**Interaction due to Hall Current and Rotation in a Modified Couple Stress Elastic Half-Space due to Ramp-type Loading**

Kumar Rajneesh 1*, Devi Shaloo 2

1 Department of Mathematics, Kurukshetra University Kurukshetra

Kurukshetra, India

∗E-mail: rajneesh_kuk@rediffmail.com2 Department of Mathematics & Statistics, Himachal Pradesh University Shimla

Shimla, India

E-mail: shaloosharma2673@gmail.com

### Received:

Received: 29 April 2015; revised: 21 December 2015; accepted: 21 December 2015; published online: 29 December 2015

### DOI: 10.12921/cmst.2015.21.04.007

### Abstract:

The present investigation is to focus on the effect of Hall current and rotation in a modified couple stress theory of elastic half space due to ramp-type loading in a homogeneous, isotropic, thermoelastic diffusive medium. The mathematical formulation is prepared for different theories of thermoelastic diffusion, including the Coriolis and centrifugal forces. The Laplace and Fourier transforms techniques are applied to obtain the solutions of the governing equations. The components of

displacement, stresses, temperature change and mass concentration are obtained in the transformed domain. The numerical inversion technique has been used to obtain the solutions in the physical domain. Effects of Hall current and rotation are shown on the resulting quantities. Some particular cases are also discussed in the present problem.

### Key words:

generalized thermoelasticity, Hall current and rotation, Laplace and Fourier transforms, modified couple stress, ramp-type Loading

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