Variational Method of Determining Effective Moduli of Polycrystals with Tetragonal Symmetry
- 1 October 1966
- journal article
- research article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 37 (11) , 4121-4125
- https://doi.org/10.1063/1.1707986
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.This publication has 3 references indexed in Scilit:
- On some variational principles in anisotropic and nonhomogeneous elasticityPublished by Elsevier ,2002
- Variational Method of Determining Effective Moduli of Polycrystals: (A) Hexagonal Symmetry, (B) Trigonal SymmetryJournal of Applied Physics, 1965
- A variational approach to the theory of the elastic behaviour of polycrystalsJournal of the Mechanics and Physics of Solids, 1962