The aim of the present paper is to investigate shock and rarefaction waves in a hyperbolic model of incompressible materials. To this aim, we use the so-called extended-quasi-thermal-incompressible (EQTI) model, recently proposed by Gouin & Ruggeri [H. Gouin, T. Ruggeri, Internat. J. Non Linear Mech. 47 688–693 (2012)]. In particular, we use as constitutive equation a variant of the well-known Bousinnesq approximation in which the specific volume depends not only on the temperature but also on the pressure. The limit case of ideal incompressibility, namely when the thermal expansion coefficient and the compressibility factor vanish, is also considered.
A. Mentrelli, T. Ruggeri (2013). Shock and rarefaction waves in a hyperbolic model of incompressible materials. ATTI DELLA ACCADEMIA PELORITANA DEI PERICOLANTI, CLASSE DI SCIENZE FISICHE, MATEMATICHE E NATURALI, 91(S1), A13-1-A13-16 [10.1478/AAPP.91S1A13].
Shock and rarefaction waves in a hyperbolic model of incompressible materials
MENTRELLI, ANDREA;RUGGERI, TOMMASO ANTONIO
2013
Abstract
The aim of the present paper is to investigate shock and rarefaction waves in a hyperbolic model of incompressible materials. To this aim, we use the so-called extended-quasi-thermal-incompressible (EQTI) model, recently proposed by Gouin & Ruggeri [H. Gouin, T. Ruggeri, Internat. J. Non Linear Mech. 47 688–693 (2012)]. In particular, we use as constitutive equation a variant of the well-known Bousinnesq approximation in which the specific volume depends not only on the temperature but also on the pressure. The limit case of ideal incompressibility, namely when the thermal expansion coefficient and the compressibility factor vanish, is also considered.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
