Abstract

This paper is concerned with a theoretical treatment of axisymmetrical coupled thermal stress problems for a transversely isotropic material. In order to separate the thermal and thermoelastic fundamental differential equations for the transversely isotropic body, we have introduced a perturbation technique for temperature and thermoelastic fields. Taking advantage of this technique proposed in this paper, we can obtain the coupled thermoelastic solutions for the first approximation automatically using the temperature solution for the first approximation. As an example, we have analyzed the axisymmetric problem of an infinitely long solid cylinder, and then, carried out numerical calculations for several values of thermal and thermoelastic orthotropic parameters. These effects on the temperature and the associated stress distributions are examined.

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