Propagation of discontinuities in electromagneto generalized thermoelasticity in cylindrical regions |
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Authors: | Hany H Sherief S E Khader |
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Institution: | 1. Department of Mathematics, Faculty of Science, University of Alexandria, Alexandria, Egypt 2. Department of Mathematical and Theoretical Physics, Atomic Energy Authority, Cairo, Egypt
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Abstract: | In this work we study wave propagation for a problem of an infinitely long solid conducting circular cylinder whose lateral surface is traction free and subjected to known surrounding temperatures in the presence of a uniform magnetic field in the direction of the axis. The problem is in the context of generalized magneto-thermo-elasticity theory with one relaxation time. Laplace transform techniques are used to derive the solution in the Laplace transform domain. The inversion process is carried out using a numerical method based on Fourier series expansions. Wave propagation in the elastic medium and in the free space, bounding it, is investigated. |
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