Abstract
In this work, we consider the problem of magneto-thermoelastic interactions in a functionally graded material (FGM) under dual-phase-lag model in the presence of thermal shock. The generalized thermoelasticity theory with one relaxation time has been employed. The material is assumed to be elastic and functionally graded (FGM) (i. e. material with spatially varying properties). The basic equations have been written in the form of a vectormatrix differential equation in the Laplace transform domain, which is then solved by an eigenvalue approach. Numerical inversion of the transforms is carried out using the Stehfest method. Further, graphs have been drawn to show the effect of the nonhomogeneity parameter, magnetic field, and dual-phase-lag parameters on displacement, temperature, stress, and strain.