Abstract

This paper deals with the one-dimensional generalized thermoelasticity in a homogeneous isotropic infinite thin plate exhibiting an inelastic behavior, when a damping effect is taken into account. The plate is initially at zero temperature and subjected to a ramp heating on the top surface. The governing equations for the temperature change, heat flux, particle velocity and axial stress are expressed by a set of first-order partial differential equations. This system of equations has been numerically analyzed by employing the method of characteristics. Finally, the effects of the damping coefficient on time histories of the axial stress and temperature change are illustrated graphically.

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