A new interaction integral formulation is derived for obtaining mixed-mode stress intensity factors (SIFs) of an interface crack with the tip close to complicated material interfaces. The method is a conservation integral that relies on two admissible mechanical states (actual and auxiliary fields). By a suitable selection of the auxiliary fields, the domain formulation does not contain any integral related to the material interfaces, which makes it quite convenient to deal with complicated interface problems. The numerical implementation of the derived expression is combined with the extended finite element method (XFEM). According to the numerical calculations, the interaction integral shows good accuracy for straight and curved interface crack problems and exhibits domain-independence for material interfaces. Finally, an interfacial fracture problem is investigated for the representative centrosymmetric structure formed by two constituent materials.
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e-mail: wlz@hit.edu.cn
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November 2011
Research Papers
Investigation of Stress Intensity Factors for an Interface Crack in Multi-Interface Materials Using an Interaction Integral Method
Linzhi Wu,
e-mail: wlz@hit.edu.cn
Linzhi Wu
Center for Composite Materials, Harbin Institute of Technology
, Harbin 150001, China
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Hongjun Yu,
e-mail: yuhongjun@hit.edu.cn
Hongjun Yu
Center for Composite Materials, Harbin Institute of Technology
, Harbin 150001, China
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Licheng Guo,
Licheng Guo
Center for Composite Materials, Harbin Institute of Technology
, Harbin 150001, China
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Qilin He,
Qilin He
Center for Composite Materials, Harbin Institute of Technology
, Harbin 150001, China
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Shanyi Du
Shanyi Du
Center for Composite Materials, Harbin Institute of Technology
, Harbin 150001, China
Search for other works by this author on:
Linzhi Wu
Center for Composite Materials, Harbin Institute of Technology
, Harbin 150001, China
e-mail: wlz@hit.edu.cn
Hongjun Yu
Center for Composite Materials, Harbin Institute of Technology
, Harbin 150001, China
e-mail: yuhongjun@hit.edu.cn
Licheng Guo
Center for Composite Materials, Harbin Institute of Technology
, Harbin 150001, China
Qilin He
Center for Composite Materials, Harbin Institute of Technology
, Harbin 150001, China
Shanyi Du
Center for Composite Materials, Harbin Institute of Technology
, Harbin 150001, China
J. Appl. Mech. Nov 2011, 78(6): 061007 (11 pages)
Published Online: August 24, 2011
Article history
Received:
September 14, 2009
Revised:
March 24, 2011
Published:
August 24, 2011
Citation
Wu, L., Yu, H., Guo, L., He, Q., and Du, S. (August 24, 2011). "Investigation of Stress Intensity Factors for an Interface Crack in Multi-Interface Materials Using an Interaction Integral Method." ASME. J. Appl. Mech. November 2011; 78(6): 061007. https://doi.org/10.1115/1.4003906
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