Abstract
Effective elastic moduli of 2-D solids with randomly located perfectly rigid elliptical inclusions are derived using non-interacting approximation. This approximation constitutes the basic building block for various approximate schemes in micromechanics of materials with interacting inhomogeneities. Anisotropy due to non-random orientation of inclusions is investigated. The results are obtained in closed form and compared against existing solutions.
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Tsukrov, I. Elastic Moduli of Composites with Rigid Elliptical Inclusions. International Journal of Fracture 101, 29–34 (2000). https://doi.org/10.1023/A:1007635702363
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DOI: https://doi.org/10.1023/A:1007635702363