On an elliptic crack embedded in an anisotropic material

被引：14

作者：

Wu, KC ^{[1
]}

机构：

[1] Natl Taiwan Univ, Inst Appl Mech, Taipei, Taiwan

来源：

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES | 2000年 / 37卷 / 35期

关键词：

elliptic crack; stress intensity factor; Stroh formalism; 3-D anisotropic elasticity;

D O I：

10.1016/S0020-7683(99)00185-7

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A generalized Stroh's formalism for three-dimensional anisotropic elasticity is applied to study the elliptic crack problem. The traction on the crack plane is expressed in a simple one-dimensional integral. The integrand contains one of the Barnett-Lothe tensors which can be calculated directly from the elastic constants. It is shown that with respect to a local coordinate system, the traction on the crack plane and relative crack face displacement in the vicinity of the crack edge have the same form as their two-dimensional counterparts. A systematic method to derive the stress intensity factors for polynomial loadings is discussed. Explicit results are given for constant, linear and quadratic loadings. (C) 2000 Elsevier Science Ltd. All rights reserved.

引用

页码：4841 / 4857

页数：17

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