Modeling of memory-dependent derivatives in orthotropic medium with three-phase-lag model under the effect of magnetic field

Abstract

The present article deals with a two-dimensional problem of generalized thermoelasticity with memory-dependent derivatives (MDDs). The problem is considered in homogeneous orthotropic medium in the context of three-phase-lag model in the presence of a magnetic field. The matrix differential equation is formed by using Laplace and Fourier transforms into the considered equations which are solved by eigenvalue approach. The effect of magnetic field on the considered parameters is presented graphically and compared with other thermoelastic models. The effect of different time delay and kernel function on the considered parameter is also presented graphically.

Communicated by Seonho Cho.

KEYWORD:

• Memory-dependent derivatives
• orthotropic medium
• three-phase-lag model
• eigenvalue approach

Disclosure statement

There is no conflict of interests.