Variational method of determining effective moduli of polycrystals: (A) hexagonal symmetry, (B) trigonal symmetry
Journal of Applied Physics
By: L. Peselnick and R. Meister
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Abstract
Variational principles of anisotropic elasticity have been applied to aggregates of randomly oriented pure‐phase polycrystals having hexagonal symmetry and trigonal symmetry. The bounds of the effective elastic moduli obtained in this way show a considerable improvement over the bounds obtained by means of the Voigt and Reuss assumptions. The Hill average is found to be in most cases a good approximation when compared to the bounds found from the variational method. The new bounds reduce in their limits to the Voigt and Reuss values.
Suggested Citation
Peselnick, L., and Meister, R., 1965, Variational method of determining effective moduli of polycrystals: (A) hexagonal symmetry, (B) trigonal symmetry: Journal of Applied Physics, v. 36, no. 9, p. 2879-2884, https://doi.org/10.1063/1.1714598.
| Publication type | Article |
|---|---|
| Publication Subtype | Journal Article |
| Title | Variational method of determining effective moduli of polycrystals: (A) hexagonal symmetry, (B) trigonal symmetry |
| Series title | Journal of Applied Physics |
| DOI | 10.1063/1.1714598 |
| Volume | 36 |
| Issue | 9 |
| Year Published | 1965 |
| Publisher | AIP |
| Description | 6 p,. |
| First page | 2879 |
| Last page | 2884 |