An analytic model for the shock Hugoniot in porous materials

Abstract
A simplified analytic model for the Shock Hugoniot in porous materials is developed. The model is most accurate in the limits in which the pressure is dominated by either the elasticity (low pressure) or by the thermal motion (high pressure). The compressed density is expressed as a function of the pressure, the initial solidity and density of the material, the cold compression coefficient (Young’s Modulus)−1, and the Grüneisen coefficient. The model is validated over a wide range of materials, pressures, and solidities.

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