learning-based inverse design of three-dimensional architected cellular materials with the target porosity and stiffness using voxelized Voronoi lattices

Xiaoyang Zheng, Ta-Te Chen, Xiaoyu Jiang, Masanobu Naito and Ikumu Watanabe

Science and Technology of Advanced Materials, 2023, 24
DOI: 10.1080/14686996.2022.2157682

Additively-manufactured PEEK/HA porous scaffolds with highly-controllable mechanical properties and excellent biocompatibility

Jibao Zheng, Huiyu Zhao, Enchun Dong, Jianfeng Kang, Chaozong Liu, Changning Sun, Dichen Li and Ling Wang

Materials Science and Engineering: C, 2021, 128, 112333
DOI: 10.1016/j.msec.2021.112333

Bio-inspired auxetic mechanical metamaterials evolved from rotating squares unit

Andrea Sorrentino, Davide Castagnetti, Luke Mizzi and Andrea Spaggiari

Mechanics of Materials, 2022, 173, 104421
DOI: 10.1016/j.mechmat.2022.104421

Numerical investigation of the mechanical properties of 2D and 3D auxetic structures

Süleyman Nazif Orhan and Şeydanur Erden

Smart Mater. Struct., 2022, 31, 065011
DOI: 10.1088/1361-665X/ac6918

Gyroid-based functionally graded porous titanium scaffolds for dental application: Design, simulation and characterizations

Wei Xu, Aihua Yu, Yu Jiang, Yageng Li, Ce Zhang, Harsh-preet Singh, Bowen Liu, Chenjin Hou, Yun Zhang, Shiwei Tian, Jiazhen Zhang and Xin Lu

Materials & Design, 2022, 224, 111300
DOI: 10.1016/j.matdes.2022.111300

The metastructures actuated by rotational motion with quasi-zero stiffness, negative stiffness, and bistability

Diankun Pan, Shuangfeng Tan, Zhimin Zhang and Wenbing Li

Thin-Walled Structures, 2025, 207, 112700
DOI: 10.1016/j.tws.2024.112700

Manufacturable curved links as a route to reduce the Poisson’s ratio of auxetic lattice metamaterials

Benedict A. Rogers, Vimal Dhokia, Alexander J.G. Lunt and Elise C. Pegg

International Journal of Solids and Structures, 2026, 334, 113968
DOI: 10.1016/j.ijsolstr.2026.113968

Deep Learning for Size‐Agnostic Inverse Design of Random‐Network 3D Printed Mechanical Metamaterials

Helda Pahlavani, Kostas Tsifoutis‐Kazolis, Mauricio C. Saldivar, Prerak Mody, Jie Zhou, Mohammad J. Mirzaali and Amir A. Zadpoor

Advanced Materials, 2024, 36
DOI: 10.1002/adma.202303481

Three-Dimensionally Printed Mechanical Metamaterials With Thermally Tunable Auxetic Behavior

Zeang Zhao, Chao Yuan, Ming Lei, Le Yang, Qiang Zhang, Haosen Chen, H. Jerry Qi and Daining Fang

Phys. Rev. Applied, 2019, 11
DOI: 10.1103/PhysRevApplied.11.044074

Clinical Application of 3D‐Printed Custom Hemipelvic Prostheses With Negative Poisson's Ratio Porous Structures in Reconstruction After Resection of Pelvic Malignant Tumors

Xin Hu, Chuang Li, Xiaodi Tang, Yitian Wang, Yi Luo, Yong Zhou, Chongqi Tu, Xiao Yang and Li Min

Orthopaedic Surgery, 2025, 17, 1691
DOI: 10.1111/os.70040

Experimental investigation on the mechanical properties of Ti6Al4V cellular structures produced with selective laser melting: Effects of rib thickness, unit cell type and orientation

Berkay Ergene and Bekir Yalçın

Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering, 2024
DOI: 10.1177/09544089241296708

Mimicking bone remodeling to optimize hierarchical, multi-material 3D printed metamaterials

M.C. Saldívar, E. Tay, H. Pahlavani, E.L. Doubrovski, M.J. Mirzaali and A.A. Zadpoor

Applied Materials Today, 2025, 44, 102722
DOI: 10.1016/j.apmt.2025.102722

Effect of heat treatment on mechanical properties of CuCrZr triply periodic minimal surface structures fabricated by selective laser melting

