Computational Representation of Constitutive Relations for Porous Material

Abstract
Porous materials are used as a protection against x-radiation because of their ability to minimize the stress generated by the radiation and to attenuate that stress as it propagates. For accurate design of this protection, wave propagation calculations are made to simulate the radiation deposition, stress generation, propagation, and spallation caused by stress waves. For such a calculation it is necessary to have a constitutive relation (stress-strain- energy relation, or equation of state) that describes the material's response to heating and to compressive and tensile loading. The objective of this report is to document a set of constitutive relations that provide for: Elastic and plastic compaction loading with rate dependence; Heating or cooling that can occur simultaneously with loading; Unloading and rate-dependent fracture; and, Melting and vaporization, with explicit treatment of solid, liquid, vapor, and mixed phases. Accompanying these relations is a user's manual that includes a derivation of the equations for the model and procedures for using it in Lagrangian wave propagation computer programs.

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