A Modified Two-Relaxation Thermoelastic Model for a Thermal Shock of Rotating Infinite Medium

Abstract

A unified form of thermoelasticity theory that contains three familiar generalized thermoelasticity. The Lord–Shulman theory, Green–Lindsay theory, and the classical one can be outlined in this form. The field quantities of a rotating/non-rotating half-space with and without the effect of the decay parameter can be obtained due to the unified thermoelasticity theory. The present medium is subjected to a time-dependent thermal shock taking into account that the magnitude of the thermal shock wave is not totally fixed but decaying over time. A special case of a thermal shock waveform with constant magnitude may be considered. The field quantities such as temperature, displacements, and stresses of the present problem are analytically obtained. Some plots of these field variables are presented in two- and three-dimensional illustrations in the context of refined theories.

Transient Thermoelastic Analysis of Rectangular Plates with Time-Dependent Convection and Radiation Boundaries

“…A neural network was further trained to predict the deformation of the plates. Aljadani and Zenkour [47] presented a unified form of refined thermoelasticity theory to obtain the field quantities of a rotating/non-rotating half-space with and without the effect of the decay parameter. According to the theory of generalized thermoelasticity [48][49][50] and the memory-dependent derivative, Abouelregal et al studied the thermomechanical behaviors of a functionally graded piezoelectric rod [51] and an infinite medium [52].…”