Investigation of mixed-mode stress intensity factors for nonhomogeneous materials using an interaction integral method

By Hongjun Yu, Lin-zhi Wu, Licheng Guo, S. Du, Qi-lin He. 2009

152 citations recorded by the source corpus.

Abstract An interaction (energy) integral is derived for the computation of mixed-mode stress intensity factors (SIFs) in nonhomogeneous materials with continuous or discontinuous properties. This method is based on a conservation integral that relies on two admissible mechanical states (actual and auxiliary fields). In general, the interaction energy contour integral is converted into an equivalent domain integral in numerical computations. It can be seen from the equivalent domain integral, the integrand does not involve any derivatives of material properties. Moreover, the formulation can be proved 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 method. Due to these advantages the application range of the interaction integral method can be greatly enlarged. The numerical implementation of the derived expression is combined with the extended finite element method (XFEM). Using this method, the influences of material properties on the mixed-mode SIFs are investigated for four types of material properties selected in this work. Numerical results show that the mechanical properties and their first-order derivatives can affect mode I and II SIFs greatly, while the higher-order derivatives affect the SIFs very slightly.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/a14791844f2e1e5bcc467e6b0d63828d772d095d

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In Civil and Structural Engineering

1. S. Du
2. Hongjun Yu
3. Licheng Guo
4. Lin-zhi Wu

In Mechanics of Materials

1. S. Du
2. Huaping Wu
3. Hongjun Yu
4. Licheng Guo
5. Lin-zhi Wu

Citations in the corpus

• An interaction integral method for 3D curved cracks in nonhomogeneous materials with complex interfaces (2010, methodology): “In authors’ previous work (Yu et al., 2009), the interaction integral method was extended to solve the fracture problems in 2D nonhomogeneous materials with complex interfaces.”