, Volume 45, Issue 4, pp 451–462 | Cite as

Magneto-thermoelastic problem in rotating non-homogeneous orthotropic hollow cylinder under the hyperbolic heat conduction model



In this paper, we proposed a model of generalized magneto-thermoelastic for orthotropic hollow cylinder whose surfaces are subjected to a thermal relaxation under the effect of rotation with one relaxation time. The system of fundamental equations is solved by using an implicit finite-difference scheme. A numerical method is used to calculate the temperature, displacement and the components of stresses with time and through the radial of the cylinder. Numerical results are given and illustrated graphically for each case considered. The results indicate that the effect of rotation, inhomogeneity and magnetic field are very pronounced. Comparison made with the results predicted by the theory of generalized magneto-thermoelasticity with one relaxation time in the absence of rotation.

Magneto-thermoelasticity Thermal relaxation Hyperbolic problems Orthotropic cylinder Rotating Implicit finite difference method 



are the components of the displacement tensor


is a reference temperature


is the thermal diffusivity


is the thermal conductivity


is the intensity


are the thermal expansion coefficients


is the constant magnetic field


is the thermal relaxation time


is dimensionless variables


is the Poisson’s ratio


is the mass density


is the uniform angular velocity


are the elastic constants


are the strain


are the stress components


is the magnetic permeability


is the Maxwell’s stress


is the time


is the Young’s modulus


is the temperature


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Copyright information

© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  1. 1.Mathematics Department, Faculty of ScienceTaif UniversityTa’ifSaudi Arabia
  2. 2.Mathematics Department, J.T.C.King Abdul Aziz UniversityJeddahSaudi Arabia

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