Monocrystal Elastic Constants and Deprived Properties of the Cubic and the Hexagonal Elements

Published

January 5, 2001

Author(s)

H M. Ledbetter, S D. Kim

Abstract

For forty-one cubic-symmetry elements and twenty-one hexagonal-symmetry elements, we give the complete monocrystal elastic-stiffness tensor C_ijkl. From the C_ijkl and the mass densities, we derived other useful physical properties. First, we derived the elastic anisotropy. Second, we derived the quasiisotropic (polycrystal) elastic constants such as E = Young modulus, G = shear modulus, B = bulk modulus. C₁ = longitudinal modulus, υ = Poisson ratio. Third, we derived the quasiisotropic sound velocities: longitudinal υ/, shear υ_s, and means υ_m. Fourth, we derived a solid's most important single property: the Debye characteristic temperature θ, which relates theoretically or empirically to an enormous range of solid-state phenomena.

Citation

Monocrystal Elastic Constants and Deprived Properties of the Cubic and the Hexagonal Elements

Volume

II

Publisher Info

Handbook of Elastic Properties of Solids, Fluids, and Gases ,

Pub Type

Books

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Keywords

coefficients, debye characteristic temperature, elastic-stiffness, moss density, Poisson ratio, shear modulus, sound velocities, young modulus

Citation

Ledbetter, H. and Kim, S. (2001), Monocrystal Elastic Constants and Deprived Properties of the Cubic and the Hexagonal Elements, Handbook of Elastic Properties of Solids, Fluids, and Gases , , [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=851172 (Accessed October 15, 2025)