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Volumn 88, Issue 10, 2011, Pages 1042-1065

An XFEM method for modeling geometrically elaborate crack propagation in brittle materials

Author keywords

Finite elements; Fracture; XFEM

Indexed keywords

COMPLICATED DOMAIN; CRACK EDGES; CRACK PATTERNS; CUTTING ALGORITHM; EXTENDED FINITE ELEMENT METHOD; FINITE ELEMENT; GEOMETRIC ALGORITHM; INTEGRATION RULE; INTEGRATION SCHEME; QUADRATURE RULES; QUASI-STATIC; XFEM;

EID: 80755132101     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.3211     Document Type: Article
Times cited : (92)

References (58)
  • 2
    • 0037298616 scopus 로고    scopus 로고
    • Modelling of stationary and growing cracks in FE framework without remeshing: a state-of-the-art review
    • Karihaloo BL, Xiao QZ. Modelling of stationary and growing cracks in FE framework without remeshing: a state-of-the-art review. Computers and Structures 2003; 81(3):119-129.
    • (2003) Computers and Structures , vol.81 , Issue.3 , pp. 119-129
    • Karihaloo, B.L.1    Xiao, Q.Z.2
  • 3
    • 43049165623 scopus 로고    scopus 로고
    • A survey of the extended finite element
    • Abdelaziz Y, Hamouine A. A survey of the extended finite element. Computers and Structures 2008; 86(11-12):1141-1151.
    • (2008) Computers and Structures , vol.86 , Issue.11-12 , pp. 1141-1151
    • Abdelaziz, Y.1    Hamouine, A.2
  • 8
    • 20444437547 scopus 로고    scopus 로고
    • Analysis of three-dimensional crack initiation and propagation using the extended finite element method
    • Areias P, Belytschko T. Analysis of three-dimensional crack initiation and propagation using the extended finite element method. International Journal for Numerical Methods in Engineering 2005; 63:760-788.
    • (2005) International Journal for Numerical Methods in Engineering , vol.63 , pp. 760-788
    • Areias, P.1    Belytschko, T.2
  • 9
    • 0037192563 scopus 로고    scopus 로고
    • Extended finite element method for cohesive crack growth
    • Moës N, Belytschko T. Extended finite element method for cohesive crack growth. Engineering Fracture Mechanics 2002; 69(7):813-833.
    • (2002) Engineering Fracture Mechanics , vol.69 , Issue.7 , pp. 813-833
    • Moës, N.1    Belytschko, T.2
  • 12
    • 27644580053 scopus 로고    scopus 로고
    • Mesh-independent discrete numerical representations of cohesive-zone models
    • de Borst R, Remmers JJ, Needleman A. Mesh-independent discrete numerical representations of cohesive-zone models. Engineering Fracture Mechanics 2006; 73(2):160-177.
    • (2006) Engineering Fracture Mechanics , vol.73 , Issue.2 , pp. 160-177
    • de Borst, R.1    Remmers, J.J.2    Needleman, A.3
  • 15
    • 24944553482 scopus 로고    scopus 로고
    • Singular enrichment finite element method for elastodynamic crack propagation
    • Belytschko T, Chen H. Singular enrichment finite element method for elastodynamic crack propagation. International Journal of Computational Methods 2004; 1(1):1-15.
    • (2004) International Journal of Computational Methods , vol.1 , Issue.1 , pp. 1-15
    • Belytschko, T.1    Chen, H.2
  • 17
    • 44749084234 scopus 로고
    • Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
    • Osher S, Sethian JA. Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations. Journal of Computational Physics 1988; 79(1):12-49.
    • (1988) Journal of Computational Physics , vol.79 , Issue.1 , pp. 12-49
    • Osher, S.1    Sethian, J.A.2
  • 21
  • 28
    • 33644933965 scopus 로고    scopus 로고
    • A quasi-optimal convergence result for fracture mechanics with XFEM
    • Chahine E, Laborde P, Renard Y. A quasi-optimal convergence result for fracture mechanics with XFEM. Competes Rendus Mathematique 2006; 342(7):527-532.
    • (2006) Competes Rendus Mathematique , vol.342 , Issue.7 , pp. 527-532
    • Chahine, E.1    Laborde, P.2    Renard, Y.3
  • 31
    • 0038601916 scopus 로고    scopus 로고
    • An extended finite element method with higher-order elements for curved cracks
    • Stazi F, Budyn E, Chessa J, Belytschko T. An extended finite element method with higher-order elements for curved cracks. Computational Mechanics 2003; 31:38-48.
    • (2003) Computational Mechanics , vol.31 , pp. 38-48
    • Stazi, F.1    Budyn, E.2    Chessa, J.3    Belytschko, T.4
  • 36
    • 65449162624 scopus 로고    scopus 로고
    • Integration of singular enrichment functions in the generalized/extended finite element method for three-dimensional problems
