|
Canada-0-BuildingsPortable selskapets Kataloger
|
Firma Nyheter:
- Phase Stability and Mechanical Properties of the Monoclinic, Monoclinic . . .
Using energy considerations, Hill certificated the elastic moduli of the Voigt and Reuss methods are the upper and lower limits of polycrystalline constants The practical elastic modulus can be estimated by the arithmetic means of these extremes
- Elastic Constants and Homogenized Moduli of Monoclinic Structures Based . . .
The crystal is monoclinic, with 13 independent constants For the homogenization of elastic deformation, especially for polycrystalline structures, the traditional Reuss-Voigt-Hill method is used to calculate the elastic moduli of monoclinic structures
- First-principle analysis of the structural, mechanical, optical and . . .
The calculated elastic constant C ij can be utilized to estimate the values of the bulk and shear modulus according the Voigt-Reuss-Hill (VRH) approximations as shown in Table 2 The bulk modulus is a degree of the resistivity against volume change executed by the applied pressure
- A Simple Explicit Formula for the Voigt-Reuss-Hill Average of Elastic . . .
The Voigt-Reuss-Hill (VRH) average provides a simple way to estimate the elastic constants of a textured polycrystal in terms of its crystallographic texture and the elastic constants of the constituting crystallites
- Physical meaning of elastic constants of a monoclinic crystal
I deal with a crystal in the monoclinic system, whose elasticity matrix is of the form: (Nye, Physical properties of crystals ; only upper half of the symmetric matrix is written, small dots correspond to elements guaranteed to be equal to zero )
- 1. 10. Elastic constants. - Tohoku
Crystal symmetry results in further reductions of this number: 13 for monoclinic, 9 for orthorhombic, 6 or 7 (depending on the point group symmetry) for trigonal and tetragonal, 5 for hexagonal, and 3 for cubic crystals; for isotropic (amorphous) solids there are only 2 independent elastic constants
- Brillouin Scattering Database - UC Davis
In the Voigt-Reuss-Hill Approximation: \[ B_H = (1 2) (B_R + B_V); G_H = (1 2) (G_R + G_V) \] \[ Y = \frac{9BG}{(3B+G)} \] \[ \sigma = \frac{(3B-2G)}{[2(3B+G)]} \] Cubic Systems
- The Voigt‐Reuss‐Hill Approximation and Elastic Moduli of . . .
The Voigt‐Reuss‐Hill (VRH) approximation, a useful scheme by which anisotropic single‐crystal elastic constants can be converted into isotropic polycrystalline elastic moduli, is shown to apply for moderately anisotropic cubic crystals like MgO, CaF 2, β‐ZnS, ZnSe, and CdTe
- Mean-field homogenization of polycrystals: estimating effective elastic . . .
We reviewed different mean-field approaches, including the Voigt-Reuss-Hill method and the self-consistent scheme, to estimate these properties Finally, we examined the influence of deformation textures on the elastic anisotropy of FCC and BCC materials
|
|