Extreme values of Young’s modulus and Poisson’s ratio of hexagonal crystals

  title={Extreme values of Young’s modulus and Poisson’s ratio of hexagonal crystals},
  author={Valentin A. Gorodtsov and Dmitry S. Lisovenko},
  journal={Mechanics of Materials},
The Extreme Values of Young’s Modulus and the Negative Poisson’s Ratios of Rhombic Crystals
The extreme values of Young’s modulus for rhombic (orthorhombic) crystals using the necessary and sufficient conditions for the extremum of the function of two variables are analyzed herein. Seven
Strong Elastic Anisotropy of Low-Dimensional Ternary Compounds: InXTe3 (X = Si, Ge)
The stability, anisotropic elastic behavior and electronic properties of trigonal In2Si2Te6, InSiTe3, In2Ge2Te6, and InGeTe3 compounds have been studied by first-principles calculations. The
Mathematical simulation of elastoplastic deformation in cubic materials with an account of anisotropic bulk compressibility
It was shown for the first time that when modelling the deformation of materials with cubic symmetry (at full stress), the rotation of the computational axes leads to the identification of
Elastic Properties of Chiral Metallic Nanotubes Formed from Cubic Crystals
Abstract The study analyzes the elastic properties of chiral metallic nanotubes formed by rolling up thin crystal plates with the [011] and [111] orientations within two frameworks of anisotropic
Mechanical Properties of СeF3 Single Crystals


Variability of Young’s modulus and Poisson’s ratio of hexagonal crystals
In this paper, the variability of elastic characteristics (Young's modulus and Poisson's ratio) of hexagonal crystals has been studied. Analytic expressions for Young's modulus and Poisson's ratio
Extreme values of the Poisson’s ratio of cubic crystals
The problem of determining the extrema of Poisson’s ratio for cubic crystals is considered, and analytical expressions are derived to calculate its extreme values. It follows from the obtained
Auxetics among 6-constant tetragonal crystals
Analytical and numerical features of the elastic properties of the stretched rectilinearly anisotropic 6-constant tetragonal crystals are considered. Analytical formulas for Young’s modulus and
Relation of Poisson’s ratio on average with Young’s modulus. Auxetics on average
A linear relation between the Poisson’s ratio averaged along the transverse directions and Young’s modulus of the tensed cubic crystal is established. It is found that the coefficients of the linear
On the Extreme Values of Young’s Modulus, the Shear Modulus, and Poisson’s Ratio for Cubic Materials
For homogeneous cubic elastic materials with positive definite stored energy it is shown that the maximum and minimum values of Young's modulus E are related to the maximum and minimum values of the
Poisson's ratio in cubic materials
  • A. Norris
  • Mathematics
    Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • 2006
Expressions are given for the maximum and minimum values of Poisson's ratio ν for materials with cubic symmetry. Values less than −1 occur if and only if the maximum shear modulus is associated with
The anisotropy of Young's modulus, shear modulus and Poisson's ratio in cubic materials
The directional behaviour of Young's modulus, shear modulus, and Poisson's ratio are expressed for a number of crystallographic planes for cubic materials. Their behaviour as a function of direction
Young’s modulus and Poisson’s ratio for seven-constant tetragonal crystals and nano/microtubes
In the paper, the elasticity theory was applied to consider the mechanical properties of rectilinearly anisotropic seven-constant tetragonal crystals and their cylindrically anisotropic