Classification of cubic auxetics

  title={Classification of cubic auxetics},
  author={Robert V. Goldstein and Valentin A. Gorodtsov and Dmitry S. Lisovenko},
  journal={physica status solidi (b)},
Two‐parameter analysis of auxetics among the cubic crystals is proposed. A brief analysis of the equivalence of this two‐parameter consideration and other approaches is given. The main result of this paper is the classification of partial auxetics with a single dimensionless complex, which is composed of the crystals elastic compliances. The auxetic surface separates the regions with negative and positive Poisson's ratio. The character of its changes with change of the dimensionless complex is… 

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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

Negative Poisson’s Ratios in Anisotropic Linear Elastic Media

Poisson 's ratio for an anisotropic linear elastic material depends on two orthogonal directions n and m. Materials with negative Poisson's ratios for all (n,m) pairs are called completely auxetic