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Chin. Phys. B, 2012, Vol. 21(1): 014601    DOI: 10.1088/1674-1056/21/1/014601
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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 Arabiab 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
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.
Keywords:  generalized thermoelsticity      thermal shock      temperature dependent elastic moduli      finite element method  
Received:  28 March 2011      Revised:  21 July 2011      Accepted manuscript online: 
PACS:  46.25.Hf (Thermoelasticity and electromagnetic elasticity (electroelasticity, magnetoelasticity))  

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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