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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...
Pages: 10
Size: 612 kb
Paper DOI: 10.2495/DM000381
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