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On the Reflection of Thermoelastic Boundary Half Space with the Magnetic Field and Rotation

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In the present paper, an estimation to study effects of the relaxation times, magnetic field and rotation on the reflection of P-wave and SV-wave on the boundary of a half-space of homogeneous, isotropic thermoelastic medium taking into our consideration the boundary is stress-free as well as insulated or isothermal. GL model of generalized thermoelasticity has been applied to obtain the amplitudes of the Reflection coefficients. Lame's potentials are used in the two dimensions oxz that tend to separate the governing equations into three equations that sought in harmonic travelling form. We introduce the equations of the velocity of P-wave, T-wave and SV-wave. The boundary conditions for mechanical and Maxwell's stresses and thermal insulated or isothermal are applied to determine the reflection coefficients for P-wave, T-wave and SV wave. Some new aspects are obtained of the reflection coefficients and displayed graphically and the new conclusions are presented. Effects of relaxation times and magnetic field on the reflection of generalized thermoelastic waves are noticed and depicted graphically.
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Keywords: HALF SPACE; INSULATED SURFACE; ISOTHERMAL BOUNDARIES; MAGNETIC FIELD; P-WAVE; REFLECTION; RELAXATION TIMES; ROTATION; SV-WAVE; T-WAVE

Document Type: Research Article

Publication date: November 1, 2014

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  • Journal of Computational and Theoretical Nanoscience is an international peer-reviewed journal with a wide-ranging coverage, consolidates research activities in all aspects of computational and theoretical nanoscience into a single reference source. This journal offers scientists and engineers peer-reviewed research papers in all aspects of computational and theoretical nanoscience and nanotechnology in chemistry, physics, materials science, engineering and biology to publish original full papers and timely state-of-the-art reviews and short communications encompassing the fundamental and applied research.
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