STP1045: Monocrystal-Polycrystal Elastic-Constant Models

    Ledbetter, H
    research metallurgist, NISTNBS, Boulder, Colorado

    Pages: 14    Published: Jan 1990


    Abstract

    Considering only cubic symmetry (three independent monocrystal elastic-stiffness coefficients, Cij), we review various models for converting the Cij to the effective macroscopic quasiisotropic and homogeneous elastic constants, usually taken as B, the bulk modulus, and G, the shear modulus. To test the models, we consider a typical metal: copper, which possesses a moderate Zener elastic-anisotropy ratio, 3.19, and which was measured by pulse-echo dynamic (MHz) methods. We find that the Hershey-Kröner-Eshelby, and equivalent, models work best. We ignore models that lack a physical basis. Using the H-K-E model, we calculate the effective polycrystalline elastic constants of twenty-five cubic elements.

    Keywords:

    bulk modulus, elastic constants, monocrystal-polycrystal relationships, physical properties, Poisson ratio, shear modulus, Young modulus


    Paper ID: STP24621S

    Committee/Subcommittee: E28.03

    DOI: 10.1520/STP24621S


    CrossRef ASTM International is a member of CrossRef.