A thermoelastic diffusion interaction in an infinitely long annular cylinder

The present paper is aimed at studying a two-dimensional problem for an infinitely long solid conducting circular cylinder with a permeating substance in contact with its bounding surface. The problem is considered in the context of generalized thermoelastic diffusion theory with one relaxation time...

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Bibliographic Details
Published inArchive of applied mechanics (1991) Vol. 84; no. 7; pp. 953 - 965
Main Authors Allam, Allam A., Omar, M. A., Ramadan, Khaled T.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2014
Subjects
Asymptotic properties
Chemical potential
Classical Mechanics
Cylinders
Diffusion
Engineering
Mathematical analysis
Mathematical models
Original
Permeating
Stress concentration
Theoretical and Applied Mechanics
Thermoelastic diffusion
Chemical potential
Solid cylinder
Laplace transform
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Summary:The present paper is aimed at studying a two-dimensional problem for an infinitely long solid conducting circular cylinder with a permeating substance in contact with its bounding surface. The problem is considered in the context of generalized thermoelastic diffusion theory with one relaxation time. The lateral surface of the solid is traction free and subjected to known temperature and chemical potential as functions of time. The solution is obtained by a transform method and a direct approach without the customary use of potential functions. Numerical inversion of the transformed solution is carried out to obtain the temperature, displacement, stress, and concentration of the diffusive material distributions. Numerical results are represented graphically and discussed. The second sound effect and the asymptotic behavior for the solution are discussed.
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ISSN:0939-1533
1432-0681
DOI:10.1007/s00419-014-0841-2