Open Access Article
Robert D. L. Jerusalem
,
Michail Maricanov
,
Anas Kerkour el Miad,
Hannah Keune,
Frank Katzenberg
and
Joerg C. Tiller
*
Biomaterials & Polymer Science, Department of Biochemical and Chemical Engineering, TU Dortmund, 44221 Dortmund, Germany. E-mail: joerg.tiller@tu-dortmund.de
First published on 26th March 2026
Polymers that can store mechanical energy administered shock-wise would be superior to simply shock absorbing elastic materials due to advanced safety and the ability to simultaneously store energy. A way to obtain such novel material properties is to design a polymeric system that is rubber-elastic and has the ability to form shape-stabilizing crystals upon strain while no such crystals are formed upon thermal crystallization. So far no such material exists. This study investigates, if cross-link partially miscible blends composed of semi-crystalline poly(vinylidene fluoride) (PVDF) and amorphous poly(2-ethyl-2-oxazoline) (PEtOx) shows such behavior. Networks with a PVDF content of 65 wt% were found to inhibit the thermal crystallization of PVDF at ambient temperature by 69% of the maximal degree of crystallinity. Rapid stretching this material affords a strain-induced crystallization, which results in self-inforcement and stabilization of the stretched shape. The crystallization within these networks is inhibited even above the glass transition temperature (Tg) of the blends. This unusual behavior is attributed to a local compositional segregation during formation of a minor fraction of seed crystals, which increases the local Tg in the amorphous interphase between crystals and mixed amorphous blend that retains the lower mixture Tg. The unexpected effect prevents further crystal growth even in a material with an overall Tg below ambient temperature. The increased local Tg is increasing the stiffness of the material, making it unsuitable as shock absorber, but the blend approach is a promising way towards rapid energy and shock absorbing materials.
Natural rubber (NR) is the oldest and most widely used representative of shock absorbing materials, as it transforms from a rubber-elastic to an energy-elastic material when stretched. The underlying mechanism is strain-induced crystallization, which enables natural rubber to withstand very high loads even at large deformations. When NR is unloaded, the strain-induced crystals typically melt, and the rubber returns to its original state. This makes natural rubber ideally suited for reversibly absorbing shock-like loads, such as those occurring during a bungee jump. In order to prevent the melting of strain-induced crystals, thereby stabilizing the material in its stretched, highly oriented state and fully absorbing the deformation energy, NR was rendered into a highly efficient shape-memory polymer.16,17 However, the crystallization of NR requires several seconds before the stretched state becomes fully stabilized and the energy applied during deformation is permanently stored. Therefore, SMNR is not a RESA material.18 A natural material that is to some extent capable of absorbing shock and partially storing deformation energy upon formation of stable strain induced crystals is spider silk.19 The general feasibility of using a synthetic strain-induced crystallizing polymer as a RESA material was demonstrated with crosslinked syndiotactic polypropylene (x-sPP).18 Once brought to the amorphous state by quenching, this material can crystallize with a sufficiently fast rate upon stretching to make it suitable as shock- and energy-absorbing material, e.g., as safety rope. Unfortunately, x-sPP is not stable in the amorphous state at room temperature, since thermal crystallization occurs within less than 5 min18 and leads to a complete loss of its shock- and energy-absorbing capabilities.
Since all attempts in unpublished preliminary studies to prevent thermal crystallization, for example by adding white oil, have failed, this work pursues a new strategy to obtain a mostly amorphous, rubber-elastic material that crystallizes and, thus, self-reinforces only when stretched. The idea is to crosslink a partially miscible blend of a semi-crystalline low-Tg and an amorphous high-Tg component that can be quenched into an amorphous rubber elastic state. The question is whether the crosslinking along with the partial miscibility allows for retaining the amorphous state in relaxed form, but enables strain-induced crystallization by mechanically induced separation of the polymer chains.
