Author(s)

I. Tsukrov & M. Kachanov

Abstract

Effective elastic moduli of a 2-D anisotropic solid with elliptical holes and cracks having an arbitrary (non-random) orientational distribution are given in closed form. Proper tensorial parameters of defect density (dependent on ellipses' eccentricity and their orientations relative to the matrix anisotropy axes) are identified. This allows one to establish the overall elastic anisotropy. The results for mixtures of holes and cracks are presented. 1 Introduction We call the density parameter proper if it correctly reflects the individual hole contributions to the overall elastic compliance. Only in terms of such a parameter can the effective compliances be uniquely expressed. Identification of the proper density paramete

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