Thermomechanical Interactions Due to Hall Current in Transversely Isotropic Thermoelastic with and Without Energy Dissipation with Two Temperatures and Rotation

Journal of Solid Mechanics

مقاله 12، دوره 8، شماره 4، اسفند 2016، صفحه 840-858   

نوع مقاله: Research Paper

نویسندگان

R Kumar¹؛ N Sharma²؛ P Lata^{* 3}

¹Department of Mathematics, Kurukshetra University , Kurukshetra, Haryana, India

²Department of Mathematics, MM University, Mullana, Ambala, Haryana, India

³Department of Basic and Applied Sciences, Punjabi University, Patiala, Punjab, India

چکیده

The present paper is concerned with  the investigation of disturbances in a homogeneous  transversely isotropic thermoelastic rotating  medium with two temperatures, in the presence of the combined effects of   Hall currents and magnetic field due to thermomechanical sources. 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. As an application, the bounding surface is subjected to concentrated and distributed sources    (mechanical and thermal sources). The analytical expressions of displacement, 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. Numerical simulated results are depicted graphically to show a comparison of effect of Hall current on the two theories GN-II and GN-III on resulting quantities. Some special cases are also deduced from the present investigation.

کلیدواژه‌ها

Transversely isotropic thermoelastic؛ Laplace and fourier transform؛ Concentrated and distributed sources؛ Rotation؛ Hall current

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