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Fracture and Flow in Brittle Solids

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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

Finite strain theories are described for brittle anisotropic single crystals and polycrystals undergoing shock compression loading, wherein inelastic deformation may arise from fracture and crack sliding, pore crushing, bulking, and stress-induced amorphization. The internal energy function depends on a logarithmic measure of thermoelastic material strain, entropy, and internal state variables accounting for defect accumulation, for example effects of micro-cracks on the tangent stiffness of the solid. Versions of the theory with pertinent mechanisms enabled are applied towards planar shock loading of single crystals of quartz and polycrystalline boron carbide ceramic. Analytical or numerical solutions to these problems provide close agreement with Hugoniot data and lend insight into the physical mechanisms responsible for strength deterioration at shock stresses exceeding the Hugoniot elastic limit.

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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). Fracture and Flow in Brittle Solids. 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_10

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