A behavior model for porous iron containing mixtures upon shock wave loading

S. A. Kinelovskii ; K. K. Maevskii

Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 3 (2014), pp. 82-93

Résumé

Results of numerical experiments on modeling shock wave loading of solid and porous mixes and alloys containing iron in their composition as a component are presented. The model is based on the assumption that all the mixture components, including gas, are in the thermal equilibrium upon the shock wave loading. The Mie–Grüneisen type equations of state are used to describe the behavior of the condensed phases. The Grüneisen coefficient is assumed to be explicitly dependent only on temperature. This TEC model describes the behavior of solid and porous iron in a wide range of porosity and pressures. The model allows one to describe the behavior of mixtures containing iron and alloys; the alloy is considered as a nonporous mixture with the same ratio of components as in the alloy. Only the equations of state of the mixture components are used for the calculation of the shock wave effect on them. The interest in the research of materials containing iron is associated with the widespread occurrence of iron in the nature, which makes the TEC model promising for simulating the Earth's crust, as well as for solving problems of explosive power compaction to produce materials with given properties. The calculations were conducted for mixtures and alloys of different compositions containing iron. The calculation well corresponds to the data that were received based on experiments performed by many authors. It is shown that the proposed model allows one to describe the behavior of materials containing iron in the shock wave loading using only the component parameters.

Détail

Keywords: shock adiabat, porous heterogeneous medium, thermodynamic equilibrium, one-temperature approximation, one-speed approximation
Mots-clés : Grüneisen coefficient.