Poly(vinylidene fluoride) (PVDF), a semi-crystalline fluoropolymer with a Tg of about −40 °C is a promising candidate for testing our strategy to realize a rubber elastic, deformable material that self-reinforces when stretched upon strain-induced crystallization, since it offers a significant miscibility with numerous carbonyl-group containing polymers due to strong dipolar interactions.20–23 Due to a Tg of about 54 °C and a miscibility with up to 30 wt% PVDF, poly(2-ethyl-2-oxazoline) (PEtOx) was chosen to be blended with PVDF in this work.24 In previous work, we could show that such crosslinked blends can act as heating rate sensitive shape memory materials.25
This study investigates, how crosslinked blends of PVDF and PEtOx behave after being quenched into an amorphous state with respect to composition dependent thermal crystallization, strain-induced crystallization, and resulting mechanical properties.
:
8, according to previously published work.25 To this end, the respective PVDF and PEtOx amounts (mPVDF + mPEtOx = 5 g) were dissolved in 25 ml dimethyl sulfoxide (DMSO) in a glass Petri dish on a hot plate set to a temperature of 100 °C. The mixture was stirred at the heating plate until the polymer/DMSO weight ratio reaches 1
:
1 (wt/wt) detected by frequent weighing. Subsequently, 0.1 g DCP and 0.8 g TAIC were added for synthesis of lowly crosslinked networks and again thoroughly stirred. 0.25 g DCP and 2 g TAIC were added for synthesis of the highly crosslinked networks. In the following lowly and highly crosslinked networks are referred to as LC and HC, respectively. The compositions of the mixtures of components used for PVDF/PEtOx LC and HC network synthesis are listed in Tables S2 and S3 in the SI. Steel spacers with a thickness of 0.5 mm were used to compression mould sheets using a heating press (Paul-Otto-Weber Maschinen- & Apparatebau GmbH) at a temperature of 160 °C. Curing was carried out in the heating press at the same temperature for 30 min. The networks were then dried in a vacuum oven at a pressure of 30 mbar and a temperature of 120 °C for at least 4 h (Scheme 1).
![]() | (1) |
G′(T) denotes the storage modulus, R is the universal gas constant (8.314 J (mol K)−1), and T is the absolute temperature. The weight average density ρ(T,w) at 200 °C was determined for PVDF according to reference26 to ρPVDF = 1.475 g cm−3 and for PEtOx, the density was calculated using the thermal expansion coefficient in accordance with reference27 to ρPEtOx = 0.972 g cm−3.
The glass transition temperature Tg, melting temperature Tm, crystallization temperature Tc and the respective enthalpies ΔHm an ΔHc were determined with a Differential Scanning Calorimeter (DSC) (DSC 2910, TA Instruments, Inc.) using a heating rate of 10 K min−1. The total crystallinity was calculated as the ratio of melting enthalpy ΔHm and the heat of fusion
(eqn (2)). The crystallinity of the samples xc after quenching sealed inside a Teflon bag in ice water or defined cooling with 10 K min−1 was determined analogously by relating the difference of the melting enthalpy ΔHm and the cold crystallization enthalpy ΔHcc to the heat of fusion
of PVDF-crystals, which is assumed to be 105 J g−1.28
![]() | (2) |
Because of strong intermolecular forces between PVDF and PEtOx chains, the mixture glass transition temperatures Tg,calc were calculated according to Utraki (eqn (3)).29 The interaction parameter K* was determined by fitting the calculated Tg,calc to the measured Tg of fully miscible compositions, for the blends and the two differently crosslinked blend networks.
![]() | (3) |
The Tg of selected compositions were also measured using a Dynamic Mechanical Analyzer (DMA) (DMA 850, TA Instruments, Inc.). To this end, samples with a cross section of 0.5 × 10 mm2 and ca. 20 mm length were prepared, mounted to the film-tension clamp and analysed with a heating rate of 10 K min−1, a frequency of 1 Hz, an amplitude of 20 µm and a preload force of 0.01 N.
