Double poro-magneto-thermoelastic model with microtemperatures and initial stress under memory-dependent heat transfer

Abstract

The memory response of an initially stressed half-space comprising a double poro-magneto-thermoelastic material with voids and microtemperatures (DPMTMWVM) under the dual-phase-lag heat conduction law is investigated in this article. With the aid of normal mode technique, the non-dimensional equations of motion are solved to derive the theoretical expressions of the displacements, temperature, microtemperatures, void volume fractions, stresses, and heat flux moments. The impacts of magnetic field, kernel functions, and initial stress on the aforementioned distributions are demonstrated through several graphs. Moreover, the memory-dependent Lord-Shulman and dual-phase-lag thermoelasticity theories are compared graphically to exhibit the variations in the field variables. To the best of the authors’ knowledge, the memory response of a double poro-magneto-thermoelastic half-space with voids and microtemperatures is not analyzed so far. Therefore, DPMTMWVM under memory-dependent dual-phase-lag theory is considered in this study.

Keywords:

• Double poro-magneto-thermoelastic material with voids
• dual-phase-lag thermoelasticity
• initial stress
• memory-dependent derivative
• microtemperatures

Acknowledgments

Authors are sincerely grateful to Indian Institute of Technology (Indian School of Mines) Dhanbad, India for providing great opportunity, guidance, best facilities and equipments.

Disclosure statement

On behalf of all authors, the corresponding author states that there is no conflict of interest.