Elastodynamics of Axi-Symmetric Deformation in Magneto-Micropolar Generalized Thermoelastic Medium

Rajneesh Kumar; Rupender

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Rajneesh Kumar, Rupender. Elastodynamics of Axi-Symmetric Deformation in Magneto-Micropolar Generalized Thermoelastic Medium[J]. Applied Mathematics and Mechanics, 2009, 30(1): 40-50.

Citation:

Rajneesh Kumar, Rupender. Elastodynamics of Axi-Symmetric Deformation in Magneto-Micropolar Generalized Thermoelastic Medium[J]. Applied Mathematics and Mechanics, 2009, 30(1): 40-50.

Citation:

Rajneesh Kumar, Rupender. Elastodynamics of Axi-Symmetric Deformation in Magneto-Micropolar Generalized Thermoelastic Medium[J]. Applied Mathematics and Mechanics, 2009, 30(1): 40-50.

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Elastodynamics of Axi-Symmetric Deformation in Magneto-Micropolar Generalized Thermoelastic Medium

Department of Mathematics, Kurukshetra University, Kurukshetra-136 119, India

Received Date: 2008-04-10
Rev Recd Date: 2008-10-15
Publish Date: 2009-01-15

Abstract

Abstract

An axi-symmetric problem in the electromagnetic micropolar thermoelastic half-space whose surface is subjected to mechanical or thermal source in a transverse magnetic field is concerned with. Laplace and Hankel transform techniques were used to solve the problem. To illustrate the application of approach, two different type of sources i. e., concentrated force and thermal source over the circular region were considered. The integral transforms were inverted by using a numerical technique to obtain the components of stresses, temperature distribution and induced electric and magnetic fields. The expressions of these quantities were illustrated graphically to depict the magnetic effect for two different generalized thermoelasticity theories, i. e., Lord and Shulman (L-S theory) and Green and Lindsay (G-L theory). A particular interesting case was also deduced.
- generalized magneto-micropolar thermoelasticity,
- axi-symmetric problem,
- mechanical and thermal sources,
- Laplace transforms,
- Hankel transforms

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References(15)

References

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