Equations of the Dynamic Problem of Thermoelasticity in Stresses in a Three-Orthogonal Coordinate System

被引：0
作者：
R. S. Musii
H. B. Stasyuk
机构：
[1] “L’vivs’ka Politekhnika” National University,
来源：
Materials Science | 2005年 / 41卷
关键词：
Coordinate System; Structural Material; Wave Equation; Stress Tensor; Dynamic Problem;
D O I：
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学科分类号：
摘要：
By using the system of source equations including the equations of motion, Cauchy relations, generalized Hooke’s law, and Saint-Venant compatibility equations for strains, we deduce the system of defining equations for the dynamic problem of thermoelasticity in stresses in an arbitrary three-orthogonal curvilinear coordinate system. This system is reduced to a system of successively coupled wave equations in which the equation for the first invariant of the stress tensor is independent. The initial conditions are presented for the resolving functions.
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页码：74 / 81
页数：7
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