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.
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页码：179 / 189
页数：11
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