Modeling Shock Waves in Composite Materials

Abstract

An accurate extrapolation of high-pressure shock Hugoniot states to other thermodynamics states for shocked Carbon Fiber Composite (CFC) materials is presented. The proposed anisotropic equation of state (EOS) represents mathematical and physical generalization of the Mie-Grüneisen EOS for isotropic materials. A generalized decomposition for separation of material volumetric compression (compressibility effects−equation of state) from deviatoric strain effects is formulated. 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 shows that Hugoniot Stress Levels (HELs) agree with the experimental data for selected composite material.