Mechanics

Modelling shock waves in composite materials

A. A. Lukyanov

Abingdon Technology Centre, Research and Development, Schlumberger, United Kingdom, Lipetsk, 398059, Russia

Abstract: An accurate extrapolation of high-pressure shock Hugoniot states to other thermodynamics states for shocked Carbon Fibre Composite (CFC) materials is presented. The proposed anisotropic equation of state represents mathematical and physical generalization of the Mie-Grüneisen equation of state for isotropic material and reduces to this equation in the limit of isotropy. Using an anisotropic nonlinear continuum framework and generalized decomposition of a stress tensor, the shock waves propagation in CFC materials is examined. A numerical calculation showed that Hugoniot Stress Levels (HELs) agree with the experimental data for selected CFC material. The results are presented and discussed, and future studies are outlined.

Keywords: composite structures, shock wave, modelling, stress decomposition, equation of state, impact.

UDC: 539.3

Received: 04.12.2009
Revised: 04.12.2009