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Structural Engineering and Mechanics Volume 57, Number 1, January10 2016 , pages 91-103 DOI: https://doi.org/10.12989/sem.2016.57.1.091 |
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Effects of Hall current in a transversely isotropic magnetothermoelastic with and without energy dissipation due to normal force |
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Rajneesh Kumar, Nidhi Sharma and Parveen Lata
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| Abstract | ||
| This investigation is concerned with the disturbances in a homogeneous transversely isotropic thermoelastic rotating medium with two temperature, in the presence of the combined effects of Hall currents and magnetic field due to normal force of ramp type. The formulation is applied to the thermoelasticity theories developed by Green-Naghdi Theories of Type-II and Type-III. Laplace and Fourier transform technique is applied to solve the problem. The analytical expressions of displacements, stress components, temperature change and current density components are obtained in the transformed domain. Numerical inversion technique has been applied to obtain the results in the physical domain. Numerically simulated results are depicted graphically to show the effects of Hall current and anisotropy on the resulting quantities. Some special cases are also deduced from the present investigation. | ||
| Key Words | ||
| transversely isotropic; thermoelastic; laplace transform; fourier transform; normal force; hall current | ||
| Address | ||
| Rajneesh Kumar: Department of Mathematics, Kurukshetra University, Kurukshetra, Haryana, India Nidhi Sharma: Department of Mathematics, MM University, Mullana, Ambala, Haryana, India Parveen Lata: Department of Basic and Applied Sciences, Punjabi University, Patiala, Punjab, India | ||