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Creep and plasticity of hexagonal polycrystals as related to single crystal slip

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Abstract

The role of slip on basal, prismatic and pyramidal systems of hexagonal single crystals in determining inelastic polycrystalline behavior is studied using a uniform strain-rate upper bound and a self-consistent method. Steady power-law creep is considered. Included as a limiting case is rigid-perfectly plastic behavior, for which the upper bound to the yield stress of the polycrystal coincides with the Bishop-Hill bound for these materials. When the resolved shear stress needed to produce a given level of slip on the pyramidal systems is large compared to that on the other systems the upper bound lies well above the self-consistent estimate. Scif-consistent theory indicates that overall inelastic deformation of a polycrystal is possible without pyramidal slip. Implications for hexagonal materials, including ice, are discussed.

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Authors and Affiliations

  1. Harvard University, 02138, Cambridge, MA

    J. W. Hutchinson (Professor of Applied Mechanics)

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  1. J. W. Hutchinson
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Hutchinson, J.W. Creep and plasticity of hexagonal polycrystals as related to single crystal slip. Metall Trans A 8, 1465–1469 (1977). https://doi.org/10.1007/BF02642860

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  • DOI: https://doi.org/10.1007/BF02642860

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