Qifei Zhang, Xiu Tang, Bin Liu, Zhonghua Li, Jiawei Bi, Yadong Li, Wenjuan Huo, Min Wei, Huirong Yang and Peikang Bai

Journal of Materials Research and Technology, 2023, 27, 7839
DOI: 10.1016/j.jmrt.2023.11.216

Novel hybrid 3D-printed auxetic vascular stent based on re-entrant and meta-trichiral unit cells: Finite element simulation with experimental verifications

M. Abbaslou, R. Hashemi and E. Etemadi

Materials Today Communications, 2023, 35, 105742
DOI: 10.1016/j.mtcomm.2023.105742

Topology optimisation and lithography-based ceramic manufacturing of short-stem hip prostheses with enhanced biomechanical and mechanobiological performance

William Solórzano-Requejo, Adrián Martínez Cendrero, Altan Alpay Altun, Serkan Nohut, Carlos Ojeda, Javier García Molleja, Jon Molina-Aldareguia, Martin Schwentenwein and Andrés Díaz Lantada

Virtual and Physical Prototyping, 2024, 19
DOI: 10.1080/17452759.2024.2387280

Bending modeling and analysis of hybrid auxetic honeycomb with multidirectional mechanical modifications

Yang Zhou, Yanjie Pang, Yi Pan and Qiang Gao

Arch Appl Mech, 2025, 95
DOI: 10.1007/s00419-025-02929-x

Farklı bağıl yoğunluklardaki Inconel 718 ve Ti6Al4V biyomedikal parçaların seçici lazer ergitme (SLE) metoduyla üretiminin simülasyonu

Berkay ERGENE

Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi, 2021, 37, 469
DOI: 10.17341/gazimmfd.934143

Peng Dong, Runsheng Hou, Jiayi Hu, Chen Lin, Yuqing Liu and Lei Qin

Polymer Testing, 2023, 122, 108015
DOI: 10.1016/j.polymertesting.2023.108015

Fatigue performance of auxetic meta-biomaterials

H.M.A. Kolken, A. Fontecha Garcia, A. Du Plessis, C. Rans, M.J. Mirzaali and A.A. Zadpoor

Acta Biomaterialia, 2021, 126, 511
DOI: 10.1016/j.actbio.2021.03.015

Metallic clay

Sander Leeflang, Shahram Janbaz and Amir A. Zadpoor

Additive Manufacturing, 2019, 28, 528
DOI: 10.1016/j.addma.2019.05.032

Mechanical Properties of 2D Re-Entrant Gradient Structures Produced by Additive Manufacturing

Sahel Mohammadi Ghalehney, Mohammad Hossien Sadeghi and Hussain Gharehbaghi

Iran J Sci Technol Trans Mech Eng, 2024, 48, 1395
DOI: 10.1007/s40997-023-00724-z

Less Is More: Hollow‐Truss Microlattice Metamaterials with Dual Sound Dissipation Mechanisms and Enhanced Broadband Sound Absorption

Xinwei Li, Xiang Yu and Wei Zhai

Small, 2022, 18
DOI: 10.1002/smll.202204145

On the design workflow of auxetic metamaterials for structural applications

Matthew Wallbanks, Muhammad Farhan Khan, Mahdi Bodaghi, Andrew Triantaphyllou and Ahmad Serjouei

Smart Mater. Struct., 2022, 31, 023002
DOI: 10.1088/1361-665X/ac3f78

Novel auxetic metamaterials inspired from geometry patterns of an Iranian Mosque with improved energy absorption capability

Ehsan Etemadi, Mohammad Bashtani and Hong Hu

Materials Today Communications, 2024, 41, 110470
DOI: 10.1016/j.mtcomm.2024.110470

Rotating squares auxetic metamaterials with improved strain tolerance

A Sorrentino, D Castagnetti, L Mizzi and A Spaggiari

Smart Mater. Struct., 2021, 30, 035015
DOI: 10.1088/1361-665X/abde50

Mechanisms of fatigue crack initiation and propagation in auxetic meta-biomaterials

H.M.A. Kolken, A. Fontecha Garcia, A. Du Plessis, A. Meynen, C. Rans, L. Scheys, M.J. Mirzaali and A.A. Zadpoor

Acta Biomaterialia, 2022, 138, 398
DOI: 10.1016/j.actbio.2021.11.002

Toward customized flexural properties of additively manufactured architected lattice beams via grading struts cross-section and targeted designed unit cell distributions

