Author： Musii R.S.
Publisher： Springer Publishing Company
ISSN： 1068-820X
Source： Materials Science, Vol.39, Iss.1, 2003-01, pp. : 48-53
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Abstract
The basic system of differential equations for the six components of the dynamic stress tensor is deduced in a spherical coordinate system by using the equations of motion, Hooke's law, Cauchy relations, and Saint-Venant conditions of compatibility of strains. The obtained system of differential equations is reduced (without introducing additional potential functions) to a system of wave equations used for the successive evaluation of the first invariant and unknown components of the stress tensor. We also present the corresponding systems of wave equations for the axisymmetric, polar, and centrally symmetric problems of thermoelasticity.
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