Magneto-photo-thermoelastic interaction in a slim strip characterized by hereditary features with two relaxation times

Abstract

This paper is devoted to studying the photo-thermoelastic response of homogeneous and isotropic finite thin slim strip that is exposed to a moving heat source, where both the ends are fixed. The novel thermo-viscoelastic theory is associated with the nonsingular relaxation kernel “Mittag-Leffler relaxation function”. In the context of memory-dependent Moore–Gibson–Thompson (MGT) theory, the heat transport law is framed. Solutions of all the significant physical fields such as the displacement, carrier density, temperature, and thermal stress are evaluated in their dimensionless form in the Laplace transform domain. The distribution of the physical fields are found numerically in the real space-time domain implementing the Riemann-sum approximation technique. From the computational results and the corresponding graphical representations, significant effect of the effective parameters such as the nonlocality parameter, time-delay parameter has been reported. Also, significant effect for different choice of kernel function is indicated. Moreover, it is also proposed how a nonlinear kernel function is more superior compared to linear kernel in context of this new theory.