A novel magneto-thermoelasticity theory with memory-dependent derivative

Abstract

In this work, a new model of magneto-thermoelasticity theory has been constructed in the context of a new consideration of heat conduction with memory-dependent derivative. One-dimensional application for a perfect electrically conducting half-space of elastic material, which is thermally shocked, in the presence of a constant magnetic field has been solved by using Laplace transform technique. According to the numerical results and its graphs, conclusion about the new theory of magneto-thermoelasticity has been constructed and compared with dynamic classical coupled theory.

Keywords:

• Fourier’s Law
• magneto-thermoelasticity theory
• memory-dependent derivative
• time-delay
• kernel function
• Laplace transforms

Disclosure statement

No potential conflict of interest was reported by the authors.