Variational Method of Determining Effective Moduli of Polycrystals: (A) Hexagonal Symmetry, (B) Trigonal Symmetry
作者:
Louis Peselnick,
Robert Meister,
期刊:
Journal of Applied Physics
(AIP Available online 1965)
卷期:
Volume 36,
issue 9
页码: 2879-2884
ISSN:0021-8979
年代: 1965
DOI:10.1063/1.1714598
出版商: AIP
数据来源: AIP
摘要:
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.
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