Hugoniot Analysis of Composite Materials

Abstract

A generalized set of conservation equations (i.e., the Hugoniot relations) across a disturbance propagating through a composite material with a steady velocity are derived within the framework of the Theory of Inter acting Continua. By providing a rational basis for comparison, the analysis clarifies the differences between the earlier studies in this field. In addition, the present development of the material interactions simplifies the Hugo niot analysis and corrects some misconceptions about the interaction terms. The materials are treated as discrete immiscible fluids with zero strength. The theory is directly applicable to homogenized mixtures or composites laminated in the direction of wave propagation. Binary mixtures have been employed to demonstrate certain aspects of the present formulation. Some numerical calculations are included which illustrate the significance of different constitutive assumptions on the nature of the interaction