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Attenuated short wavelength buckling and force propagation in a biopolymer-reinforced rod

W. L. Shan,ab   Z. Chen,c   C. P. Broedersz,d   A. A. Gumaste,b   W. O. Soboyejoab  and  C. P. Brangwynne*e  
Author affiliations

* Corresponding authors

a The Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA

b Princeton Institute for the Science and Technology of Materials, Princeton University, Princeton, NJ 08544, USA

c Department of Biomedical Engineering, Washington University in St. Louis, St. Louis, USA

d Lewis-Sigler Institute for Integrative Genomics and the Department of Physics, Princeton University, Princeton, NJ 08544, USA

e The Department of Chemical and Biological Engineering, Princeton University, Princeton, NJ 08544, USA
E-mail: cbrangwy@princeton.edu

Abstract

We investigate short wavelength buckling of a thin elastic rod embedded in an elastic gelatin biopolymer network. Using a combination of micro-mechanical testing, microscopic imaging, as well as theory, we show that the buckling penetration depth can be tuned by varying the mechanical properties of the rod and the rod–gel interface. Prior models have predicted a decay length that is dependent on the nonlinear material response of the embedding media. Here we identify a regime where the decay length is governed by the ratio of the bending rigidity of the rod and the linear elastic response of the medium, and show that our experiments are in good quantitative agreement with such a linear model.

Graphical abstract: Attenuated short wavelength buckling and force propagation in a biopolymer-reinforced rod

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Article information

https://doi.org/10.1039/C2SM26974K
Submitted
24 Aug 2012
Accepted
05 Oct 2012
First published
16 Oct 2012
Soft Matter, 2013,9, 194-199
Article type
Paper
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Attenuated short wavelength buckling and force propagation in a biopolymer-reinforced rod

W. L. Shan, Z. Chen, C. P. Broedersz, A. A. Gumaste, W. O. Soboyejo and C. P. Brangwynne, Soft Matter, 2013, 9, 194
DOI: 10.1039/C2SM26974K

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