Clarification of the Hashin-Shtrikman bounds on the effective elastic moduli of polycrystals with hexagonal, trigonal, and tetragonal symmetries
Journal of Applied Physics
By: J.P. Watt and L. Peselnick
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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.
| Publication type | Article |
|---|---|
| Publication Subtype | Journal Article |
| Title | Clarification of the Hashin-Shtrikman bounds on the effective elastic moduli of polycrystals with hexagonal, trigonal, and tetragonal symmetries |
| Series title | Journal of Applied Physics |
| DOI | 10.1063/1.327804 |
| Volume | 51 |
| Issue | 3 |
| Year Published | 1980 |
| Language | English |
| Larger Work Type | Article |
| Larger Work Subtype | Journal Article |
| Larger Work Title | Journal of Applied Physics |
| First page | 1525 |
| Last page | 1531 |
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