A Nonsmooth Optimization Approach for Hemivariational Inequalities with Applications to Contact Mechanics

被引：0
作者：
Michal Jureczka
Anna Ochal
机构：
[1] Jagiellonian University in Krakow,Faculty of Mathematics and Computer Science
来源：
Applied Mathematics & Optimization | 2021年 / 83卷
关键词：
Nonmonotone friction; Optimization problem; Error estimate; Finite element method; Numerical simulations; 35Q74; 49J40; 65K10; 65M60; 74S05; 74M15; 74M10; 74G15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we introduce an abstract nonsmooth optimization problem and prove existence and uniqueness of its solution. We present a numerical scheme to approximate this solution. The theory is later applied to a sample static contact problem describing an elastic body in frictional contact with a foundation. This contact is governed by a nonmonotone friction law with dependence on normal and tangential components of displacement. Finally, computational simulations are performed to illustrate obtained results.
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页码：1465 / 1485
页数：20
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