Simple waves in Prandtl-Reuss equations

被引:2
|
作者
Balashov, D.B. [1 ]
机构
[1] MoscowUSSR
关键词
First order ordinary differential equation - Linear work hardening - Plane simple waves - Prandtl Reuss equations - Prandtl Reuss isotropically work hardening medium;
D O I
10.1016/0021-8928(92)90104-G
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学科分类号
摘要
The solution of the system of equations of plane simple waves in a Prandtl-Reuss isotropically work-hardening medium is reduced in general (without any assumptions on the form of the work-hardening function and the state in front of the simple wave) to the investigation of an ordinary differential equation of the first order. In the special case of linear work-hardening, and also without work-hardening, the solution of the system of equations for plane simple waves is obtained in quadratures. The problem of an oblique shock on a prestressed half-space with arbitrary uniform constant stresses is solved for a linearly work-hardening medium.
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页码:107 / 116
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