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Shock Compression of Ductile Polycrystals

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Nonlinear Elastic and Inelastic Models for Shock Compression of Crystalline Solids

Part of the book series: Shock Wave and High Pressure Phenomena ((SHOCKWAVE))

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Abstract

Modeling of shock compression of isotropic, polycrystalline elastic-plastic solids that deform by dislocation glide is undertaken. General governing equations are presented in forms referred to the thermoelastically unloaded intermediate configuration. Internal energy density of the material depends on a thermoelastic Eulerian strain tensor, entropy, and an internal state variable representative of dislocation density. Dislocation glide is incompressible, but inelastic volume changes arising from residual local strain fields and core effects of dislocations are captured. A numerical method is advanced for extracting inelastic constitutive response information from particle velocity histories of polycrystalline samples under planar shock loading. The only parameters entering the procedure are fundamental thermoelastic properties and assumed bounds on the fraction of plastic work corresponding to energy storage of generated dislocations in the lattice. Densities of statistically stored and geometrically necessary dislocations, in addition to shear stress, plastic strain, plastic strain rate, and temperature, are an outcome of the analysis. The model is implemented for polycrystalline aluminum and copper. Certain results are compared with others in the literature obtained under different kinematic and thermodynamic assumptions.

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  1. Impact Physics CCRL-WMP-C, United States Army Research Laboratory, Aberdeen, USA

    John D. Clayton

  2. University of Maryland, College Park, MD, USA

    John D. Clayton

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Clayton, J.D. (2019). Shock Compression of Ductile Polycrystals. In: Nonlinear Elastic and Inelastic Models for Shock Compression of Crystalline Solids. Shock Wave and High Pressure Phenomena. Springer, Cham. https://doi.org/10.1007/978-3-030-15330-4_8

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