In this paper, we describe a general treatment for plane thermoelastic problems in multiply connected orthotropic bodies, and provide an example of its application to be a practical problem. In the first part of the paper, the modified Michell’s conditions are derived for the finite domain of orthotropic bodies with many holes. In the second part, the new transient thermal stress solution method is illustrated by application to an orthotropic hollow circular disk under an instantaneous point heat source.

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