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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Published in | Archive of applied mechanics (1991) Vol. 84; no. 7; pp. 953 - 965 |
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Format | Journal Article |
Language | English |
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01.07.2014
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Abstract | 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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AbstractList | 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. |
Author | Omar, M. A. Allam, Allam A. Ramadan, Khaled T. |
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Cites_doi | 10.1080/01495730903018531 10.1007/s00419-011-0535-y 10.1080/01495730801978281 10.1016/j.euromechsol.2011.06.007 10.1098/rspa.1991.0012 10.1007/BF00044969 10.1016/0377-0427(84)90075-X 10.1007/s00033-009-0016-0 10.1007/s00419-011-0587-z 10.1016/j.ijengsci.2003.05.001 10.1093/qjmam/33.1.1 10.1007/BF00045689 10.1016/0022-5096(67)90024-5 10.1103/PhysRev.131.2013 10.1080/01495739.2011.586274 10.1007/s00419-011-0572-6 10.1007/BF00915613 10.1007/s00419-011-0555-7 10.1016/j.ijsolstr.2005.01.001 |
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SubjectTerms | Asymptotic properties Chemical potential Classical Mechanics Cylinders Diffusion Engineering Mathematical analysis Mathematical models Original Permeating Stress concentration Theoretical and Applied Mechanics |
Title | A thermoelastic diffusion interaction in an infinitely long annular cylinder |
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