Universality in Nonlinear Elasticity of Biological and Polymeric Networks and Gels
Universality in Nonlinear Elasticity of Biological and Polymeric Networks and Gels
复制标题
DOI：
10.1021/ma102154u
复制
发表时间：
2011-01-11
期刊：
影响因子：
5.5
通讯作者：
Carrillo, Jan-Michael Y.
中科院分区：
文献类型：
--
作者：
Dobrynin, Andrey V.;Carrillo, Jan-Michael Y.
网络和凝胶是我们日常生活的一部分，从汽车轮胎和橡皮筋到生物组织和细胞。生物和聚合物网络在相对小的应力下显示出非常高的变形能力，并且可以承受高达其初始尺寸10倍的可逆变形。这些材料的一个显著特征是高度非线性的应力-应变曲线，导致材料随着变形的增加而硬化。这将网络和凝胶与常规材料（如金属和玻璃）区分开，在可逆变形状态下显示出线性应力应变关系。使用理论分析和分子动力学模拟，我们提出并测试了一个理论，该理论描述了各种各样的生物和聚合物网络和凝胶的非线性力学性能，通过将它们的宏观应变硬化行为与网络链的分子参数。该理论提供了应变依赖性网络模量和网络变形之间的普遍关系，并解释了天然橡胶、合成聚合物网络和肌动蛋白、胶原蛋白、纤维蛋白、波形蛋白和神经丝的生物聚合物网络的应变硬化。
Networks and gels are part of our everyday experience starting from automotive tires and rubber bands to biological tissues and cells. Biological and polymeric networks show remarkably high deformability at relatively small stresses and can sustain reversible deformations up to 10 times their initial size. A distinctive feature of these materials is highly nonlinear stress-strain curves leading to material hardening with increasing deformation. This differentiates networks and gels from conventional materials, such as metals and glasses, showing linear stress strain relationship in the reversible deformation regime. Using theoretical analysis and molecular dynamics simulations, we propose and test a theory that describes nonlinear mechanical properties of a broad variety of biological and polymeric networks and gels by relating their macroscopic strain-hardening behavior with molecular parameters of the network strands. This theory provides a universal relationship between the strain-dependent network modulus and the network deformation and explains strain-hardening of natural rubber, synthetic polymeric networks, and biopolymer networks of actin, collagen, fibrin, vimentin, and neurofilaments.