Journal
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
Volume 47, Issue 16, Pages 2178-2189Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2010.04.027
Keywords
Interaction integral; Stress intensity factors (SIFs); Three-dimensional (3D); Nonhomogeneous materials; Interface; Finite element method (FEM)
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Funding
- Program of Excellent Team in Harbin Institute of Technology, Heilongjiang Province Foundatio [LC2009C01]
- NSFC [10432030, 10872056]
- NCET [08-0151]
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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.
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