Modeling of variable thermal conductivity in a generalized thermoelastic infinitely long hollow cylinder

In this work, we consider the 1D problem for an infinitely long hollow cylinder in the context of the theory of generalized thermoelasticity with one relaxation time. The material is assumed to have variable thermal conductivity depending on the temperature. Laplace transform technique is used to so...

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Bibliographic Details
Published in:Meccanica (Milan) 2016-03, Vol.51 (3), p.551-558
Main Authors: Sherief, Hany H., Hamza, Farid A.
Format: Article
Language:English
Subjects:
Automotive Engineering
Civil Engineering
Classical Mechanics
Cylinders
Fourier analysis
Heat transfer
Inverse
Laplace transforms
Mathematical models
Mechanical Engineering
Physics
Physics and Astronomy
Tables (data)
Thermal conductivity
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Summary:In this work, we consider the 1D problem for an infinitely long hollow cylinder in the context of the theory of generalized thermoelasticity with one relaxation time. The material is assumed to have variable thermal conductivity depending on the temperature. Laplace transform technique is used to solve the problem. The solution in the transformed domain is obtained by a direct approach. The inverse transforms are obtained using a numerical technique based on Fourier expansion. Numerical results are represented graphically and in table format.
ISSN:0025-6455
1572-9648
DOI:10.1007/s11012-015-0219-8