Genaro Rico-Baeza, Enrique Cuan-Urquizo, Gerardo I. Perez-Soto and Karla A. Camarillo-Gomez

RPJ, 2024, 30, 1769
DOI: 10.1108/RPJ-02-2024-0076

Heterogeneity in millimeter-scale Ti-6Al-4V lattice primitives: Challenges in defining effective properties for metamaterial design

Nicolò Maria della Ventura, Connie Q. Dong, Sara A. Messina, Rachel R. Collino, Glenn H. Balbus, Sean P. Donegan, Jonathan D. Miller, Daniel S. Gianola and Matthew R. Begley

Materials & Design, 2024, 238, 112695
DOI: 10.1016/j.matdes.2024.112695

3D-printed auxetic-structured intervertebral disc implant for potential treatment of lumbar herniated disc

Yulin Jiang, Kun Shi, Luonan Zhou, Miaomiao He, Ce Zhu, Jingcheng Wang, Jianhua Li, Yubao Li, Limin Liu, Dan Sun, Ganjun Feng, Yong Yi and Li Zhang

Bioactive Materials, 2023, 20, 528
DOI: 10.1016/j.bioactmat.2022.06.002

Development and Applications of 3D Printing-Processed Auxetic Structures for High-Velocity Impact Protection: A Review

Raí Felipe Pereira Junio, Pedro Henrique Poubel Mendonça da Silveira, Lucas de Mendonça Neuba, Sergio Neves Monteiro and Lucio Fabio Cassiano Nascimento

Eng, 2023, 4, 903
DOI: 10.3390/eng4010054

Auxetic 3D printed metastructure stents for enhanced mechanical and structural performance and biocompatibility in coronary artery treatments

Rezgar Hasanzadeh, Saman Jolaiy, Mehran Mojaver, Taher Azdast and Chul B. Park

Acta Biomaterialia, 2025, 202, 641
DOI: 10.1016/j.actbio.2025.06.043

Stress shielding mitigation by metamaterial implants: Photoelasticity test of clinically relevant designs

J. I. Heins, B. J. Merema, J. Kraeima, M. J. H. Witjes and A. O. Krushynska

Biophysics Reviews, 2025, 6
DOI: 10.1063/5.0274855

Additively Manufactured Gradient Porous Ti–6Al–4V Hip Replacement Implants Embedded with Cell-Laden Gelatin Methacryloyl Hydrogels

Elham Davoodi, Hossein Montazerian, Reza Esmaeilizadeh, Ali Ch. Darabi, Armin Rashidi, Javad Kadkhodapour, Hamid Jahed, Mina Hoorfar, Abbas S. Milani, Paul S. Weiss, Ali Khademhosseini and Ehsan Toyserkani

ACS Appl. Mater. Interfaces, 2021, 13, 22110
DOI: 10.1021/acsami.0c20751

Design, Preparation, and Mechanical Property Investigation of Ti–Ta 3D‐Auxetic Structure by Laser Powder Bed Fusion

Mu Gao, Dingyong He, Xu Wu, Zhen Tan and Xingye Guo

Adv Eng Mater, 2023, 25
DOI: 10.1002/adem.202300242

А review of the structure–property relationships and key applications of auxetic metamaterials

Ivan Yu. Ermienko, Maria A. Surmeneva and Roman A. Surmenev

Thin-Walled Structures, 2026, 223, 114577
DOI: 10.1016/j.tws.2026.114577

Controllable inverse design of auxetic metamaterials using deep learning

Xiaoyang Zheng, Ta-Te Chen, Xiaofeng Guo, Sadaki Samitsu and Ikumu Watanabe

Materials & Design, 2021, 211, 110178
DOI: 10.1016/j.matdes.2021.110178

Nonlinear Dynamics and Chaos in Conformational Changes of Mechanical Metamaterials

Jason Z. Kim, Zhixin Lu, Ann S. Blevins and Dani S. Bassett

Phys. Rev. X, 2022, 12
DOI: 10.1103/PhysRevX.12.011042

Plate-based cylinder metamaterial with negative Poisson’s ratio and outstanding mechanical performance

Xiang Li, Ran Xiao, JuZheng Chen, JingQi Li, Rong Fan, Jian Song and Yang Lu

Sci. China Technol. Sci., 2023, 66, 793
DOI: 10.1007/s11431-022-2212-5

Auxetic Biomedical Metamaterials for Orthopedic Surgery Applications: A Comprehensive Review

