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Generalized thermoelsticity of the thermal shock problem in an isotropic hollow cylinder and temperature dependent elastic moduli |
| Ibrahim A. Abbasa)b) and Mohamed I. A. Othmanc)† |
| a Department of Mathematics, Faculty of Science and Arts - Khulais, King AbdulAziz University, Jeddah, Saudi Arabia; b Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt; c Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt |
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Abstract In this paper, we construct the equations of generalized thermoelasicity for a non-homogeneous isotropic hollow cylider with a variable modulus of elasticity and thermal conductivity based on the Lord and Shulman theory. The problem has been solved numerically using the finite element method. Numerical results for the displacement, the temperature, the radial stress, and the hoop stress distributions are illustrated graphically. Comparisons are made between the results predicted by the coupled theory and by the theory of generalized thermoelasticity with one relaxation time in the cases of temperature dependent and independent modulus of elasticity.
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Received: 28 March 2011
Revised: 21 July 2011
Accepted manuscript online:
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PACS:
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46.25.Hf
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(Thermoelasticity and electromagnetic elasticity (electroelasticity, magnetoelasticity))
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Cite this article:
Ibrahim A. Abbas and Mohamed I. A. Othman Generalized thermoelsticity of the thermal shock problem in an isotropic hollow cylinder and temperature dependent elastic moduli 2012 Chin. Phys. B 21 014601
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