Transient response of multilayered hollow cylinder using various theories of generalized thermoelasticity

Daoud S. Mashat, Ashraf M. Zenkour, Khaled A. Elsibai

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DOI: 10.4236/ns.2010.210145                

Abstract

The present paper deals with thermoelastic problems of finitely long hollow cylinder com-posed of two different materials with axial sym- metry. The medium is traction-free, with neglig-ible body forces and with internal and external heat generations. The governing equations for different theories of the generalized thermoe-lasticity are written in terms of displacement and temperature increment. The exact solution of the problem; using different theories of generalized thermoelasticity; has been deduced. The analytical expressions for displacements, temperature and stresses are found in final forms, and a numerical example has been taken to discuss the effect of the relaxation times. Finally, the results have been illustrated graphi- cally to find the responses of different theories.

Keywords

Multilayered Hollow Cylinder; Generalized Theories of Thermoelasticity; Relaxation Times

Conflicts of Interest

The authors declare no conflicts of interest.

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