Abstract

The paper is dedicated to the construction of a computational algorithm for the investigation of solids, taking into account the material and geometric nonlinearity and contact interaction. In the framework of the previously developed algorithm for the investigation of large elastoplastic deformations of solids the solutions of contact problems are derived. The algorithm has been based on the equation of the principle of virtual work in velocity terms. Contact interaction is modeled over the basis of the master-slave approach with penalty method. The closest point projection procedure is used to find the contact area. For the solution of the nonlinear system of equations incremental method is applied. The numerical implementation is based on the finite element method.

中文翻译：

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用于研究具有接触相互作用的大型弹塑性变形的计算算法

摘要

该论文致力于构建用于研究固体的计算算法，同时考虑到材料和几何非线性以及接触相互作用。在先前开发的用于研究固体大弹塑性变形的算法的框架中，导出了接触问题的解决方案。该算法基于速度方面的虚功原理方程。接触交互是在主从方法和惩罚方法的基础上建模的。最近点投影程序用于找到接触区域。对于非线性方程组的求解，采用增量法。数值实现基于有限元方法。