Gaussian functions were fitted to the 2θ-plot for each WAXS pattern to a confidence of at least 95%, using Matlab R2024b. The area of the most dominant peak at ≈20.6° was divided by the total of the detected area under the curve, to create a crystallinity index k according to eqn (4).
![]() | (4) |
For this purpose, the crystallinity xc and glass transition temperature Tg of the differently composed blends were determined by differential scanning calorimetry (DSC) in order to obtain information regarding their mixing behaviour in dependence on cooling conditions. All samples were cooled with a rate of 10 K min−1 as well as quenched from melt, respectively, before they were subsequently reheated during the DSC measurement to 200 °C with 10 K min−1.
Fig. 1 (left) shows the crystallinities of the differently composed blends determined after quenching as well as cooling with 10 K min−1, respectively. Below approximately 40 wt% PVDF, no crystallinity is observed. Between 40 and 50 wt%, a minor fraction of less than 5 wt% of crystals were found independent on the cooling rate. A distinct influence of the cooling rate becomes evident above 55 wt% PVDF, where samples cooled at 10 K min−1 exhibit significantly higher crystallinity than the quenched samples. Above 65 wt% PVDF the crystallinity of the quenched samples approaches the calculated maximum crystallinity of the blends.
Fig. 1 (right) shows the measured glass transition temperatures (Tg,blend) together with the calculated mixture glass transition temperatures (Tg,calc,xc) as a function of the PVDF content for the quenched PVDF/PEtOx blends. The dotted line represents Tg,calc in dependence on PVDF content assuming complete miscibility over the entire composition range. Expectedly, the glass transition temperature of the amorphous phase increases, since the formation of crystals detracts PVDF from the surrounding amorphous phase. The glass transition temperature (Tg,calc,xc) of the altered amorphous phase was derived from the PVDF crystallinity using eqn (3) and is depicted by the squares and an interpolated solid line in Fig. 1 (right).
The measured Tg corresponds well with Tg,calc up to 65% PVDF for the quenched samples. Above these PVDF contents the measured Tg,quenched deviates from the course of Tg,calc to higher values. However, when considering the amount of PVDF crystals as the reduced content of this polymer in the amorphous blend, the values show a better fit. Thus, the higher degree of crystallinity is most likely causing a higher Tg in the blends at PVDF contents above 65%. This leads to the conclusion that quenching is not capable of increasing the maximum solubility of PVDF in PEtOx, which is between 30 and 40 wt% PVDF concentration. However, the formation of larger amounts of crystallinity can be effectively inhibited upon quenching up to a PVDF concentration of about 65 wt%.
Literature suggest that this might be due to a strongly increased melt viscosity along with the strong intermolecular interactions between PEtOx and PVDF.31,32 This slows down mobility of the chains and thus separation of PVDF along with crystallization of the latter. A similar effect is known for PET as well.33
Next, PVDF/PEtOx networks were prepared over the entire composition range according to a previously published method25 by dissolving the varying amounts of PVDF and PEtOx in dimethyl sulfoxide (DMSO), followed by the addition of dicumyl peroxide (DCP) and triallyl isocyanurate (TAIC). The mixtures were compression-moulded at 160 °C and cured at this temperature for 30 min.
Lowly and highly crosslinked PVDF/PEtOx networks, referred to as LC and HC, respectively, were prepared to investigate the influence of the extent of crosslinking on the maximum solubility and crystallization behaviour. In order to quantify the degree of crosslinking of LC- and HC-PVDF/PEtOx networks, representative compositions were analysed in a Dynamic Mechanical Analyzer (DMA) and the plateau modulus at 200 °C was utilised to calculate the netchain molecular weight according to eqn (1). The resulting netchain molecular weights are listed in Table 1.
