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The coupled thermomechanical dynamic behavior of an inhomogeneous body is investigated for a partial case where a laminated inelastic disc is subject to forced axisymmetric vibrations and dissipative heating. The problem is solved in complete and approximate formulations. In the former case, the behavior of the material is described using generalized flow theory. In the latter case, the behavior of the material is characterized by complex moduli. The spatial distributions of the field quantities and the temperature– and amplitude–frequency characteristics of the disc are analyzed. The results are compared.