A Self-similar Wave Problem in a Prandtl-Reuss Elastoplastic Medium

被引：4

作者：

Kulikovskii, A. G. ^{[1
]}

Chugainova, A. P. ^{[1
]}

机构：

[1] Russian Acad Sci, Steklov Math Inst, ul Gubkina 8, Moscow 119991, Russia

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2016年 / 295卷 / 01期

基金：

俄罗斯科学基金会;

关键词：

D O I：

10.1134/S0081543816080113

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a self-similar piston problem in which stresses on the boundary of a half-space are changed instantaneously. The half-space is filled with a Prandtl-Reuss medium in a uniform stressed state. It is assumed that the formation of shock waves is possible in the medium. We prove the existence of a solution to the problem in the cases when two or all three stress components are changed at the initial moment.

引用

页码：179 / 189

页数：11

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