    • Park K, Pereira J, Duarte C, Paulino G. Integration of singular enrichment functions in the generalized/extended finite element method for three-dimensional problems. International Journal for Numerical Methods in Engineering 2009; 78(10):1220-1257.
    • (2009) International Journal for Numerical Methods in Engineering , vol.78 , Issue.10 , pp. 1220-1257
    • Park, K.1    Pereira, J.2    Duarte, C.3    Paulino, G.4
  • 37
    • 33646174247 scopus 로고    scopus 로고
    • On the elimination of quadrature subcells for discontinuous functions in the extended finite-element method
    • Ventura G. On the elimination of quadrature subcells for discontinuous functions in the extended finite-element method. International Journal for Numerical Methods in Engineering 2006; 66:761-795.
    • (2006) International Journal for Numerical Methods in Engineering , vol.66 , pp. 761-795
    • Ventura, G.1
  • 40
    • 78649632094 scopus 로고    scopus 로고
    • Generalized gaussian quadrature rules for discontinuities and crack singularities in the extended finite element method
    • DOI: 10.1016/j.ema.2010.06.031.
    • Mousavi S, Sukumar N. Generalized gaussian quadrature rules for discontinuities and crack singularities in the extended finite element method. Computer Methods in Applied Mechanics and Engineering 2010; 199(49-52):3237-3249. DOI: 10.1016/j.ema.2010.06.031.
    • (2010) Computer Methods in Applied Mechanics and Engineering , vol.199 , Issue.49-52 , pp. 3237-3249
    • Mousavi, S.1    Sukumar, N.2
  • 43
    • 79851504685 scopus 로고    scopus 로고
    • Harmonic enrichment functions: a unified treatment of multiple, intersecting and branch cracks in the extended finite element method
    • DOI: 10.1002/nme.3020
    • Mousavi S, Grinspun E, Sukumar N. Harmonic enrichment functions: a unified treatment of multiple, intersecting and branch cracks in the extended finite element method. International Journal for Numerical Methods in Engineering 2011; 85(10):1306-1322. DOI: 10.1002/nme.3020.
    • (2011) International Journal for Numerical Methods in Engineering , vol.85 , Issue.10 , pp. 1306-1322
    • Mousavi, S.1    Grinspun, E.2    Sukumar, N.3
  • 48
    • 3142681642 scopus 로고    scopus 로고
    • A finite element method for the simulation of strong and weak discontinuities in solid mechanics
    • Hansbo A, Hansbo P. A finite element method for the simulation of strong and weak discontinuities in solid mechanics. Computer Methods in Applied Mechanics and Engineering 2004; 193(33-35):3523-3540.
    • (2004) Computer Methods in Applied Mechanics and Engineering , vol.193 , Issue.33-35 , pp. 3523-3540
    • Hansbo, A.1    Hansbo, P.2
  • 51
    • 28444482796 scopus 로고    scopus 로고
    • A comment on the article 'a finite element method for simulation of strong and weak discontinuities in solid mechanics' by A. Hansbo and P. Hansbo [Computer Methods in Applied Mechanics and Engineering 2004; 193:3523-3540]
    • Areias PM, Belytschko T. A comment on the article 'a finite element method for simulation of strong and weak discontinuities in solid mechanics' by A. Hansbo and P. Hansbo [Computer Methods in Applied Mechanics and Engineering 2004; 193:3523-3540]. Computer Methods in Applied Mechanics and Engineering 2006; 195(9-12):1275-1276.
    • (2006) Computer Methods in Applied Mechanics and Engineering , vol.195 , Issue.9-12 , pp. 1275-1276
    • Areias, P.M.1    Belytschko, T.2
  • 52
    • 77951946548 scopus 로고    scopus 로고
    • Dynamic fracture of shells subjected to impulsive loads
    • 051301-1-051301-9
    • Song J, Belytschko T. Dynamic fracture of shells subjected to impulsive loads. Journal of Applied Mechanics 2009; 76:051301-1-051301-9.
    • (2009) Journal of Applied Mechanics , vol.76
    • Song, J.1    Belytschko, T.2
  • 55
    • 0003854283 scopus 로고    scopus 로고
    • (3rd edn). Cambridge University Press: Cambridge
    • Braess D. Finite Elements (3rd edn). Cambridge University Press: Cambridge, 2007.
    • (2007) Finite Elements
    • Braess, D.1
  • 56
    • 12844259872 scopus 로고    scopus 로고
    • A crystalline, red-green strategy for meshing highly deformable objects with tetrahedra
    • Santa Fe, NM, September
    • Molino N, Bridson R, Teran J, Fedkiw R. A crystalline, red-green strategy for meshing highly deformable objects with tetrahedra. 12th International Meshing Roundtable, Santa Fe, NM, September 2003; 103-114.
    • (2003) 12th International Meshing Roundtable , pp. 103-114
    • Molino, N.1    Bridson, R.2    Teran, J.3    Fedkiw, R.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.