Minghao Sun, Xin Hu, Leilei Tian, Xiao Yang and Li Min

Orthopaedic Surgery, 2024, 16, 1801
DOI: 10.1111/os.14142

Biomechanical study on implantable and interventional medical devices

Lizhen Wang, Xili Ding, Wentao Feng, Yuanming Gao, Shudong Zhao and Yubo Fan

Acta Mech. Sin., 2021, 37, 875
DOI: 10.1007/s10409-021-01116-9

Microstructure-dependent deformation mechanisms and fracture modes of gradient porous NiTi alloys

Yintao Zhang, Liqiang Wang, Changgong Lan, Daixiu Wei, Yang Chen, Lechun Xie, Ling Zhang, Weijie Lu and Guang Chen

Materials & Design, 2024, 243, 113049
DOI: 10.1016/j.matdes.2024.113049

PEEK‐Based Orthopedic Composites and Structures for Orthopedic Repair: A Review

Shuai Li, Rui Chen, Wei Xu, Chengyin Zhang, Guoshou Liu, Qingwang Wang and Xiaojun Tan

Polymer Composites, 2025, 46, 15567
DOI: 10.1002/pc.70025

Edgewise compression of novel hexagonal hierarchical and asymmetric unit cells honeycomb metamaterials

Fatih Usta, Fabrizio Scarpa and Halit S. Türkmen

Materials Today Communications, 2020, 24, 101102
DOI: 10.1016/j.mtcomm.2020.101102

The effects of plasma electrolytically oxidized layers containing Sr and Ca on the osteogenic behavior of selective laser melted Ti6Al4V porous implants

I.A.J. van Hengel, M. Laçin, M. Minneboo, L.E. Fratila-Apachitei, I. Apachitei and A.A. Zadpoor

Materials Science and Engineering: C, 2021, 124, 112074
DOI: 10.1016/j.msec.2021.112074

Hybrid-honeycomb structures with hexagonal and auxetic cells for dual-tailorable Poisson’s ratio and stiffness

Wei Li, Honghong Zhao, Yifeng Zhong, Poh Leong Hien and Rong Liu

Materials Today Communications, 2025, 47, 112968
DOI: 10.1016/j.mtcomm.2025.112968

Mechanical Properties of Metamaterials and Structures Based on Shape Memory Alloys

E. O. Vinokurov, A. Klopotov and Yu. A. Abzaev

Vestnik Tomskogo gosudarstvennogo arhitekturno-stroitelnogo universiteta, 2025, 27, 247
DOI: 10.31675/1607-1859-2025-27-5-247-255

Fatigue properties of 3D-printed polymeric metamaterials: A review

Ani Daniel, Hamed Bakhtiari, Alireza Nouri, Barun K. Das, Muhammad Aamir and Majid Tolouei-Rad

Smart Materials in Manufacturing, 2025, 3, 100076
DOI: 10.1016/j.smmf.2025.100076

Semianalytical Geometry-Property Relationships for Some Generalized Classes of Pentamodelike Additively Manufactured Mechanical Metamaterials

R. Hedayati, S. Jedari Salami, Y. Li, M. Sadighi and A.A. Zadpoor

Phys. Rev. Applied, 2019, 11
DOI: 10.1103/PhysRevApplied.11.034057

Novel 3D auxetic lattice structures developed based on the rotating rigid mechanism

Ying Gao, Xingyu Wei, Xingkai Han, Zhengong Zhou and Jian Xiong

International Journal of Solids and Structures, 2021, 233, 111232
DOI: 10.1016/j.ijsolstr.2021.111232

Determination of the Effect of TiN Coating on Self-Fitting Properties of Dental Implants Made of NiTi Alloy

İsmail Hakkı Korkmaz and Miraç Sağlam

ACS Biomater. Sci. Eng., 2022, 8, 4586
DOI: 10.1021/acsbiomaterials.2c00550

3D printable, high energy-absorbing, biomimetic and fractal antler structures

Bo Zhao, Yuheng Liu, Haibao Lu and Ran Tao

Smart Mater. Struct., 2025, 34, 025018
DOI: 10.1088/1361-665X/ada505

Kriging-assisted design of functionally graded cellular structures with smoothly-varying lattice unit cells

Xiliang Liu, Liang Gao, Mi Xiao and Yan Zhang

Computer Methods in Applied Mechanics and Engineering, 2022, 390, 114466
DOI: 10.1016/j.cma.2021.114466

