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Stress-based estimates and bounds of effective elastic properties: The case of cracked media with unilateral effects

type de publication      article dans une revue internationale avec comité de lecture
date de publication 2009
auteur(s) Dormieux Luc; Kondo Djimédo
journal (abréviation) Computational Materials Science (Comput Mater Sci)
volume (numéro) 46 (1)
pages 173 – 179
résumé For direct insight into the stress concentration rule, stress-based boundary conditions are most appropriate. In this framework, the dilute and Mori–Tanaka estimates are shown to be identical for frictionless closed cracks. This extends a result already known for of opened cracks. The link with strain-based homogenization is also provided. In order to take into account the effects of the spatial distribution of cracks, a stress-based lower bound of the effective compliance dual of the strain-based upper bound of the stiffness proposed in [9] is derived. Illustrations for parallel closed cracks are presented.
mots clés Homogenization; Micromechanics; Cracking; Anisotropy; Eshelby tensor; Unilateral effects
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