International Journal of Fracture

, Volume 170, Issue 1, pp 27–36 | Cite as

Equilibrium state of mode-I sub-interfacial crack growth in bi-materials

  • Z. Zhuang
  • B. B. Cheng
Original Paper


The sub-interfacial crack growth in bi-materials is numerically studied in this paper using the extended finite element method (X-FEM), which gives a clear description of the effect on fracture which is made by the interface and loading condition. Computational results are compared with the experiment data, which demonstrates that X-FEM is more powerful to capture the actual crack growing path than the standard FEM. Further researches show that there exists an equilibrium state which forms a mode-I crack growth in bi-materials. An empirical formula is proposed which quantitatively reveals the influence of material inhomogeneity, loading asymmetry and location of the initial crack on this state.


Bi-materials Mode-I sub-interfacial crack Equilibrium state X-FEM 


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Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.School of AerospaceTsinghua UniversityBeijingChina

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