Abstract

Abstract Kroner and Wawra (1978) have demonstrated that the Voigt and Reuss bounds for the elastic constants C′13, C′33, and C′44 of a polycrystalline aggregate of cubic crystallites with [100] fibre texture coincide. In this paper it is shown in addition that the quantity C′11+C′12 has the same value in the Voigt and Reuss schemes, and that the difference in C′66=(C′11-C′12)/2 varies with the square of the anisotropy factor C=(C 11-C 12-2C 44) of the crystallites from which the aggregate is composed for small anisotropy C. Expressions for the elastic stiffness and compliance constants in the Voigt and Reuss schemes are given which correct those recently given by Ledbetter (1982).

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