Title : ( Shock-induced molar concentration wave propagation and coupled non-Fick diffusion-elasticity analysis using an analytical method )
Authors: seyed amin hosseini , Mohammad Hossein Abolbashari , Seyed Mahmoud Hosseini ,
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Abstract
In this article, an analytical method for dynamic and transient analysis of coupled non-Fick diffusion–elasticity is presented. The governing equations of the problem are transferred to the frequency domain using Laplace transform technique. The unknown parameters are then obtained in the closed form using the presented analytical method. By employing the fast Laplace inverse technique (FLIT), the unknown parameters are determined in time domain. It is concluded that the presented analytical method has a high capability for wave propagation analysis in mass transfer and elastic wave propagation problems. The propagation of wave fronts for displacements and molar concentration are studied in details. It is shown that both molar concentration and elastic wave are propagated in domain with finite speeds in non-Fick theory of diffusion.
Keywords
, Non, Fick diffusion; wave propagation; molar concentration; analytical method; coupled problems
@article{paperid:1041088,
author = {Hosseini, Seyed Amin and Abolbashari, Mohammad Hossein and Hosseini, Seyed Mahmoud},
title = {Shock-induced molar concentration wave propagation and coupled non-Fick diffusion-elasticity analysis using an analytical method},
journal = {Acta Mechanica},
year = {2014},
volume = {225},
number = {12},
month = {December},
issn = {0001-5970},
pages = {3591--3599},
numpages = {8},
keywords = {Non-Fick diffusion; wave propagation; molar concentration; analytical method; coupled problems},
}
%0 Journal Article
%T Shock-induced molar concentration wave propagation and coupled non-Fick diffusion-elasticity analysis using an analytical method
%A Hosseini, Seyed Amin
%A Abolbashari, Mohammad Hossein
%A Hosseini, Seyed Mahmoud
%J Acta Mechanica
%@ 0001-5970
%D 2014
