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Academic Discourse
Year : 2012, Volume : 1, Issue : 1
First page : ( 103) Last page : ( 114)
Print ISSN : 2278-3296.

Effect of Rotation on Porous Generalized Thermoelastic Material due to Thermomechanical Sources

Devi Savita

Assistant Professor, Department of Mathematics, N. M. Govt. College, Hansi (Haryana)

Online published on 18 June, 2014.

Abstract

The present investigation is aimed at presenting the distributions of components of displacement, stress, change in volume fraction field and temperature field in roatating porous thermoelastic medium due to thermomechanical sources, acting on the boundary. The solutions are derived by formulating a generalized thermoelasticity theories that combines both the theories developed by Lord and Shulman theory with one relaxation time(LS), Green and Lindsay theory with two relaxation times(GL). The Laplace and Fourier transforms techniques are used to obtain the solution and inverse transforms were obtained numerically. As an application, concentrated/uniformly distributed thermomechanical source has been considered to illustrate the utility of the approach. The effect of rotation and thermal relaxation parameters on the components of stress, changes in volume fraction field and temperature distribution are illustrated graphically. Particular cases of interest are also deduced from the present investigation.

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Keywords

Thermoelastic, Generalized Thermoelasticity, Rotation, Thermal Relaxation Parameters, Concentrated/uniformly Distributed Source, Integral Transforms.

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