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

Published

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 Cijkl. From the Cijkl 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 υs, and means υm. 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 ,

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 May 25, 2024)

Issues

If you have any questions about this publication or are having problems accessing it, please contact reflib@nist.gov.

Created January 5, 2001, Updated February 17, 2017