SEDL / STP / STP1045-EB / STP24621S

Monocrystal-Polycrystal Elastic-Constant Models

Ledbetter, H
research metallurgist, NISTNBS, Boulder, Colorado

Pages: 14    Published: Jan 1990

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Abstract

Considering only cubic symmetry (three independent monocrystal elastic-stiffness coefficients, C^ij), we review various models for converting the C^ij 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.