Hashin-Shtrikman bounds on the effective elastic moduli of polycrystals with monoclinic symmetry
- 1 March 1980
- journal article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 51 (3) , 1520-1524
- https://doi.org/10.1063/1.327803
Abstract
Bounds on the effective elastic moduli of randomly oriented aggregates of monoclinic crystals are derived using the variational principles of Hashin and Shtrikman. The bounds are considerably narrower than the widely used Voigt and Reuss bounds. The Voigt‐Reuss‐Hill average lies within the Hashin‐Shtrikman bounds in nearly all cases.This publication has 10 references indexed in Scilit:
- On some variational principles in anisotropic and nonhomogeneous elasticityPublished by Elsevier ,2002
- Clarification of the Hashin-Shtrikman bounds on the effective elastic moduli of polycrystals with hexagonal, trigonal, and tetragonal symmetriesJournal of Applied Physics, 1980
- Hashin-Shtrikman bounds on the effective elastic moduli of polycrystals with orthorhombic symmetryJournal of Applied Physics, 1979
- The elastic properties of composite materialsReviews of Geophysics, 1976
- Variational Method of Determining Effective Moduli of Polycrystals with Tetragonal SymmetryJournal of Applied Physics, 1966
- Variational Method of Determining Effective Moduli of Polycrystals: (A) Hexagonal Symmetry, (B) Trigonal SymmetryJournal of Applied Physics, 1965
- Elastic moduli of single crystal and polycrystalline MgOPhilosophical Magazine, 1963
- A variational approach to the theory of the elastic behaviour of polycrystalsJournal of the Mechanics and Physics of Solids, 1962
- The Elastic Behaviour of a Crystalline AggregateProceedings of the Physical Society. Section A, 1952
- Berechnung der Fließgrenze von Mischkristallen auf Grund der Plastizitätsbedingung für Einkristalle .ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1929