Decompositions of the Compliance Operator for Analyzing Extreme Elastic Properties

Abstract

With the aim of exploring extreme elastic properties, decompositions of the compliance tensor are established for various crystal classes. Representations are deduced that lead directly to well-structured forms for analyzing extreme properties. The properties of primary interest are the Lamé compliance and the axial compliance (reciprocal Young’s modulus). These exteme values and the corresponding directions play significant role in the study of those for the Poisson’s ratio, in particular the search for a negative minimum.