The problem is formulated in terms of the three pairs of eigenvalues of the elasticity constants and the pair of eigenvalues of the heat conduction constants. Special attentions are given to the cases where the latter eigenvalue pair becomes equal to one or more pairs of the former group. The problem of a crack in an infinite medium is used as an example and solved exactly. This solution, however, is valid only for the case where the four pairs of eigenvalues are distinct.

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