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Shear Moduli of Macroisotropic Cubic Polycrystalline Materials
Author(s) -
Sisodia P.,
Dhoble A.,
Verma M. P.
Publication year - 1991
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221630204
Subject(s) - shear modulus , cubic crystal system , moduli , anisotropy , crystallite , bulk modulus , materials science , shear (geology) , modulus , thermodynamics , condensed matter physics , mathematical analysis , composite material , mathematics , physics , optics , metallurgy , quantum mechanics
The effective shear moduli of the perfectly disordered polycrystalline cubic solids are determined by solving the well known cubic equation. The solids include perhaps all the cubic crystals for which single crystal elastic constant data are available at present. It is observed that the effective shear modulus can be empirically expressed as a simple function of the anisotropy parameter A and that a justification for such an expression can be derived from the cubic equation itself. It is further observed by analysing the cubic equation that (a) considering the shear modulus G to be independent of the bulk modulus B one would obtain bounds for G even narrower than the Hashin‐Shtrikman bounds and (b) that the VRH mean is quite close to the self consistent shear modulus for all the cubic solids.