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

@article{Gorodtsov2019ExtremeVO,
  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},
  year={2019}
}
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20 Citations

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References

SHOWING 1-10 OF 49 REFERENCES
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…
Extrema of Young’s modulus for elastic solids with tetragonal symmetry
Elastic anisotropy and extreme Poisson's ratios in single crystals
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