Paws, pads and plants: the enhanced elasticity of cell-filled load-bearing structures
Paws, pads and plants: the enhanced elasticity of cell-filled load-bearing structures
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DOI：
10.1098/rspa.2015.0107
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发表时间：
2015-06-08
影响因子：
3.5
通讯作者：
Goriely, Alain
中科院分区：
文献类型：
--
作者：
Mihai, L. Angela;Alayyash, Khulud;Goriely, Alain
爪子、脂肪垫和植物都有一个显著的结构，由封闭的细胞组成，细胞壁有弹性，能够承受大的载荷和变形。一个关键的挑战是了解这些结构的功能是如何通过其几何和材料设计来增强的。要做到这一点，我们比较不同的弹性模型在大应变变形时，细胞是空的或充满不可压缩的液体或固体的核心。我们从理论上证明，对于三种不同的细胞几何形状，在与细胞壁中的曲率变化相关的方向上的弹性模量（i）当细胞被填充时更大;（ii）随着细胞内部压力的增加而增加;以及（iii）也随着细胞壁的厚度增加或当壁是多层时增加。由于这些结果不依赖于描述细胞壁材料的应变能函数的选择，因此它们对由不同弹性材料制成的各种结构都是有效的。对于多个细胞一起变形，由于外力，增加芯压力下的细胞壁的弹性模量的增加被发现在整个结构的数值。
Paws, fat pads and plants share a remarkable structure made up of closed cells with elastic cell walls capable of supporting large loads and deformations. A key challenge is to understand how the function of these structures is enhanced by their geometric and material design. To do so, we compare different elastic models operating in large strain deformation when the cells are empty or filled with an incompressible liquid or solid core. We demonstrate theoretically, for three different cell geometries, that the elastic modulus in a direction associated with the change of curvature in the cell wall (i) is greater when the cell is filled; (ii) increases as the internal cell pressure increases; and (iii) increases also as the thickness of the cell wall increases or when the wall is multi-layer. As these results do not depend on the choice of the strain-energy function describing the cell-wall material, they are valid for a wide range of structures made from different elastic materials. For multiple cells deforming together due to external forces, the increase in elastic modulus of the cell walls under increasing core pressure is found numerically throughout the structure.