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Variational method of determining effective moduli of polycrystals with tetragonal symmetry

Journal of Applied Physics

By:
and
DOI: 10.1063/1.1707986

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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. ?? 1966 The American Institute of Physics.

Additional Publication Details

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
Larger Work Type:
Article
Larger Work Subtype:
Journal Article
Larger Work Title:
Journal of Applied Physics
First page:
4121
Last page:
4125
Number of Pages:
5