论文标题
进化差异差异 - 杀菌性不平等和应用摩擦接触力学的应用良好
Well-posedness of evolutionary differential variational-hemivariational inequalities and applications to frictional contact mechanics
论文作者
论文摘要
在本文中，我们研究了一类进化变异 - 杀菌性不平等的良好性，以及在Banach空间中的非线性普通微分方程。证明基于迭代近似方案，表明该问题具有独特的温和解决方案。此外，我们建立了相对于初始数据的流图的连续性。在一般框架下，我们考虑了两种新应用，用于建模粘弹性材料的摩擦接触。在第一个应用中，我们考虑符合正常的库仑摩擦，以及在第二个正常抑制反应中。摩擦系数$μ$的结构是新的，具有地球科学中的地球物理应用的动机，依赖于外部状态变量$α$和滑移速率$ | \ dot {u}_τ| $。
In this paper, we study the well-posedness of a class of evolutionary variational-hemivariational inequalities coupled with a nonlinear ordinary differential equation in Banach spaces. The proof is based on an iterative approximation scheme showing that the problem has a unique mild solution. In addition, we established the continuity of the flow map with respect to the initial data. Under the general framework, we consider two new applications for modelling of frictional contact for viscoelastic materials. In the first application, we consider Coulomb friction with normal compliance, and in the second, normal damped response. The structure of the friction coefficient $μ$ is new with motivation from geophysical applications in earth sciences with dependence on an external state variable $α$ and the slip rate $|\dot{u}_τ|$.
