Higher Order Generalized Thermoelastic Model with Memory Responses in Nonhomogeneous Elastic Medium due to Laser Pulse

Abstract

The present article deals with the thermoelastic behavior of a nonhomogeneous isotropic material. This study is carried out in the context of an advanced thermoelastic model involving a higher order memory dependent derivative (MDD) with dual time delay terms. The thermoelastic interactions and evolved stresses into the medium are analyzed subject to external mechanical load as well as laser-type heat source. It is observed that the material moduli of the medium have a significant impact on its thermodynamic behavior. The analytical expression of the field functions is obtained in the integral transform domain. To know the nature of the field functions in the space-time domain, a discretized form of the inverse integral transformations is applied and depicted graphically for various kernel functions and empirical constants.