On a Possible Approximation of Changes in Elastic Properties of a Transversely Isotropic Material due to an Arbitrarily Oriented Crack
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- 作者：Felicia Guerrero ; Igor Sevostianov and Albert Giraud
- 关键词：Crack ; transversely ; isotropic material ; elastic potential ; compliance contribution tensor ; best isotropic fit ; anisotropy
- 刊名：International Journal of Fracture
- 出版年：2008
- 出版时间：October, 2008
- 年：2008
- 卷：153
- 期：2
- 页码：169-176
- 全文大小：403.4 KB
文摘
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.