Numerical analysis of a non-clamped dynamic thermoviscoelastic contact problem

被引：0
作者：
Bartman, Piotr [1 ]
Bartosz, Krzysztof [1 ]
Jureczka, Michal [1 ]
Szafraniec, Pawel [1 ]
机构：
[1] Jagiellonian Univ, Fac Math & Comp Sci, Ul Lojasiewicza 6, PL-30348 Krakow, Poland
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2023年 / 73卷
基金：
欧盟地平线“2020”;
关键词：
Non-clamped contact; Thermoviscoelastic material; Non-monotone friction law; Finite element method; Error estimate; Numerical simulations; NONMONOTONE FRICTION; SIGNORINI PROBLEM; COULOMB-FRICTION; DISCRETIZATION;
D O I：
10.1016/j.nonrwa.2023.103870
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
\\In this work, we analyze a non-clamped dynamic viscoelastic contact problem involving thermal effect. The friction law is described by a non-monotone relation between the tangential stress and the tangential velocity. This leads to a system of second-order inclusion for displacement and a parabolic equation for temperature. We provide a fully discrete approximation of the problem and find optimal error estimates without any smallness assumption on the data. The theoretical result is illustrated by numerical simulations. (c) 2023 Elsevier Ltd. All rights reserved.
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页数：20
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