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Relationship between single-crystal and polycrystal elastic constants

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A new method is given for computing effective polycrystalline elastic constants from single-crystal elastic coefficients. Agreement with observation is good. The method is based on the assumed equivalence of the lattice-vibrational properties of single crystals and polycrystals of the same material; single-crystal and polycrystal Debye temperatures are equated. Present predictions of polycrystal elastic moduli differ significantly from those of most other averaging methods by being lower than the familiar Voigt-Reuss-Hill results.
Title: Relationship between single-crystal and polycrystal elastic constants
Description:
A new method is given for computing effective polycrystalline elastic constants from single-crystal elastic coefficients.
Agreement with observation is good.
The method is based on the assumed equivalence of the lattice-vibrational properties of single crystals and polycrystals of the same material; single-crystal and polycrystal Debye temperatures are equated.
Present predictions of polycrystal elastic moduli differ significantly from those of most other averaging methods by being lower than the familiar Voigt-Reuss-Hill results.

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