论文标题
在新的非线性弹性体中，应力和应变状态与缺口相邻
The state of stress and strain adjacent to notches in a new class of nonlinear elastic bodies
论文作者
论文摘要
在本文中，我们研究了在新的弹性模型的背景下，具有凹口的身体的变形。这些模型将弹性体的本构响应函数的近似值变为，该弹性体是在应力和变形梯度之间隐式构成关系中定义的。牙龈金属和许多金属合金通过这种构成关系很好地描述了。我们考虑在线性菌株的构成关系中，在伸展运动的构成关系的背景下，具有平滑V型智能的身体的反平面应力状态。该问题是通过数值解决的，并研究了溶液的稳定性。
In this paper we study the deformation of a body with a notch subject to an anti-plane state of stress within the context of a new class of elastic models. These models stem as approximations of constitutive response functions for an elastic body that is defined within the context of an implicit constitutive relation between the stress and the deformation gradient. Gum metal and many metallic alloys are described well by such constitutive relations. We consider the state of anti-plane stress of a body with a smoothened V-notch within the context of constitutive relations for the linearized strain in terms of a power-law for the stretch. The problem is solved numerically and the convergence and the stability of the solution is studied.
