메뉴 건너뛰기




Volumn 5, Issue , 2007, Pages 1-26

A global-local approach for the construction of enrichment functions for the generalized FEM and its application to three-dimensional cracks

Author keywords

Extended finite element method; Fracture mechanics; Generalized finite element method; Global local method; Meshfree method

Indexed keywords


EID: 84964068022     PISSN: 18713033     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-1-4020-6095-3_1     Document Type: Conference Paper
Times cited : (36)

References (44)
  • 2
    • 23944523388 scopus 로고    scopus 로고
    • The splitting method as a tool for multiple damage analysis
    • I. Babuška and B. Andersson. The splitting method as a tool for multiple damage analysis. SIAM journal on scientific computing, 26: 1114-1145, 2005.
    • (2005) SIAM journal on scientific computing , vol.26 , pp. 1114-1145
    • Babuška, I.1    Andersson, B.2
  • 3
    • 0028483749 scopus 로고
    • Special finite element methods for a class of second order elliptic problems with rough coefficients
    • I. Babuška, G. Caloz, and J. E. Osborn. Special finite element methods for a class of second order elliptic problems with rough coefficients. SIAM J. Numerical Analysis, 31 (4): 745-981, 1994.
    • (1994) SIAM J. Numerical Analysis , vol.31 , Issue.4 , pp. 745-981
    • Babuška, I.1    Caloz, G.2    Osborn, J.E.3
  • 9
    • 0002336587 scopus 로고
    • A new non-conforming approach to domain decomposition: The mortar element method. In H. Brezis and J. L. Lions (Eds)
    • Pitman
    • C. Bernadi, Y. Maday, and A. Patera. A new non-conforming approach to domain decomposition: The mortar element method. In H. Brezis and J. L. Lions (Eds), Nonlinear Partial Differential Equations and Their Applications. Pitman, 1994, pp. 13-51.
    • (1994) Nonlinear Partial Differential Equations and Their Applications , pp. 13-51
    • Bernadi, C.1    Maday, Y.2    Patera, A.3
  • 11
    • 0342520886 scopus 로고    scopus 로고
    • Discontinuous enrichment in finite elements with a partition of unity method
    • J. Dolbow, N.Moes, and T. Belytschko. Discontinuous enrichment in finite elements with a partition of unity method. Finite Elements in Analysis and Design, 36: 235-260, 2000.
    • (2000) Finite Elements in Analysis and Design , vol.36 , pp. 235-260
    • Dolbow, J.1    Moes, N.2    Belytschko, T.3
  • 12
    • 0004178147 scopus 로고    scopus 로고
    • PhD Dissertation, The University of Texas at Austin, December ustin, TX, USA
    • C. A. Duarte. The hp Cloud Method. PhD Dissertation, The University of Texas at Austin, December 1996. Austin, TX, USA.
    • (1996) The hp Cloud Method
    • Duarte, C.A.1
  • 13
    • 0037203054 scopus 로고    scopus 로고
    • Mesh-independent directional p-enrichment using the generalized finite element method
    • C. A. Duarte and I. Babuška. Mesh-independent directional p-enrichment using the generalized finite element method. International Journal for Numerical Methods in Engineering, 55(12): 1477-1492, 2002.
    • (2002) International Journal for Numerical Methods in Engineering , vol.55 , Issue.12 , pp. 1477-1492
    • Duarte, C.A.1    Babuška, I.2
  • 15
    • 17544389134 scopus 로고    scopus 로고
    • Generalized finite element methods for three dimensional structural mechanics problems
    • C. A. Duarte, I. Babuška, and J. T. Oden. Generalized finite element methods for three dimensional structural mechanics problems. Computers and Structures, 77: 215-232, 2000.
    • (2000) Computers and Structures , vol.77 , pp. 215-232
    • Duarte, C.A.1    Babuška, I.2    Oden, J.T.3
  • 20
    • 0034969881 scopus 로고    scopus 로고
    • A particle-partition of unity method for the solution of elliptic, parabolic and hyperbolic PDEs
    • M. Griebel and M. A. Schweitzer. A particle-partition of unity method for the solution of elliptic, parabolic and hyperbolic PDEs. SIAM Journal Scientific Computing, 22(3): 853-890, 2000.
    • (2000) SIAM Journal Scientific Computing , vol.22 , Issue.3 , pp. 853-890
    • Griebel, M.1    Schweitzer, M.A.2
  • 22
    • 0031161210 scopus 로고    scopus 로고
    • A multiscale finite element method for elliptic problems in composite materials and porous media
    • T. Y. Hou and X.-H. Wu. A multiscale finite element method for elliptic problems in composite materials and porous media. Journal of Computational Physics, 134: 169-189, 1997.
    • (1997) Journal of Computational Physics , vol.134 , pp. 169-189
    • Hou, T.Y.1    Wu, X.-H.2
  • 23
    • 84966237423 scopus 로고
    • Surfaces generated by moving least squares methods
    • P. Lancaster and K. Salkauskas. Surfaces generated by moving least squares methods. Mathematics of Computation, 37(155): 141-158, 1981.
    • (1981) Mathematics of Computation , vol.37 , Issue.155 , pp. 141-158
    • Lancaster, P.1    Salkauskas, K.2
  • 27
  • 29
    • 0022900583 scopus 로고
    • Global-local methodologies and their applications to nonlinear analysis
    • A. K. Noor. Global-local methodologies and their applications to nonlinear analysis. Finite Elements in Analysis and Design, 2: 333-346, 1986.
    • (1986) Finite Elements in Analysis and Design , vol.2 , pp. 333-346
    • Noor, A.K.1
  • 37
    • 0033904722 scopus 로고    scopus 로고
    • The generalized finite element method: An example of its implementation and illustration of its performance
    • T. Strouboulis, K. Copps, and I. Babuška. The generalized finite element method: An example of its implementation and illustration of its performance. International Journal for Numerical Methods in Engineering, 47(8): 1401-1417, 2000.
    • (2000) International Journal for Numerical Methods in Engineering , vol.47 , Issue.8 , pp. 1401-1417
    • Strouboulis, T.1    Copps, K.2    Babuška, I.3
  • 39
    • 0043157619 scopus 로고    scopus 로고
    • Generalized finite element method using meshbased handbooks: Application to problems in domains with many voids
    • T. Strouboulis, L. Zhang, and I. Babuška. Generalized finite element method using meshbased handbooks: Application to problems in domains with many voids. Computer Methods in Applied Mechanics and Engineering, 192: 3109-3161, 2003.
    • (2003) Computer Methods in Applied Mechanics and Engineering , vol.192 , pp. 3109-3161
    • Strouboulis, T.1    Zhang, L.2    Babuška, I.3
  • 44
    • 0031123591 scopus 로고    scopus 로고
    • The elastic-plastic finite element alternating method (EPFEAM) and the prediction of fracture underWFD conditions in aircraft structures
    • L. Wang, F. W. Brust, and S. N. Atluri. The elastic-plastic finite element alternating method (EPFEAM) and the prediction of fracture underWFD conditions in aircraft structures. Computational Mechanics, 19: 356-369, 1997.
    • (1997) Computational Mechanics , vol.19 , pp. 356-369
    • Wang, L.1    Brust, F.W.2    Atluri, S.N.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.