Duality Method for Solving 3D Contact Problems with Friction

被引：0
|
作者：
Namm, R. V. [1 ]
Tsoy, G. I. [1 ]
机构：
[1] Russian Acad Sci, Comp Ctr, Far Eastern Branch, Khabarovsk 680000, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2023年 / 63卷 / 07期
基金：
俄罗斯基础研究基金会;
关键词：
elastic body; friction force; nonlinear boundary conditions; modified Lagrange functional; fixed point; ALGORITHM;
D O I：
10.1134/S0965542523070096
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The article studies a 3D contact problem with Coulomb friction for an elastic body resting on a rigid support. The solution of the quasi-variational formulation of the problem is defined as a fixed point of some mapping that associates the given force of the normal reaction of the support with the value of the normal stress in the contact zone. The fixed point is sought by the method of successive approximations, the convergence of which is proved using modified Lagrange functionals. The results of the numerical solution using finite element modeling and the proximal gradient method are presented.
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页码：1350 / 1361
页数：12
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