Classification of cubic auxetics
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. Character of its changes with change of the dimensionless complex is determined. The critical value of the complex where a topological re-arrangement of the auxetical surface occurs is obtained. The distribution of partial auxetics in zones with different values of the dimensionless complex was found. Sign of another dimensionless parameter influences the location of a region with negative Poisson's ratio relative to the auxetical surface.
Cubic auxetics, complete auxetics, partial auxetics, negative Poisson’s ratio, cubic crystals