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Generalized thermoelasticity of the thermal shock problem in an isotropic hollow cylinder and temperature dependent elastic moduli
Faculty
Science
Year:
2012
Type of Publication:
Article
Pages:
Authors:
Othman, Mohamed I. A, Abbas, Ibrahim A
DOI:
10.1088/1674-1056/21/1/014601
Journal:
CHINESE PHYSICS B IOP PUBLISHING LTD
Volume:
21
Research Area:
Physics
ISSN
ISI:000300258200045
Keywords :
generalized thermoelsticity, thermal shock, temperature dependent elastic moduli, finite element method
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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