Clinical Application of 3D‐Printed Custom Hemipelvic Prostheses With Re‐Entrant Chiral Structure in Reconstruction After Pelvic Tumor Resection

Linyun Tan, Ye Li, Xin Hu, Yitian Wang, Xiaolu Zhang, Xiaoyan Liu, Yi Luo, Yong Zhou, Chongqi Tu, Xiao Yang and Li Min

Orthopaedic Surgery, 2025, 17, 3067
DOI: 10.1111/os.70159

A new design of 3D-printed orthopedic bone plates with auxetic structures to mitigate stress shielding and improve intra-operative bending

Sanjairaj Vijayavenkataraman, Akhil Gopinath and Wen F. Lu

Bio-des. Manuf., 2020, 3, 98
DOI: 10.1007/s42242-020-00066-8

Design, material, function, and fabrication of metamaterials

Amir A. Zadpoor, Mohammad J. Mirzaali, Lorenzo Valdevit and Jonathan B. Hopkins

APL Materials, 2023, 11
DOI: 10.1063/5.0144454

The role of stiffness-matching in avoiding stress shielding-induced bone loss and stress concentration-induced skeletal reconstruction device failure

Agnieszka Chmielewska and David Dean

Acta Biomaterialia, 2024, 173, 51
DOI: 10.1016/j.actbio.2023.11.011

The Multidirectional Auxeticity and Negative Linear Compressibility of a 3D Mechanical Metamaterial

Krzysztof K. Dudek, Daphne Attard, Ruben Gatt, James N. Grima-Cornish and Joseph N. Grima

Materials, 2020, 13, 2193
DOI: 10.3390/ma13092193

Additively manufactured controlled porous orthopedic joint replacement designs to reduce bone stress shielding: a systematic review

Sarah Safavi, Yihang Yu, Dale L. Robinson, Hans A. Gray, David C. Ackland and Peter V. S. Lee

J Orthop Surg Res, 2023, 18
DOI: 10.1186/s13018-022-03492-9

An optimized lozenge-chiral auxetic metamaterial with tunable auxeticity and stiffness

Runsheng Hou, Peng Dong, Jiayi Hu, Zhi Gong, Sorour Sadeghzade, Jinrui Cao and Hongyan Yuan

Materials & Design, 2024, 237, 112530
DOI: 10.1016/j.matdes.2023.112530

A note on the multiscale volume changes of auxetic metamaterials assessed via digital image correlation

Julia Mentges and Thiago André Carniel

Matéria (Rio J.), 2022, 27
DOI: 10.1590/s1517-707620220002.1306

Metal additive manufacturing of lattice-based orthopedic implants: A comprehensive review of requirements and design strategies

Melika Babaei, Simone Murchio, Lorena Emanuelli, Raffaele De Biasi, Luigi Branca Vergano, Roberto Giuliani, Shuya Tian, Marie-Luise Wille, Filippo Berto, Massimo Pellizzari and Matteo Benedetti

Materials Science and Engineering: R: Reports, 2025, 166, 101075
DOI: 10.1016/j.mser.2025.101075

Fatigue behavior of additively manufactured meta-biomaterials for biomedical applications: A review

Jaimon Dennis Quadros, Rahul Murikkoli, Yakub Iqbal Mogul, Ma Mohin, Abdul Aabid, Muneer Baig and Omar Shabbir Ahmed

Results in Engineering, 2025, 27, 105761
DOI: 10.1016/j.rineng.2025.105761

A bioinspired multi-layer assembly method for mechanical metamaterials with extreme properties using topology optimization

Peng Yin, Baotong Li, Yue Zhang, Bang Li, Jun Hong, Xiaohu Li, Xiaoming Chen and Jinyou Shao

Computer Methods in Applied Mechanics and Engineering, 2025, 438, 117850
DOI: 10.1016/j.cma.2025.117850

Investigation of design space in manufacturing meta-biomaterials by additive manufacturing

Siti Rohaida Mohamed and Saiful Anwar Che Ghani

IOP Conf. Ser.: Mater. Sci. Eng., 2021, 1078, 012024
DOI: 10.1088/1757-899X/1078/1/012024

High‐Aspect‐Ratio Nanostructured Surfaces as Biological Metamaterials

Stuart G. Higgins, Michele Becce, Alexis Belessiotis‐Richards, Hyejeong Seong, Julia E. Sero and Molly M. Stevens

