论文标题
在约束和预言下的弹性理论方法
A group theoretical approach to elasticity under constraints and predeformations
论文作者
论文摘要
在描述非线性弹性中，尊重变形的约束和预性构成了重大挑战。我们在这里概述了群体理论如何发挥有益的作用来克服这一挑战。具体而言，群体理论指导我们对非线性剪切层的非线性剪切变形梯度和非线性弹性模量的表达进行了广义定义。特别是，在约束下更大的变形和预性范围内的其他变形的背景下，此类成就变得很重要。
Respecting deformational constraints and predeformations poses a substantial challenge in the description of nonlinear elasticity. We here outline how group theory can play a beneficial role to overcome this challenge. Specifically, group theory guides us to generalized definitions of nonlinear shear deformation gradients and expressions of generalized elastic moduli in the nonlinear regime. Particularly, such achievements become important in the context of larger deformations under constraints and additional deformations on top of predeformations.
