Eshelby tensor for a crack in an orthotropic elastic medium
Résumé
In the present Note, we provide new analytical expressions of the components of Hill tensor Click to view the MathML source (or equivalently the Eshelby tensor Click to view the MathML source) 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.