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

Commentationes mathematicae Universitatis Carolinae

Tomáš Bárta¹ 

关键词: viscoelasticity;    integrodifferential equation;    classical solution;    global existence;    implicit constitutive relations;   

DOI  :  

学科分类：物理化学和理论化学

来源: Univerzita Karlova v Praze * Matematicko-Fyzikalni Fakulta / Charles University in Prague, Faculty of Mathematics and Physics

【 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.

【 授权许可】

CC BY