Weak shock waves in isotropic solids at finite temperatures up to the melting point |
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Authors: | C Currò M Sugiyama H Suzumura G Valenti |
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Institution: | (1) Department of Mathematics, University of Messina, Contrada Papardo, Salita Sperone 31, 98166, Sant’Agata, Messina, Italy;(2) Graduate School of Engineering, Nagoya Institute of Technology, Showa-ku, Nagoya 466-8555, Japan |
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Abstract: | Propagation speeds and Rankine–Hugoniot relations for weak shock waves in isotropic solids are derived analytically in order
to elucidate mechanical and thermal properties of the waves. In the analysis, we adopt a new continuum model for the solids,
which takes into account explicitly microscopic thermal vibration of the constituent atoms. As the model is valid in a wide
temperature range up to the melting point, we can discuss the relations at high temperatures even near the melting point.
Typical numerical results are also shown and discussed as illustrations.
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Keywords: | Rankine– Hugoniot condition Weak shock waves Isotropic solids Thermal effects Entropy production |
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