Clarification of the Hashin-Shtrikman bounds on the effective elastic moduli of polycrystals with hexagonal, trigonal, and tetragonal symmetries
- 1 March 1980
- journal article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 51 (3) , 1525-1531
- https://doi.org/10.1063/1.327804
Abstract
Bounds on the effective elastic moduli of randomly oriented aggregates of hexagonal, trigonal, and tetragonal crystals are derived using the variational principles of Hashin and Shtrikman. The bounds are considerably narrower than the widely used Voigt and Reuss bounds. The Voigt‐Reuss‐Hill average lies within the Hashin‐Shtrikman bounds in nearly all cases. Previous bounds of Peselnick and Meister are shown to be special cases of the present results.This publication has 13 references indexed in Scilit:
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