Mechanodiffusion of Multicomponent Continuum under the Action of Unsteady Volume Perturbations

Abstract

A one-dimensional coupled mechanodiffusion problem is considered for a multicomponent continuum with the specified unsteady volume perturbations. Physical and mechanical processes are described using a locally equilibrium linear model of elastic diffusion. The solution is sought in the integral form. To construct the bulk Green’s functions, the Laplace transformation with respect to time is used, as well as expansions (series, integral representations) in the system of eigenfunctions of the elastic-diffusion operator. The originals of Green’s functions are found using residues and tables of operational calculus.