An interaction integral method for 3D curved cracks in nonhomogeneous materials with complex interfaces

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:47

Article

Yu, Hongjun¹  Wu, Linzhi¹  Guo, Licheng¹  Wu, Huaping²  Du, Shanyi¹ 

[1] Harbin Inst Technol, Ctr Composite Mat, Harbin 150001, Peoples R China

[2] Zhejiang Univ Technol, Minist Educ, Key Lab Special Purpose Equipment & Adv Proc Tech, Hangzhou 310032, Zhejiang, Peoples R China

关键词: Interaction integral;    Stress intensity factors (SIFs);    Three-dimensional (3D);    Nonhomogeneous materials;    Interface;    Finite element method (FEM);   

DOI  :  10.1016/j.ijsolstr.2010.04.027

来源: Elsevier

【 摘 要 】

This work derives an interaction integral for the computation of mixed-mode stress intensity factors (SIFs) in three-dimensional (3D) nonhomogeneous materials with continuous or discontinuous properties. The present method is based on a two-state integral by the superposition of actual and auxiliary fields. In 3D domain formulation of the interaction integral derived here, the integrand does not involve any derivatives of material properties. Furthermore, the formulation can be proved to be still valid even when the integral domain contains material interfaces. Therefore, it is not necessary to limit the material properties to be continuous for the present formulation. On account of these advantages, the application range of the interaction integral can be greatly enlarged. This method in conjunction with the finite element method (FEM) is employed to solve several representative fracture problems. According to the comparison between the results and those from the published lectures, good agreement demonstrates the validation of the interaction integral. The results show that the present interaction integral is domain-independent for nonhomogeneous materials with interfaces. (C) 2010 Elsevier Ltd. All rights reserved.

【 授权许可】

Free