Advanced Materials, 2020, 32
DOI: 10.1002/adma.201903862

Anisotropy-aware design of auxetic metamaterials via multi-objective evolutionary optimization

Márton Tamás Birosz, János Hegedűs-Kuti and Mátyás Andó

Engineering with Computers, 2026, 42
DOI: 10.1007/s00366-025-02266-1

An Approach to comparing protein structures and origami models - Part 2. Multi-domain proteins

Hay Azulay, Michal (Pellach) Leshem and Nir Qvit

Biochimica et Biophysica Acta (BBA) - Biomembranes, 2020, 1862, 183411
DOI: 10.1016/j.bbamem.2020.183411

Micro-scale graded mechanical metamaterials exhibiting versatile Poisson’s ratio

K.K. Dudek, L. Mizzi, J.A. Iglesias Martínez, A. Spaggiari, G. Ulliac, R. Gatt, J.N. Grima, V. Laude and M. Kadic

Composite Structures, 2023, 319, 117151
DOI: 10.1016/j.compstruct.2023.117151

Graph-theoretic estimation of reconfigurability in origami-based metamaterials

Koshiro Yamaguchi, Hiromi Yasuda, Kosei Tsujikawa, Takahiro Kunimine and Jinkyu Yang

Materials & Design, 2022, 213, 110343
DOI: 10.1016/j.matdes.2021.110343

Pattern transformation induced waisted post-buckling of perforated cylindrical shells

Jiabin Sun, Zhenhuan Zhou, Xueqing Cao, Qifeng Zhang, Wei Sun, Zhenzhen Tong, Xinsheng Xu, C.W. Lim and J.N. Reddy

Journal of the Mechanics and Physics of Solids, 2022, 164, 104915
DOI: 10.1016/j.jmps.2022.104915

Metallic meta-biomaterials: A critical review of fatigue behaviors

Huiwen Huang, Lizhen Wang and Yubo Fan

Journal of Science: Advanced Materials and Devices, 2023, 8, 100585
DOI: 10.1016/j.jsamd.2023.100585

Investigating mechanical enhancement and vibrational response of additive manufactured PLA scaffolds with carbon nanotube and graphene oxide: Fabrication and multi-scale simulation

Sajad Niazi Angili, Mohammadreza Morovvati, Yashar Vatandoust, Mohammad Fotouhi and Mahdi Bodaghi

Composite Structures, 2025, 369, 119320
DOI: 10.1016/j.compstruct.2025.119320

Bioinspired 3D‐Printed Auxetic Structures with Enhanced Fatigue Behavior

Masoud Shirzad, Juhyun Kang, Garin Kim, Mahdi Bodaghi and Seung Yun Nam

Adv Eng Mater, 2024, 26
DOI: 10.1002/adem.202302036

Functionality-packed additively manufactured porous titanium implants

I.A.J. van Hengel, F.S.A. Gelderman, S. Athanasiadis, M. Minneboo, H. Weinans, A.C. Fluit, B.C.J. van der Eerden, L.E. Fratila-Apachitei, I. Apachitei and A.A. Zadpoor

Materials Today Bio, 2020, 7, 100060
DOI: 10.1016/j.mtbio.2020.100060

Computational design of mechanical metamaterials through misaligned periodic microstructure

Jiaxin Zhou, Ikumu Watanabe and Keita Kambayashi

Materials & Design, 2025, 253, 113819
DOI: 10.1016/j.matdes.2025.113819

An Abaqus plugin for evaluation of the Auxetic structure performance

A. R. Sangsefidi, S. H. Dibajian, J. Kadkhodapour, A. P. Anaraki, S. Schmauder and Y. Schneider

Engineering with Computers, 2022, 38, 1681
DOI: 10.1007/s00366-021-01295-w

Adapting Metamaterial Structures for a New Generation of Bone Substitute Scaffolds with the Desired Stiffness and Permeability: A Finite Element Analysis

Humeyra Sevval Kavakli and Daver Ali

J. of Materi Eng and Perform, 2025, 34, 20586
DOI: 10.1007/s11665-025-10686-9

A comprehensive review on hybrid lattice meta-structures for biomedical engineering applications

Masoud Shirzad, Ali Zolfagharian, Seung Yun Nam and Mahdi Bodaghi

European Journal of Mechanics - A/Solids, 2026, 116, 105878
DOI: 10.1016/j.euromechsol.2025.105878

