Effects of Hall Current and Rotation in Modified Couple Stress Generalized Thermoelastic Half Space due to Ramp-Type Heating

Subject Areas : Engineering

R Kumar ¹ , Sh Devi ² , V Sharma ³

1 - Department of Mathematics, Kurukshetra University, Kurukshetra, India
2 - Department of Mathematics & Statistics, Himachal Pradesh University, Shimla, India
3 - Department of Mathematics & Statistics, Himachal Pradesh University, Shimla, India

Received: 2017-06-09 Accepted : 2017-08-08 Published : 2017-09-01

Keywords: Generalized thermoelasticity, Laplace and Fourier transforms, Modified couple stress, Ramp-Type heating, Hall current and magnetic effect,

Abstract :

The objective is to study the deformation in a homogeneous isotropic modified couple stress thermoelastic rotating medium in the presence of Hall current and magnetic field due to a ramp-type thermal source. The generalized theories of thermoelasticity developed by Lord Shulman (L-S, 1967) and Green Lindsay (G-L, 1972) are used to investigate the problem. Laplace and Fourier transform technique is applied to obtain the solutions of the governing equations. The displacements, stress components, temperature change and mass concentration are obtained in the transformed domain. Numerical inversion technique has been used to obtain the solutions in the physical domain. Effects of Hall current and rotation are shown in a resulting quantities. Some special cases of interest are also deduced.

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