Elastic properties of polycrystals with trigonal crystal and orthorhombic specimen symmetry
- 1 December 1986
- journal article
- research article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 60 (11) , 3868-3875
- https://doi.org/10.1063/1.337558
Abstract
Equations for evaluating the effective elastic response of a polycrystalline aggregate exhibiting trigonal crystal symmetry (point groups 3̄m or 32) and orthorhombic sample symmetry (mmm) are presented. The analysis uses the spherical harmonic representation of the orientation distribution function (ODF) to describe the texture. The aggregate elastic constants are determined through the Voigt and Reuss procedures in which the crystallites’ stiffnesses and compliances, respectively, are averaged over all orientations, weighted by the ODF. Results are given in analytic form and require only five coefficients of the ODF for the exact representation of the aggregate characteristics. An example of the application of the results is given for two different textures predicted by the fully constrained Taylor theory for a calcite polycrystal.This publication has 11 references indexed in Scilit:
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