Meta-structures for energy absorption: materials, designs, and applications in additive manufacturing and its future scope

Priyanka Anil Dalave, Tharika Joseph, Dhruv Patil, Jigar Patadiya, Minoo Naebe and Balasubramanian Kandasubramanian

J Braz. Soc. Mech. Sci. Eng., 2024, 46
DOI: 10.1007/s40430-024-05094-4

Biomechanics and Mechanobiology of Additively Manufactured Porous Load‐Bearing Bone Implants

Yuan Jin, Jianhui Li, Haitao Fan, Jianke Du and Yong He

Small, 2025, 21
DOI: 10.1002/smll.202409955

Non-reciprocal wave propagation in time-modulated elastic lattices with inerters

Danilo Karličić, Milan Cajić, Stepa Paunović, Aleksandar Obradović, Sondipon Adhikari and Johan Christensen

Applied Mathematical Modelling, 2023, 117, 316
DOI: 10.1016/j.apm.2022.12.029

Compliant Cross-Axis Joints: A Tailoring Displacement Range Approach via Lattice Flexures and Machine Learning

Christian Cáceres-C., Enrique Cuan-Urquizo and Mariel Alfaro-Ponce

Applied Sciences, 2022, 12, 6635
DOI: 10.3390/app12136635

Influence of Processing Parameters on Additively Manufactured Architected Cellular Metals: Emphasis on Biomedical Applications

Yixuan Shi, Yuzhe Zheng, Chengcong Huang, Shangyan Zhao, Xuan Li, Yuchen Lu, Yuzhi Wu, Peipei Li, Luning Wang and Yageng Li

JFB, 2025, 16, 53
DOI: 10.3390/jfb16020053

Micro‐Scale Auxetic Hierarchical Mechanical Metamaterials for Shape Morphing

Krzysztof K. Dudek, Julio A. Iglesias Martínez, Gwenn Ulliac and Muamer Kadic

Advanced Materials, 2022, 34
DOI: 10.1002/adma.202110115

Auxetic mechanical metamaterials (AMMs): A state-of-the-art review on advances in design, fabrication, and applications

Muhammad Abu Hurairah and Seunghyun Lee

J Mech Sci Technol, 2026, 40, 1093
DOI: 10.1007/s12206-026-0130-3

Lattice Structures for Bone Replacement: The Intersection of Bone Biomechanics, Lattice Design, and Additive Manufacturing

Stylianos Kechagias, Maxwell J. Munford, Frederik C.H. Masure, Richard J. van Arkel and Reece N Oosterbeek

Adv Materials Technologies, 2026, 11
DOI: 10.1002/admt.202501885

Preparation of Negative Poisson's Ratio 316L Stainless Steel Porous Bone Scaffolds Based on Finite Element Analysis and 3D Printing Technology

Shubo Xu, Xue Yang, Xinzhi Hu, Hailong Ma, Jianing Li and Guocheng Ren

mr, 2025
DOI: 10.1590/1980-5373-MR-2024-0479

Deep learning for the rare-event rational design of 3D printed multi-material mechanical metamaterials

Helda Pahlavani, Muhamad Amani, Mauricio Cruz Saldívar, Jie Zhou, Mohammad J. Mirzaali and Amir A. Zadpoor

Commun Mater, 2022, 3
DOI: 10.1038/s43246-022-00270-2

Parameters analysis of cylindrical structures with negative poisson's ratio under compression

Junjie Gong, Zhihao Ma, Yuanyuan Wei and Wenfeng Hao

Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications, 2026
DOI: 10.1177/14644207251413368

Additively Manufactured Hierarchical Auxetic Mechanical Metamaterials

Ekaterina Mazur and Igor Shishkovsky

Materials, 2022, 15, 5600
DOI: 10.3390/ma15165600

The mechanics of tension-driven out-of-plane buckling in auxetic plates: Bridging continuum theory and lattice metamaterials

Ling-Qi Wang, Zhang-Sheng Pan, Jing-Zhong Tong, Ken E. Evans and Jiajia Shen

International Journal of Solids and Structures, 2025, 322, 113630
DOI: 10.1016/j.ijsolstr.2025.113630

Mechanical performance of additively manufactured meta-biomaterials

Amir A. Zadpoor

Acta Biomaterialia, 2019, 85, 41
DOI: 10.1016/j.actbio.2018.12.038

Osteogenic and antibacterial surfaces on additively manufactured porous Ti-6Al-4V implants: Combining silver nanoparticles with hydrothermally synthesized HA nanocrystals

