Generalized Thermoelastic Functionally Graded Spherically Isotropic Solid Containing a Spherical Cavity Under Thermal Shock

M. K. Ghosh; M. Kanoria

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M. K. Ghosh, M. Kanoria. Generalized Thermoelastic Functionally Graded Spherically Isotropic Solid Containing a Spherical Cavity Under Thermal Shock[J]. Applied Mathematics and Mechanics, 2008, 29(10): 1147-1160.

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Generalized Thermoelastic Functionally Graded Spherically Isotropic Solid Containing a Spherical Cavity Under Thermal Shock

M. K. Ghosh¹,
M. Kanoria²

1.
Department of Mathematics, Serampore College, Serampore, Hooghly-712 201, India;

Received Date: 2008-02-13
Rev Recd Date: 2008-06-30
Publish Date: 2008-10-15

Abstract

Abstract

The determination of thermoelastic displacement,stresses and temperature in a functionally graded spherically isotropic infinite elastic medium having a spherical cavity in the context of the linear theory of generalized thermoelasticity with two relaxation time parameters(Green and Lind-say theory)are concerned with.The surface of the cavity is stress free and is subjected to a time dependent thermal shock.The basic equations were written in the form of a vecto-rmatrix differential equation in the Laplace transform domain which was then solved by eigenvalue approach.The numerical inversion of the transforms was carried out using Bellman method.The displacement,stresses and temperature were computed and presented graphically.It is found that the variation of thermo-physical properties of a material strongly influences the response to loading.A comparative study with the corresponding homogeneous material has also been made.
- generalized thermoelasticity,
- functionally graded material(FGM),
- Green-Lindsay theory,
- vector-matrix differential equation,
- Bellman method

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References(36)

References

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