An equation of state for anisotropic solids under shock loading |
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Authors: | A A Lukyanov |
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Institution: | (1) Cranfield University, Cranfield, Bedfordshire, MK43 0AL, UK;(2) Present address: Abingdon Technology Centre, Schlumberger, Abingdon, OX14 1UJ, UK |
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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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Keywords: | PACS" target="_blank">PACS 62 50 Ef Shock wave effects in solids and liquids 62 20 fq Plasticity and superplasticity 47 40 Nm Shock wave interactions and shock effects |
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