Two-Dimensional Interactions Due to Moving Load in Generalized Thermoelastic Solid With Diffusion

Sunita Deswal; Suman Choudhary

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Sunita Deswal, Suman Choudhary. Two-Dimensional Interactions Due to Moving Load in Generalized Thermoelastic Solid With Diffusion[J]. Applied Mathematics and Mechanics, 2008, 29(2): 188-202.

Citation:

Sunita Deswal, Suman Choudhary. Two-Dimensional Interactions Due to Moving Load in Generalized Thermoelastic Solid With Diffusion[J]. Applied Mathematics and Mechanics, 2008, 29(2): 188-202.

Citation:

Sunita Deswal, Suman Choudhary. Two-Dimensional Interactions Due to Moving Load in Generalized Thermoelastic Solid With Diffusion[J]. Applied Mathematics and Mechanics, 2008, 29(2): 188-202.

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Two-Dimensional Interactions Due to Moving Load in Generalized Thermoelastic Solid With Diffusion

Sunita Deswal¹,
Suman Choudhary²

1.
Department of Mathematics, Guru Jambheshwar University of Science and Technology, Hisar 125001, Haryana, India;

Received Date: 2007-06-04
Rev Recd Date: 2007-11-09
Publish Date: 2008-02-15

Abstract

Abstract

Disturbances in a homogeneous,isotropic elastic medium with generalized thermoelastic diffusion,when a moving source is acting along one of the co-ordinate axis on the boundary of the medium,are investigated.Eigen value approach was applied to study the disturbance in Laplace-Fourier transform domain for a two dimensional problem.The analytical expressions for displacement components,stresses,temperature field,concentration and chemical potential were obtained in the physical domain by using a numerical technique for the inversion of Laplace transform based on Fourier expansion techniques.These expressions were calculated numerically for a copper like material and depicted graphically.As special cases,the results in generalized thermoelastic and elastic media were obtained to depict the diffusion and thermal effects in the medium theoretically and numerically.
- eigen value approach,
- vector matrix differential equation,
- thermoelastic diffusion,
- generalized thermoelasticity,
- moving load,
- Laplace and Fourier transforms

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References(25)

References

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