Higher-order fractional and memory response in nonlocal double poro-magneto-thermoelastic medium with temperature-dependent properties excited by laser pulse
Shishir Gupta, Soumik Das, Rachaita Dutta, Arun Kumar Verma
Abstract
The present study intends to analyze the transient phenomena in a one-dimensional half-space consisting of nonlocal double poro-magneto-thermoelastic material with voids (DPMTMWV) influenced by non-Gaussian laser pulse heating subjected to temperature-dependent material properties. The higher-order Taylor’s series expansion of Fourier’s law including fractional and memory-dependent derivatives with dual-phase-lags are employed. The analytical expressions of the field variables are derived with the help of Laplace transform and numerical inversions via Zakian’s algorithm. The impacts of magnetic field, laser pulse, nonlocality parameter, and temperature-dependent properties are graphically implemented with respect to the comparative observation between fractional and memory responses. Moreover, three different generalized thermoelastic models are compared to exhibit the nature of the field variables.