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An equation of state for anisotropic solids under shock loading

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Abstract

An anisotropic equation of state is proposed for accurate extrapolation of high-pressure shock Hugoniot states to other thermodynamics states for shocked single crystals and polycrystalline alloys. The proposed equation of state represents mathematical and physical generalization of the Mie-Grüneisen equation of state for isotropic material and reduces to this equation in the limit of isotropy. Using an anisotropic nonlinear continuum framework and generalized decomposition of a stress tensor [Int. J. Plasticity 24, 140 (2008)], the shock waves propagation along arbitrary directions in anisotropic solids of any symmetry can be examined. The non-associated strength model includes the distortion effect of the yield surface which can be used to describe the anisotropic strength differential effect. A numerical calculation showed that the general pulse shape, Hugoniot Elastic Limits (HELs), and Hugoniot stress levels for aluminum alloy 7010-T6 agree with the experimental data. The results are presented and discussed, and future studies are outlined.

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  1. A. A. Lukyanov

    Present address: Abingdon Technology Centre, Schlumberger, Abingdon, OX14 1UJ, UK

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  1. Cranfield University, Cranfield, Bedfordshire, MK43 0AL, UK

    A. A. Lukyanov

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Lukyanov, A.A. An equation of state for anisotropic solids under shock loading. Eur. Phys. J. B 64, 159–164 (2008). https://doi.org/10.1140/epjb/e2008-00295-5

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  • DOI: https://doi.org/10.1140/epjb/e2008-00295-5

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