A one-dimensional thermoelastic region is modeled based on the classical and generalized coupled thermoelasticity theories, and a finite element scheme is employed to obtain the field variables directly in the space and time domains. The problem is solved for two different types of boundary conditions (BCs), and the behavior of temperature, displacement and stress waves according to these BCs and based on the classical and generalized coupled thermoelasticity theories are shown and compared with each other. Several characteristics of thermoelastic waves are examined according to this analysis, and comparison between the behavior of classical and generalized coupled thermoelasticity theories in extended period of time is made to examine the damping effects of each theory.

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