RUS  ENG
Full version
JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive

Izv. Saratov Univ. Math. Mech. Inform., 2013 Volume 13, Issue 4(1), Pages 52–59 (Mi isu440)

This article is cited in 5 papers

Mechanics

The one-dimensional problem of unsteady-related elastic diffusion layer

A. R. Gachkevicha, A. V. Zemskovb, D. V. Tarlakovskyc

a Ya. S. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, Ukraine, 79060, L'vov, Naukova st., 3b
b Moscow Aviation Institute (State University of Aerospace Technologies), Russia, 125993, Moscow, GSP-3, A-80, Volokolamskoe Shosse, 4
c Moscow Aviation Institute (State University of Aerospace Technologies), Russia, 125993, Moscow, GSP-3, A-80, Volokolamskoe Shosse, 4

Abstract: The problem of determining the stress strain state of an elastic medium, taking into account the structural changes caused by the presence of diffusion fluxes. The influence of diffusion processes on the stress-strain state of the environment is taken into account by using the locally equilibrium model of thermoelastic diffusion, which includes the coupled system of equations of motion of an elastic body and the equations of heat and mass transfer. For solutions used decompositions of the unknown functions in Fourier series and then applying the integral Laplace transform with respect to time. We construct a fundamental solution of the problem. For examples the cases where the diffusion flux at the boundary is constant, or decays exponentially are considered.

Key words: elastic diffusion, time-dependent problems, Fourier series, Laplace transform.

UDC: 539.3

DOI: 10.18500/1816-9791-2013-13-4-52-59



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024