%0 electronic Article
%A Guerrero, Felicia
%E Sevostianov, Igor
%E Giraud, Albert
%D 2008
%G English
%@ 1573-2673
%T On a Possible Approximation of Changes in Elastic Properties of a Transversely Isotropic Material due to an Arbitrarily Oriented Crack
%J International Journal of Fracture
%V 153
%N 2
%P 169-176
%U http://dx.doi.org/10.1007/s10704-009-9311-1
%K OriginalPaper
%K Crack
%K transversely-isotropic material
%K elastic potential
%K compliance contribution tensor
%K best isotropic fit
%K anisotropy
%X The present paper addresses an approximate analytical model for contribution of an arbitrarily oriented circular crack into effective elastic compliance of a transversely isotropic material. We numerically examine the bounds of applicability of the hypothesis that change in elastic potential due to an arbitrarily oriented circular crack in a transversely-isotropic material can be approximated by the change calculated for a certain isotropic environment. In particular, we obtained that the error of such an approximation is less than 20% if the extent of anisotropy is moderate – the ratio of Young’s moduli in transverse and in-plane directions is less than 1.87. The obtained result can be used for development of a simple model for microcracked transversely-isotropic materials with mild-to-moderate extent of anisotropy.