论文标题
各向同性非线性弹性不可压缩固体与剪切和扭转中线性有限应变响应的应变能函数
Strain energy function for isotropic non-linear elastic incompressible solids with linear finite strain response in shear and torsion
论文作者
论文摘要
我们发现各向同性不可压缩固体的应变能函数在剪切应力与剪切量之间以及扭矩和扭曲量之间的线性关系，如果遭受较大的简单剪切或扭转变形时。它包括众所周知的新霍克人和Mooney-Rivlin模型，但也可以容纳其他术语，作为主要菌株不变的某些任意功能。有效地，额外的术语可用于实验观察到的几种非线性效应，但不会被新霍克和穆尼 - 里夫林模型捕获，例如由于限制链的扩展性而引起的应变僵硬效应。
We find the strain energy function for isotropic incompressible solids exhibiting a linear relationship between shear stress and amount of shear, and between torque and amount of twist, when subject to large simple shear or torsion deformations. It is inclusive of the well-known neo-Hookean and the Mooney-Rivlin models, but also can accommodate other terms, as certain arbitrary functions of the principal strain invariants. Effectively, the extra terms can be used to account for several non-linear effects observed experimentally but not captured by the neo-Hookean and Mooney-Rivlin models, such as strain stiffening effects due to limiting chain extensibility.