Mohammad Fazel, Hamid R. Salimijazi, Morteza Shamanian, Michelle Minneboo, Khashayar Modaresifar, Ingmar A.J. van Hengel, Lidy E. Fratila-Apachitei, Iulian Apachitei and Amir A. Zadpoor

Materials Science and Engineering: C, 2021, 120, 111745
DOI: 10.1016/j.msec.2020.111745

Electroconductive Melt Electrowritten Patches Matching the Mechanical Anisotropy of Human Myocardium

Dinorath Olvera, Mina Sohrabi Molina, Gillian Hendy and Michael G. Monaghan

Adv Funct Materials, 2020, 30
DOI: 10.1002/adfm.201909880

Mechanical metamaterials with negative Poisson’s ratio: A review

Lujie Zhang, Sen Yan, Wenlong Liu, Yao Liu, Wenjun Cai, Zidong Zhang and Ji Zhou

Engineering Structures, 2025, 329, 119838
DOI: 10.1016/j.engstruct.2025.119838

Mechanical metamaterial piezoelectric nanogenerator (MM-PENG): Design principle, modeling and performance

Pengcheng Jiao, Hassene Hasni, Nizar Lajnef and Amir H. Alavi

Materials & Design, 2020, 187, 108214
DOI: 10.1016/j.matdes.2019.108214

Revealing interactions of layered polymeric materials at solid-liquid interface for building solvent compatibility charts for 3D printing applications

Kirill S. Erokhin, Evgeniy G. Gordeev and Valentine P. Ananikov

Sci Rep, 2019, 9
DOI: 10.1038/s41598-019-56350-w

Structural metamaterials with negative mechanical/thermomechanical indices: A review

João O. Cardoso, João Paulo Borges and Alexandre Velhinho

Progress in Natural Science: Materials International, 2021, 31, 801
DOI: 10.1016/j.pnsc.2021.10.015

Additive manufactured 3D auxetic metamaterial designed by minimal surfaces with enhanced ductility

Fei Liu, Xiaobo Zhang, Junjie Chen, Hao Liang, Tao Luo and Jin Xu

Journal of Alloys and Compounds, 2025, 1036, 181679
DOI: 10.1016/j.jallcom.2025.181679

A bio-inspired auxetic metamaterial with two plateau regimes: Compressive properties and energy absorption

Amer Alomarah, Ye Yuan and Dong Ruan

Thin-Walled Structures, 2023, 192, 111175
DOI: 10.1016/j.tws.2023.111175

Progress of structural scaffold biomaterials for bone tissue defect repair: A cutting-edge review

Yang Zhao, Qianqian Wu, Chengwei Zhao, Han Zhou and Linzhi Wu

Composite Structures, 2024, 349-350, 118542
DOI: 10.1016/j.compstruct.2024.118542

Emerging topics in nanophononics and elastic, acoustic, and mechanical metamaterials: an overview

Anastasiia O. Krushynska, Daniel Torrent, Alejandro M. Aragón, Raffaele Ardito, Osama R. Bilal, Bernard Bonello, Federico Bosia, Yi Chen, Johan Christensen, Andrea Colombi, Steven A. Cummer, Bahram Djafari‐Rouhani, Fernando Fraternali, Pavel I. Galich, Pedro David Garcia, Jean‐Philippe Groby, Sebastien Guenneau, Michael R. Haberman, Mahmoud I. Hussein, Shahram Janbaz, Noé Jiménez, Abdelkrim Khelif, Vincent Laude, Mohammad J. Mirzaali, Pawel Packo, Antonio Palermo, Yan Pennec, Rubén Picó, María Rosendo López, Stephan Rudykh, Marc Serra‐Garcia, Clivia M. Sotomayor Torres, Timothy A. Starkey, Vincent Tournat and Oliver B. Wright

Nanophotonics, 2023, 12, 659
DOI: 10.1515/nanoph-2022-0671

Advancing auxetic materials: Emerging development and innovative applications

Abdulrasheed Suleiman Shuaibu, Junjie Deng, Chenchen Xu, Victor Pelumi Ade-Oke, Abdulmajeed Aliyu and Daniel Momoh

REVIEWS ON ADVANCED MATERIALS SCIENCE, 2024, 63
DOI: 10.1515/rams-2024-0021