| Composition | LC-PVDF/PEtOx | HC-PVDF/PEtOx |
|---|---|---|
| wPVDF [wt%] | Mc [kg mol−1] | Mc [kg mol−1] |
| 30 | 17.0 | 1.6 |
| 65 | 24.0 | 1.8 |
All networks were quenched from the melt at 200 °C to 10 °C and immediately analysed with DSC between −40 °C and 200 °C using a temperature rate of 10 K min−1 to determine the dependence of crystallinity xc on cooling conditions. Fig. 2 shows the determined xc of the differently composed networks after cooling with 10 K min−1 and quenching, respectively. Similar to the blends, the cooling conditions have no effect on the maximum solubility of PVDF in PEtOx, evident by the unchanged crystallinity of the first composition, where crystals are formed. However, crosslinking shifts the onset of crystallization to significantly higher PVDF concentrations, being 50 wt% for the LC and 55 wt% for the HC samples. This finding suggests that crosslinking can increase the maximum solubility of PVDF in PEtOx. However, only the LC blends underwent efficient crystallization inhibition upon quenching. Fig. 3 depicts the glass transition temperature of the LC and HC blends after quenching from the melt. Up to 65 wt% PVDF, the quenched networks follow the prediction of Tg considering full miscibility. Above 65 wt% PVDF the measured glass transition temperature is significantly higher than the predicted (Tg,calc), which explains the fact that crystallization can no longer be inhibited in these networks. The lower crystallinity of the cross-linked samples is due to the fact that cross-linking point similar to branching points suppress crystal growth in polymers.
As seen in Fig. 2 and 3, the LC-PVDF/PEtOx network stays fully amorphous up to a PVDF content of 40 wt% and displays a mixed Tg of 30 °C. This obviously fully miscible composition was checked regarding the ability of LC-PVDF40/PEtOx60 to crystallize upon strain. The network was stretched at different temperatures above its glass transition temperature, but below the Tm of PVDF crystals. At a temperature of 60 °C the network becomes elastically deformable up to 100% strain. After releasing the stretching force, the sample retracted and fully recovered its original length. Thus, the stretched state cannot be stabilized by formed crystals. In order to check if any crystals are formed upon stretching, the samples were cooled to room temperature in the elongated state and analysed by WAXS (see Fig. S1, SI). Since no crystals could be detected, a strain-induced de-mixing and crystallizing does not take place in case of the fully miscible LC-PVDF40/PEtOx60.
Thus, it was then investigated, if metastable LC-PVDF/PEtOx blends are capable of strain-induced crystallization. The most promising candidates are the LC samples with PVDF contents of 55, 60, and 65 wt%, because they possess a low crystallinity in quenched state, but have the potential to crystalize to higher degrees upon slow cooling as seen in Fig. 2 (xc,quenched < xc,10 K min−1). Further, these samples have a Tg below ambient temperature (20 °C). In order to test if the metastable LC-PVDF/PEtOx networks are self-reinforcing upon stretching by strain-induced crystallization, we decided to focus on the LC-PVDF65/PEtOx35 sample, because it has the lowest glass transition temperature (Tg) and inhibits the thermal crystallization to greatest extent. Thus, this network might also have the highest potential for strain-induced crystallization.
In order to determine whether these samples can self-reinforce by crystallizing under strain, rectangular samples were cut from sheets of the LC-PVDF65/PEtOx35 network. The samples were quenched and then immediately drawn in a tensile tester. Fig. 4 shows the stress–strain curves from representative samples drawn at RT, 30 °C and 50 °C.
