Variational method of determining effective moduli of polycrystals with tetragonal symmetry
Journal of Applied Physics
By: R. Meister and L. Peselnick
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Abstract
Variational principles have been applied to aggregates of randomly oriented pure‐phase polycrystals having tetragonal symmetry. The bounds of the effective elastic moduli obtained in this way show a substantial improvement over the bounds obtained by means of the Voigt and Reuss assumptions. The Hill average is found to be a good approximation in most cases when compared to the bounds found from the variational method. The new bounds reduce in their limits to the Voigt and Reuss values.
| Publication type | Article |
|---|---|
| Publication Subtype | Journal Article |
| Title | Variational method of determining effective moduli of polycrystals with tetragonal symmetry |
| Series title | Journal of Applied Physics |
| DOI | 10.1063/1.1707986 |
| Volume | 37 |
| Issue | 11 |
| Year Published | 1966 |
| Language | English |
| Publisher | AIP |
| Description | 5 p. |
| First page | 4121 |
| Last page | 4125 |