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Eshelby tensor for a crack in an orthotropic elastic medium

type de publication      article dans une revue nationale avec comité de lecture
date de publication 2005
auteur(s) Gruescu Ion-Cosmin; Monchiet Vincent; Kondo Djimédo
journal Comptes Rendus Mécanique
volume (numéro) 333 (6)
pages 467 – 473
résumé In the present Note, we provide new analytical expressions of the components of Hill tensor (or equivalently the Eshelby tensor ) associated to an arbitrarily oriented crack in orthotropic elastic medium. The crack is modelled as an infinite cylinder along a symmetry axis of the matrix, with low aspect ratio. The three dimensional results obtained show explicitly the interaction between the primary (structural) anisotropy and the crack-induced anisotropy. They are validated by comparison with existing results in the case where the crack is in a symmetry plane.
mots clés Damage; Homogenization; Micromechanics; Cracks; Anisotropy; Eshelby tensor
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