The LC-PVDF65/PEtOx35 network drawn at room temperature as well as at a temperature of 30 °C shows a pronounced Hookean behaviour with a yield stress of up to 10 MPa followed by strain hardening up to a breaking stress of 41 MPa at a strain of 314% and 36 MPa at 285% strain, respectively. While this behaviour confirms the desired self-reinforcement due to strain-induced crystallization, the yield stress of 10 MPa contradicts previous expectations based on the measured mixture Tg well below room temperature. This increased stiffness at low elongation is most likely caused by either insufficient superheating of the amorphous phase above the glass transition temperature (Tg) or insufficient quenching resulting in a high degree of crystallinity, or a combination of both. To determine whether the higher yield stress is caused by crystals or the amorphous phase, a further sample was drawn at an increased temperature of 50 °C. This sample exhibited strain-hardening up to a breaking stress of 32.6 MPa at 405% strain, while showing a distinctly lower yield stress of about 2 MPa. As yield stress decreases upon drawing at 50 °C, the pronounced Hookean regime is likely caused by the stiffness of the amorphous phase itself rather than the crystals. WAXS patterns recorded immediately after quenching of the sample and subsequent drawing to an elongation of 400% at a temperature of 50 °C show an amorphous halo that alters upon drawing to a highly oriented semi-crystalline structure (see Fig. 4). The dominant peak at ≈20.6° indicates the strain-induced formation of all-trans β-PVDF crystals. In order to gain information whether and to which extent the Tg increase of the amorphous phase above ambient temperature or strain-induced crystals are responsible for stabilization of the material in the observed highly elongated shape after stretching, the recovery of LC-PVDF65/PEtOx35 strained to 400% at 50 °C immediately after quenching was recorded by DMA upon heating to 200 °C at a rate of 5 K min−1.
The recovery versus temperature plot in Fig. 5 appears to display two separate mechanisms responsible for the recovery of the original shape – an initial recovery window between 30–50 °C corresponding to the glass transition temperature and a second recovery window between 60–170 °C corresponding to the melting of the strain induced crystals. The width of the second recovery window is most likely due to the broad nature of the crystallite size distribution.
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| Fig. 5 Recovery versus temperature diagram of a quenched LC-PVDF65/PEtOx35 blend drawn to 400% at 50 °C. | ||
Since the pronounced Hookean behaviour observed at room temperature and even 30 °C (see Fig. 4) do not seem to align with the glass transition temperature measured by DSC, we additionally determined the glass transition temperature from the mechanical relaxation measured by DMA.
As seen in Fig. 6, the Tg measured by DMA is 25 °C, which is significantly higher than the DSC-measured Tg of 9 °C. This explains the pronounced Hookean behaviour observed in the tensile tests at room temperature and 30 °C, as the samples are in the midst of their mechanical softening at this temperature. However, this still does not explain the large difference in the glass transition between the two measurement techniques. A potential reason for the difference in measurement might be caused by the crystals formed during quenching since the crystallization of PVDF leads to enrichment of PEtOx in the amorphous phase and potentially leaving behind an inhomogeneous amorphous phase. This inhomogeneity might not be detectable in the DSC evaluation. To increase the inhomogeneity and potentially allow it to be measured, we cooled the samples from 200 °C with a cooling rate of 10 K min−1 to allow crystallization and measured the glass transition in the DSC.
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| Fig. 6 DMA data of the LC-PVDF65/PEtOx35 network immediately after quenching. The Tg is determined at the maximum of the loss modulus. | ||
Fig. 7 shows the determined glass transition temperature of differently crosslinked PVDF/PEtOx blends after cooling with 10 K min−1. The measured Tg corresponds to the calculated Tg of the ideal mixture and deviates not before significantly different crystallization between quenching and slowly cooling occurs. This is the case for samples with above 55 wt% PVDF for highly and 60 wt% PVDF for lowly crosslinked blends. Once such crystallization takes place the glass transition temperature increases not only above the ideal mixture glass transition temperature Tg,calc but also above the crystallization corrected Tg,calc,xc.
We suspect that the increased glass transition temperature above Tg,calc,xc is caused by the crystallization of PVDF leaving an inhomogeneous amorphous phase behind, which is unable to compensate the decreasing PVDF concentration in the immediate vicinity of the formed crystals and, thus, develops a high Tg region around the crystals. The suspected shape of the Tg progression between PVDF crystals is shown in Fig. 8.
