Dispersion relations for the hyperbolic thermal conductivity,thermoelasticity and thermoviscoelasticity |
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| Authors: | Evgeniy Yu. Vitokhin Elena A. Ivanova |
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| Affiliation: | 1.Department of Theoretical Mechanics,Peter the Great Saint-Petersburg Polytechnic University,St. Petersburg,Russia;2.Institute for Problems in Mechanical Engineering of Russian Academy of Sciences,St. Petersburg,Russia |
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| Abstract: | The Maxwell–Cattaneo heat conduction theory, the Lord–Shulman theory of thermoelasticity and a hyperbolic theory of thermoviscoelasticity are studied. The dispersion relations are analyzed in the case when a solution is represented in the form of an exponential function decreasing in time. Simple formulas that quite accurately approximate the dispersion curves are obtained. Based on the results of analysis of the dispersion relations, an experimental method of determination of the heat flux relaxation time is suggested. |
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