Magneto-thermoelastic interaction with memory response due to laser pulse under Green-Naghdi theory in an orthotropic medium

Abstract

This article is carried out with the Green-Naghdi theory of thermoelasticity with memory-dependent derivative to study the effects of a magnetic field and laser pulse in a generalized thermoelastic orthotropic elastic medium. Utilizing Laplace and Fourier integral transform to solve the problem analytically, the fundamental equations of the two-dimensional problem are expressed as a vector-matrix differential form, which is then solved by the eigen function expansion method. A numerical technique is utilized for the inversion process of Fourier and Laplace transforms. For different kernel functions, time delay, the effect of the magnetic field, and laser pulse, the variations of the stress distributions, displacement, and temperature are expressed graphically. The consequences of the current model are compared with the existing thermoelastic models. Significant capability is demonstrated due to the presence of the magnetic field, laser pulse, as well as memory-dependent derivative.

Keywords:

• Green-Naghdi theory
• memory-dependent derivative (MDD)
• Laplace and Fourier transform
• laser pulse
• magneto-thermoelasticity