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1 International Journal of Applied Mechanics and Engineering

1 2007

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Eigenvalue approach to generalized thermoelastic interactions in an unbounded body with spherical cavity

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Lahiri A. , Kar T. K.

International Journal of Applied Mechanics and Engineering

2007

tom Vol. 12, no 4

1027-1037

Exact expressions for the temperature distribution stress and displacement component are obtained in the Laplace transform domain in the case of an infinite medium with a spherical cavity by using the eigenvalue approach in the context of the theory of thermoelasticity with two relaxation time parameters. The surface of the spherical cavity is stress free and suddenly subjected to a thermal shock. A numerical approach is implemented for the inversion of the Laplace transform in order to obtain the solution in a physical domain. Finally numerical computations of the stress and temperature have been made and represented graphically.