Birth and decay of tensional wrinkles in hyperelastic sheets
Birth and decay of tensional wrinkles in hyperelastic sheets
复制标题
超弹性片材中张力皱纹的产生和衰减
DOI：
10.1103/physreve.100.053003
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发表时间：
2019
影响因子：
2.4
通讯作者：
Kudrolli, Arshad
中科院分区：
文献类型：
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作者：
Panaitescu, Andreea;Xin, Meng;Davidovitch, Benny;Chopin, Julien;Kudrolli, Arshad
我们通过实验证明，与线弹性材料相比，拉伸乳胶片中的褶皱发生在有限应变范围内，并且在更大的应用应变范围内，它们的振幅增长然后衰减到零。如果薄片相对于其宽度足够薄，并且只有在有限的长宽比范围内，皱褶才会发生。我们通过模拟表明，Mooney-Rivlin超弹性模型描述了我们实验中观察到的皱纹的生长和衰减。波长随施加张力的减少被发现与Cerda和Mahadevan在2003年提出的远离阈值的情景一致。然而，与原始模型的预测相反，观察到振幅随着拉伸载荷的增加而减小。我们解决了压应力崩溃的关键假设，而不是压应变崩溃，这是远离阈值分析的基础，并通过测量拉伸板在横向上的实际弧长及其与褶皱形状的平面投影宽度的差异来测试它。我们的实验和数值模拟表明了压应力的崩溃，并揭示了远离阈值分析的正确实施与在实验和模拟中观察到的振幅对施加拉伸载荷的非单调依赖性是一致的。因此，我们的工作支持并扩展了远离阈值分析到矩形超弹性板的拉伸问题。
We demonstrate with experiments that wrinkling in stretched latex sheets occurs over finite strains, and that their amplitudes grow and then decay to zero over a greater range of applied strains compared with linear elastic materials. The wrinkles occur provided the sheet is sufficiently thin compared to its width, and only over a finite range of length-to-width ratios. We show with simulations that the Mooney-Rivlin hyperelastic model describes the observed growth and decay of the wrinkles in our experiments. The decrease of wavelength with applied tension is found to be consistent with a far-from-threshold scenario proposed by Cerda and Mahadevan in 2003. However, the amplitude is observed to decrease with increasing tensile load, in contrast with the prediction of their original model. We address the crucial assumption ofcollapse of compressive stress, as opposed to collapse of compressive strain, underlying the far-from-threshold analysis, and test it by measuring the actual arc-length of the stretched sheet in the transverse direction and its difference from the width of a planar projection of the wrinkled shape. Our experiments and numerical simulations indicate acollapse of the compressive stressand reveal that a proper implementation of the far-from-threshold analysis is consistent with the nonmonotonic dependence of the amplitude on applied tensile load observed in experiments and simulations. Thus, our work support and extend far-from-threshold analysis to the stretching problem of rectangular hyperelastic sheets.