Effects of memory dependent heat transfer on the Rayleigh wave propagation in non-local micropolar thermoelastic medium

Abstract

Abstract This paper presents the problem of Rayleigh wave propagation in a non-local micropolar thermoelastic material within the framework of memory-dependent heat conduction and Eringen's non-local theory of elasticity. The memory-dependent derivative in the heat conduction equation makes it possible to describe the memory effects on the current temperature field from the previous temperature state with a time delay parameter and is characterized by different kernel functions over the slipping interval. The secular equation of Rayleigh waves, describing the dependence of Rayleigh wave speed on the time delay parameter and non-local parameter, is obtained analytically under stress-free and thermally insulated/isothermal boundary conditions. In a particular case, the secular equation obtained is in agreement with previously published results. To analyze the effects of key factors such as the non-local parameter, delay parameter, and kernel functions on Rayleigh wave speed, numerical computations have been performed by considering the relevant parameters of an aluminum-epoxy composite material and depicted graphically. The graphical analysis shows that there are significant effects of non-locality in the material and memory-dependent heat transfer on the Rayleigh wave speed.