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

被引：5
|
作者：
Jureczka, Michal [1 ]
Ochal, Anna [1 ]
机构：
[1] Jagiellonian Univ Krakow, Fac Math & Comp Sci, Lojasiewicza 6, PL-30348 Krakow, Poland
来源：
APPLIED MATHEMATICS AND OPTIMIZATION | 2021年 / 83卷 / 03期
基金：
欧盟地平线“2020”;
关键词：
Nonmonotone friction; Optimization problem; Error estimate; Finite element method; Numerical simulations; NUMERICAL-ANALYSIS; APPROXIMATION;
D O I：
10.1007/s00245-019-09593-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页码：1465 / 1485
页数：21
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