Thermo-elastic interaction without energy dissipation in an infinite solid with distributed periodically varying heat sources |
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| Institution: | 1. Postdoctoral Fellow, Department of Civil and Environmental Engineering, University of Nevada, Reno, NV 89557, United States;2. Structural Analyst, Advanced Technology and Research, Arup, San Francisco, CA 94105, United States;3. Professor, Dean of College of Engineering, University of Nevada, Reno, NV 89557, United States;1. Department of Metallurgical Engineering, University of Concepción, PO Box 160-C, Correo 3, Concepción, Chile;2. Chemical Engineering Department and Surface Analysis Laboratory (ASIF), University of Concepción, PO Box 160-C, Correo 3, Concepción, Chile;3. Csiro-Chile International Center of Excellence, 2827 Apoquindo Street, 12th floor, Las Condes, Santiago, Chile;4. Particulate Fluids Processing Centre, Department of Chemical and Biomolecular Engineering, The University of Melbourne, Victoria, 3010, Australia;1. Institut für Mathematik, Martin-Luther-Universität Halle-Wittenberg, Postfach, D-06099 Halle, Germany;2. CEMAT, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, 1049-001 Lisboa, Portugal |
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| Abstract: | The paper deals with the thermo-elastic interactions due to distributed periodically varying heat sources in a homogeneous, isotropic, unbounded elastic medium in the context of the theory of thermo-elasticity without energy dissipation. Closed form solutions for displacement, temperature, stress and strain are derived by using Laplace transform on time and then Fourier transform on space. It reveals that the interactions consist of two coupled modified dilatational and thermal waves modified by finite thermal wave speed and thermo-elastic coupling traveling with finite speeds and without attenuation. The results are compared with previous results derived by using other generalized thermo-elasticity theories. Numerical results for a hypothetical material are presented. |
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