You are being redirected because this document is part of your ASTM Compass® subscription.
    This document is part of your ASTM Compass® subscription.

    If you are an ASTM Compass Subscriber and this document is part of your subscription, you can access it for free at ASTM Compass

    Monocrystal-Polycrystal Elastic-Constant Models

    Published: 01 January 1990

      Format Pages Price  
    PDF (208K) 14 $25   ADD TO CART
    Complete Source PDF (4.0M) 229 $62   ADD TO CART

    Cite this document

    X Add email address send
      .RIS For RefWorks, EndNote, ProCite, Reference Manager, Zoteo, and many others.   .DOCX For Microsoft Word


    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.


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

    Author Information:

    Ledbetter, H
    research metallurgist, NISTNBS, Boulder, Colorado

    Committee/Subcommittee: E28.03

    DOI: 10.1520/STP24621S