an:05555364
Zbl 1160.74370
CurrĂ², C.; Sugiyama, M.; Suzumura, H.; Valenti, G.
Weak shock waves in isotropic solids at finite temperatures up to the melting point
EN
Contin. Mech. Thermodyn. 18, No. 7-8, 395-409 (2007).
0935-1175 1432-0959
2007
j
74J40 74F05 74A15
Rankine-Hugoniot condition; weak shock waves isotropic solids; thermal effects; entropy production
Summary: 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.