Vol. 8, No. 8-10, 2013

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ISSN: 1559-3959
A two-dimensional problem in magnetothermoelasticity with laser pulse under different boundary conditions

Sunita Deswal, Sandeep Singh Sheoran and Kapil Kumar Kalkal

Vol. 8 (2013), No. 8-10, 441–459
Abstract
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This paper is concerned with the study of vibrations induced by a laser beam in the context of generalized magnetothermoelasticity. The basic governing equations for isotropic and homogeneous elastic solids are formulated under Green–Naghdi theory in the x-z plane. The temporal profile of the laser beam is considered as non-Gaussian. The governing nondimensional equations are solved using normal mode analysis. The obtained solution is then applied to two specific problems in the half-space, where the boundary is subjected to either a mechanical or thermal load. Numerical computations are performed for a specific model to calculate the displacement, temperature, and stress fields and the results are displayed. The effects of time and magnetic field on the variation of different field quantities are analyzed in the figures.

Keywords
G-N theory, magnetic field, laser pulse, normal mode analysis
Milestones
Received: 22 March 2013
Revised: 29 May 2013
Accepted: 1 September 2013
Published: 30 December 2013
Authors
Sunita Deswal
Department of Mathematics
Guru Jambheshwar University of Science & Technology
Hisar 125001
Haryana
India
Sandeep Singh Sheoran
Department of Mathematics
Guru Jambheshwar University of Science & Technology
Hisar 125001
Haryana
India
Kapil Kumar Kalkal
Department of Mathematics
Guru Jambheshwar University of Science & Technology
Hisar 125001
Haryana
India