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In this paper the general axisymmetric and plane strain problems in generalized theories of thermoelasticity have been investigated by employing the eigenvalue approach after applying the Laplace and the Hankel transforms technique. Examples of an infinite space and a half space have been presented in order to illustrate the application of the approach. The results for the coupled thermoelasticity can be obtained as particular cases of the obtained results by setting thermal relaxation times equal to zero. The obtained results can be used for a broad class of problems in generalized thermoelasticity.
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