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Nonlinear scaling effects in the stiffness of soft cellular structures

机译：非线性比例效应对软胞结构刚度的影响

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For cellular structures with uniform geometry, cell size and distribution, made from a neo-Hookean material, we demonstrate experimentally that large stretching causes nonlinear scaling effects governed by the microstructural architecture and the large strains at the cell level, which are not predicted by the linear elastic theory. For this purpose, three honeycomb-like structures with uniform square cells in stacked distribution were designed, where the number of cells varied, while the material volume and the ratio between the thickness and the length of the cell walls were fixed. These structures were manufactured from silicone rubber and tested under large uniaxial tension in a bespoke test fixture. Optical strain measurements were used to assess the deformation by capturing both the global displacements of the structure and the local deformations in the form of a strain map. The experimental results showed that, under sufficiently large strains, there was an increase in the stiffness of the structure when the same volume of material was arranged as many small cells compared to when it was organized as fewer larger cells. Finite element simulations confirmed our experimental findings. This study sheds light upon the nonlinear elastic responses of cellular structures in large-strain deformations, which cannot be captured within the linear elasticity framework.
机译：对于由新霍克式材料制成的具有均匀几何形状，单元尺寸和分布的细胞结构，我们通过实验证明，大拉伸会导致微观尺度结构和细胞水平上的大应变所控制的非线性缩放效应，而这并不是由Hook预测的。线性弹性理论。为了这个目的，设计了三个蜂窝状结构，其具有均匀分布的正方形小室，其中小室的数量变化，而材料的体积以及小室壁的厚度与长度之比是固定的。这些结构由硅橡胶制成，并在定制测试夹具中在较大的单轴张力下进行了测试。光学应变测量用于通过捕获结构的整体位移和应变图形式的局部变形来评估变形。实验结果表明，在足够大的应变下，与组织较少数量的大单元相比，当相同体积的材料布置的小单元数量多时，结构的刚度增加。有限元模拟证实了我们的实验结果。这项研究揭示了大应变变形中细胞结构的非线性弹性响应，而线性弹性框架中无法捕获这些非线性响应。

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