Discretization of a nonlinear dynamic thermoviscoelastic Timoshenko beam model

被引：26

作者：

Bernardi, Christine ^{[1
,2
]}

Copetti, Maria Ines M. ^{[3
]}

机构：

[1] CNRS, Lab Jacques Louis Lions, BC 187,4 Pl Jussieu, F-75252 Paris 05, France

[2] Univ Paris 06, BC 187,4 Pl Jussieu, F-75252 Paris 05, France

[3] Univ Fed Santa Maria, Dept Matemat, LANA, BR-97105900 Santa Maria, RS, Brazil

来源：

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2017年 / 97卷 / 05期

关键词：

Beam model; finite element discretization; NUMERICAL-METHOD; CONTACT PROBLEM; EXISTENCE; SYSTEM;

D O I：

10.1002/zamm.201500193

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a nonlinear model for a thermoelastic beam that can enter in contact with obstacles. We first prove the well-posedness of this problem. Next, we propose a discretization by Euler and Crank-Nicolson schemes in time and finite elements in space and perform the a priori analysis of the discrete problem. Some numerical experiments are presented. (C) 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：532 / 549

页数：18

共 20 条

[1] A VISCOELASTIC TIMOSHENKO BEAM WITH DYNAMIC FRICTIONLESS IMPACT [J].