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Variational method of determining effective moduli of polycrystals: (A) hexagonal symmetry, (B) trigonal symmetry

Journal of Applied Physics

By:
and
DOI: 10.1063/1.1714598

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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. ?? 1965 The American Institute of Physics.

Additional Publication Details

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
Language:
English
Larger Work Type:
Article
Larger Work Subtype:
Journal Article
Larger Work Title:
Journal of Applied Physics
First page:
2879
Last page:
2884