Journal
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
Volume 42, Issue 2, Pages 455-476Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2004.06.047
Keywords
composites; effective properties; Eshelby tensor; transversely isotropic phases
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The present work addresses the problem of calculation of the macroscopic effective elastic properties of composites containing transversely isotropic phases. As a first step, the contribution of a single inhomogeneity to the effective elastic properties is quantified. Relevant stiffness and compliance contribution tensors are derived for spheroidal inhomogeneities. The limiting cases of spherical, penny-shaped and cylindrical shapes are discussed in detail. The property contribution tensors are used to derive the effective elastic moduli of composite materials formed by transversely isotropic phases in two approximations: non-interaction approximation and effective field method. The results are compared with elastic moduli of quasi-random composites. (C) 2004 Elsevier Ltd. All rights reserved.
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