Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (1): 39-48 .doi: https://doi.org/10.1007/s10483-009-0105-6

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Elastodynamics of axi-symmetric deformation in magneto-micropolar generalized thermoelastic medium

Rajneesh Kumar; Rupender   

  1. Department of Mathematics, Kurukshetra University, Kurukshetra-136 119, India
  • Received:2008-04-10 Revised:2008-10-15 Online:2009-01-01 Published:2009-01-01
  • Contact: Rajneesh Kumar

Abstract: The present investigation is concerned with an axi-symmetric problem in the electromagnetic micropolar thermoelastic half-space whose surface is subjected to the mechanical or thermal source. Laplace and Hankel transform techniques are used to solve the problem. Various types of sources are taken to illustrate the utility of the approach. Integral transforms are 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 are 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). Some particular interesting cases are also deduced from the present investigation.

2010 MSC Number: 

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