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Volume 42 Issue 6
Jun.  2016
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Journal of Beijing University of Aeronautics and Astronautics  > 2016  >  42(6): 1162-1168.
SU Yi, WANG Shengnan, LU Longkunet al. SIFs of interfacial crack using generalized extended finite element method[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(6): 1162-1168. doi: 10.13700/j.bh.1001-5965.2015.0376(in Chinese)
Citation: SU Yi, WANG Shengnan, LU Longkunet al. SIFs of interfacial crack using generalized extended finite element method[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(6): 1162-1168. doi: 10.13700/j.bh.1001-5965.2015.0376(in Chinese)
shu

SIFs of interfacial crack using generalized extended finite element method

doi: 10.13700/j.bh.1001-5965.2015.0376

  • College of Aeronautics, Northwestern Polytechnical University, Xi'an 710072, China

  • Received Date: 09 Jun 2015
  • Publish Date: 20 Jun 2016
    Abstract
  • Generalized extended finite element method (GXFEM) is a new numerical simulation method which combines both the generalized finite element and the extended finite element. The principle of the generalized extended finite element method for analyzing the stress intensity factor (SIF) of bi-material interfacial cracks is proposed. A new enriched function for bi-material interfacial crack tip is proposed, and the twelve crack tip enriched functions are reduced to the six ones. Because of the discontinuity of bi-material interface, enrichment functions based on level set are added in the displacement mode of the conventional finite element method. And the node freedom of the crack element and crack tip element are also generalized. Besides, the calculation precision is improved. A comparison of literature method and GXFEM calculations of numerical examples shows the the accuracy and reliability of the proposed method.

     

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    • References(15)
  • [1]
    MATSUMTO T,TANAKA M,OBARA R.Computation of stress intensity factors of interface cracks based on interaction energy release rates and BEM sensitivity analysis[J].Engineering Fracture Mechanics,2000,65(6):683-702.
    [2]
    LIU Z L,MENOUILLARD T,BELYTSCHKO T.An XFEM/spectral element method for dynamic crack propagation[J].International Journal of Fracture,2011,169(2):183-198.
    [3]
    CHENG K W,FRIES T P.Higher-order XFEM for cured strong and weak discontinuities[J].International Journal for Numerical Methods in Engineering,2010,82(5):564-590.
    [4]
    MOUSAVI S E,GRINSPUN E,SUKUMAR N.Higher-order extended finite elements with harmonic enrichment functions for complex crack problems[J].International Journal for Numerical Methods in Engineering,2011,86(4-5):560-574.
    [5]
    GRACIE R,WANG H W,BELYTSCHKO T.Blending in the extended finite element method by discontinuous Galerkin and assumed strain methods[J].International Journal for Numerical Methods in Engineering,2008,74(11):1645-1669.
    [6]
    MOTAMEDI D,MOHAMMADI S.Dynamic analysis of fixed cracks in composites by the extended finite element method[J].Engineering Fracture Mechanics,2010,77(17):3373-3393.
    [7]
    BELYTSCHKO T,BLACK T.Elastic crack growth in finite elements with minimal remeshing[J].International Journal for Numerical Methods in Enginering,1999,45(5):601-620.
    [8]
    MOËS N,DOLBOW J,BELYTSCHKO T.A finite element method for crack growth without remeshing[J].International Journal for Numerical Methods in Engineering,1999,46(1):131-150.
    [9]
    章青,刘宽,夏晓舟,等.广义扩展有限元法及其在裂纹扩展分析中的应用[J].计算力学,2012,29(3):427-432. ZHANG Q,LIU K,XIA X Z,et al.Generalized extended finite element method and its application in crack growth analysis[J].Chinese Journal of Computational Mechanics,2012,29(3):427-432(in Chinese).
    [10]
    PATHAK H,SINGH A,SINGH I V.Numerical simulation of bi-material interfacial cracks using EFGM and XFEM[J].International Journal of Mechanics and Materials in Design,2012,8(1):9-36.
    [11]
    MOES N,CLOIREC M,CARTRAUD P,et al.A computation approach to handle complex micro-structure geometries[J].Computer Methods in Applied Mechanics and Engineering,2003,192(28): 3163-3178.
    [12]
    江守燕,杜成斌.一种XFEM断裂分析的裂尖单元新型改进函数[J].力学学报,2013,45(1):134-138. JIANG S Y,DU C B.A novel enriched function of elements containing crack tip for fracture analysis XFEM[J].Chinese Journal of Theoretical and Applied Mechanics,2013,45(1):134-138(in Chinese).
    [13]
    SUKUMAR N,HUANG Z Y,PRÉVOST J H,et al.Partition of unity enrichment for bimaterial interface cracks[J].International Journal for Numerical Methods in Engineering,2004,59(8):1075-1102.
    [14]
    SUKUMAR N,CHOPP D L,MOES N,et al.Modeling holes and inclusions by level sets in the extended finite element method[J].Computer Methods in Applied Mechanics and Engineering,2001,190(46):6183-6200.
    [15]
    RICE J R.Elastic fracture mechanics concepts for interfacial cracks[J].Journal of Applied Mechanics,1988,55(1): 98-103.
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