Scientia Iranica, ( ISI ), Volume (25), No (4), Year (2018-8) , Pages (2077-2086)

Title : ( Analytical solution for coupled non-Fickian diffusion-thermoelasticity and thermoelastic wave propagation analysis )

Authors: seyed amin hosseini , Seyed Mahmoud Hosseini , Mohammad Hossein Abolbashari ,

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Abstract

The time history analysis and propagation of molar concentration, temperature and displacement waves are studied in details using an analytical method. The method is applied to coupled non-Fickian diffusion-thermoelasticity analysis of a strip. The governing equations are derived using non-Fickian theory of diffusion and classic theories for coupled thermoelasticity. Molar concentration and thermoelastic wave propagations are considered to be of finite speed. The governing equations are first transferred to the frequency domain using Laplace transform technique. The unknown parameters are then obtained in analytical forms proposed by the presented method. By employing the Talbot technique, the unknown parameters are eventually determined in time domain. It can be concluded that the presented analytical method has a high capability for dynamic and transient analysis of coupled diffusion-thermoelasticity problems. The wave fronts in displacement, temperature and molar concentration fields can be tracked at various time instants employing the presented analytical method.

Keywords

, Non, Fickian diffusion; wave propagation; molar concentration; temperature; analytical method; coupled problems
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@article{paperid:1063456,
author = {Hosseini, Seyed Amin and Hosseini, Seyed Mahmoud and Abolbashari, Mohammad Hossein},
title = {Analytical solution for coupled non-Fickian diffusion-thermoelasticity and thermoelastic wave propagation analysis},
journal = {Scientia Iranica},
year = {2018},
volume = {25},
number = {4},
month = {August},
issn = {1026-3098},
pages = {2077--2086},
numpages = {9},
keywords = {Non-Fickian diffusion; wave propagation; molar concentration; temperature; analytical method; coupled problems},
}

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%0 Journal Article
%T Analytical solution for coupled non-Fickian diffusion-thermoelasticity and thermoelastic wave propagation analysis
%A Hosseini, Seyed Amin
%A Hosseini, Seyed Mahmoud
%A Abolbashari, Mohammad Hossein
%J Scientia Iranica
%@ 1026-3098
%D 2018

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