## 20 Citations

The Extreme Values of Young’s Modulus and the Negative Poisson’s Ratios of Rhombic Crystals

- Materials ScienceCrystals
- 2021

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…

Effective elastic properties variability for two-layered plates of hexagonal and cubic crystals under longitudinal tension

- Materials Science
- 2021

Elastic properties of diamond-like phases based on carbon nanotubes

- Materials Science, EngineeringDiamond and Related Materials
- 2019

Strong Elastic Anisotropy of Low-Dimensional Ternary Compounds: InXTe3 (X = Si, Ge)

- Materials ScienceJournal of Electronic Materials
- 2021

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

- Materials ScienceMathematics and Mechanics of Solids
- 2021

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

- Materials Science
- 2021

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…

A class of shape-shifting composite metamaterial honeycomb structures with thermally-adaptive Poisson’s ratio signs

- Materials ScienceComposite Structures
- 2019

Compression and shear behaviour of graded chiral auxetic structures

- Materials Science, Engineering
- 2020

## References

SHOWING 1-10 OF 49 REFERENCES

Variability of Young’s modulus and Poisson’s ratio of hexagonal crystals

- Mathematics
- 2018

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

- Mathematics
- 2016

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

- Materials Science
- 2015

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

- Mathematics
- 2012

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

- Mathematics, Materials Science
- 1998

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

- MathematicsProceedings 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

- Geology
- 1971

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

- Materials Science
- 2015

In the paper, the elasticity theory was applied to consider the mechanical properties of rectilinearly anisotropic seven-constant tetragonal crystals and their cylindrically anisotropic…