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| Fig. 8 Presumed Tg progression between PVDF crystals, caused by the crystallization-induced removal of PVDF from the amorphous phase in the vicinity of PVDF crystals. | ||
If this holds true, this high Tg region should only be stable as long as the temperature remains below the measured Tg/Tg,max, or conversely, if the samples are annealed sufficiently long above Tg and below Tm, they should again form a more homogeneous mixture with the remaining amorphous phase. In order to proof this theory, we annealed the sample with the largest deviation from Tg,calc,xc – the LC-PVDF65/PEtOx35 sample – at a temperature of 80 °C for 24 h under exclusion of air and subsequently measured the Tg by DSC. Unfortunately, the higher crystallinity and the resulting lower portion of amorphous phase causes only a slight change in cp, which does not allow any reliable statement to be made about a change in Tg. In order to confirm that according to our thesis the Tg decreases due to annealing, DMA measurements were carried out on LC-PVDF65/PEtOx35 samples directly after cooling from the melt with 10 K min−1 as well as after cooling with 10 K min−1 and subsequent annealing at 80 °C for 24 h. As shown in Fig. 9, the DMA measurements show a significant decrease of Tg after the annealing process. This confirms our thesis of the formation of a high-Tg boundary layer around the PVDF crystals, especially since an increase in Tg instead of a decrease would have to be expected due to the increasing crystallinity after annealing, resulting in even greater removal of PVDF from the amorphous phase.
The existence of a high-Tg boundary layer raises the question, if it is capable of acting as crystallization barrier that efficiently inhibits crystal growth of seed crystals at temperatures around and even above the calculated Tg of the remaining PVDF/PEtOx mixture in the amorphous phase. In order to answer this question, we performed WAXS experiments to monitor the crystal growth for different annealing temperatures above the crystallinity-corrected calculated mixture Tg,calc,xc. To this end, the LC-PVDF65/PEtOx35 blend was measured immediately after quenching by wide angle X-ray scattering (WAXS) at different annealing temperatures. We chose the (200)-reflection of the PVDF β-crystals to calculate the crystallinity index k by deconvoluting the diffractogram and dividing the peak area of the (200) reflection by the total area of the diffractogram in the 2θ range from 7 to 22.3°.
Fig. 10 depicts the crystal growth of a quenched LC-PVDF65/PEtOx35 sample in dependence on annealing temperature, indicated by the crystallinity index k. As verified by DSC, carried out after an annealing time of 48 h, the maximum possible crystallinity forms, when the annealing temperature is 60 °C or above. The lower the annealing temperature below 60 °C, the less crystallinity is formed. This confirms our assumption that the significantly higher measured Tg compared to the calculated Tg is indeed related to the formation of a high-Tg boundary layer around the crystals, which inhibits thermal crystallization all the more effectively the lower the ambient temperature. It is noteworthy that the crystallization-induced separation of PVDF and PEtOx and the resulting formation of the high-Tg boundary inhibit thermal crystallization even far above the calculated mixture Tg.
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| Fig. 10 Progress of crystallinity index k with time of a quenched, LC-PVDF65/PEtOx35 blend in dependence on isothermal annealing temperature. | ||
In order to check whether a sample still self-reinforces due to strain-induced crystallization after prolonged storage at a temperature significantly above the calculated mixture Tg, stress–strain curves of the LC-PVDF65/PEtOx35 sample were recorded immediately after quenching and after storage for 48 hours at 30 °C, respectively. As seen in Fig. 11, although the yield stress increases due to the higher crystallinity after storage compared to the sample drawn directly after quenching, the ability to self-reinforce upon strain-induced crystallization is not lost.
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| Fig. 11 Stress–strain diagrams of the LC-PVDF65/PEtOx35 blend, drawn at 50 °C directly after quenching (solid line) and after further storage at a temperature of 30 °C for 48 h (dotted line). | ||
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