Transient responses of a hollow cylinder under thermal and chemical shock based on generalized diffusion-thermoelasticity with memory-dependent derivative

Abstract

The accurate description of the interactions of temperature, concentration and strain fields is of great importance for the fabrication of micro/nano-electromechanical devices. This article aims to conduct an analytical study of transient responses of a hollow cylinder under thermal and chemical shock in the context of generalized diffusion–thermoelasticity with memory-dependent derivative. The outer surface of the cylinder is assumed to be traction free and subjected to transient thermal and chemical shock loadings, while its inner surface is taken to be in contact with a rigid surface and is thermally isolated. The governing equations are obtained and solved by using Laplace transformation methods. The dimensionless results of temperature, chemical potential, displacement, stress, concentration, heat flux, and diffusion flux along the radial direction of the cylinder are obtained and illustrated graphically. Parametric studies are also performed to evaluate the influences of time delay and kernel function on transient thermoelasto-diffusive responses.