One-dimensional model describing the non-linear viscoelastic response of materials

被引：0

作者：

Barta, Tomas ^{[1
]}

机构：

[1] Charles Univ Prague, Fac Math & Phys, Dept Math Anal, Sokolovska 83, Prague 18675 8, Czech Republic

来源：

COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE | 2014年 / 55卷 / 02期

关键词：

viscoelasticity; integrodifferential equation; classical solution; global existence; implicit constitutive relations;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider a model of a one-dimensional body where strain depends on the history of stress. We show local existence for large data and global existence for small data of classical solutions and convergence of the displacement, strain and stress to zero for time going to infinity.

引用

页码：227 / 246

页数：20

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