Two-dimensional Problems for Thermoelasticity, with Two Relaxation Times in Spherical Regions under Axisymmetric Distributions

Two-dimensional (2D) axisymmetric problems are considered within the context of the theory of thermoelasticity, with two relaxation times. The general solution is obtained in the Laplace transform domain by using a direct approach without the use of potential functions. The resulting formulation is...

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Published in:International journal of engineering science 1999-02, Vol.37 (3), p.299-314
Main Authors: Sherief, Hany H., Megahed, Fouad A.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Static elasticity
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
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description Two-dimensional (2D) axisymmetric problems are considered within the context of the theory of thermoelasticity, with two relaxation times. The general solution is obtained in the Laplace transform domain by using a direct approach without the use of potential functions. The resulting formulation is utilized to solve a problem for a thick spherical shell. The surface of the shell is taken as traction free and subjected to given axisymmetric temperature distributions. The inversion of the Laplace transforms are carried out using the inversion formula of the transform together with Fourier expansion techniques. Numerical solutions are obtained for the temperature, displacement and stress distributions in the physical domain. Numerical results are represented graphically.
doi_str_mv 10.1016/S0020-7225(98)00070-6
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subjects Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Static elasticity
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
title Two-dimensional Problems for Thermoelasticity, with Two Relaxation Times in Spherical Regions under Axisymmetric Distributions
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