Induced damage by ellipsoidal cracks in an anisotropic medium

This paper is concerned with an estimation of the e}ective elastic properties of an anisotropic body permeated by ellipsoidal cracks following the Eshelby|s method[ The classical integral expression of the P! tensor\ the symmetrised derivative of the Green|s tensor\ is given for a 2D de_ned crack embedded in an anisotropic medium[ The numerical evaluation of the P!tensor is validated with several limiting cases of simpli_ed geometry cracks[ The interest of a 2D representation of the cracks is shown with several appli! cations] in~uence of the ellipticity and crack thickness aspect ratios\ growing cracks[ To conclude\ a comparison between theoretical results and experimental data is done for the load!induced change of the compliance tensor for a damaged composite material