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Volumn 7, Issue 4, 2012, Pages 335-356

XFEM schemes for level set based structural optimization

Author keywords

computational accuracy and efficiency; extended finite element method (XFEM); level set method; structural optimization

Indexed keywords


EID: 84876513639     PISSN: 20950233     EISSN: 20950241     Source Type: Journal    
DOI: 10.1007/s11465-012-0351-2     Document Type: Article
Times cited : (32)

References (42)
  • 1
    • 0024105011 scopus 로고
    • Generating optimal topologies in structural design using a homogenization method
    • Bendsoe M P, Kikuchi N. Generating optimal topologies in structural design using a homogenization method. Computer Methods in Applied Mechanics and Engineering, 1988, 71(2): 197-224.
    • (1988) Computer Methods in Applied Mechanics and Engineering , vol.71 , Issue.2 , pp. 197-224
    • Bendsoe, M.P.1    Kikuchi, N.2
  • 2
    • 0001695416 scopus 로고
    • Optimal shape design as a material distribution problem
    • Bendsoe M P. Optimal shape design as a material distribution problem. Structural Optimization, 1989, 1(4): 193-202.
    • (1989) Structural Optimization , vol.1 , Issue.4 , pp. 193-202
    • Bendsoe, M.P.1
  • 3
    • 0027908013 scopus 로고
    • A simple evolutionary procedure for structural optimization
    • Xie Y M, Steven G P. A simple evolutionary procedure for structural optimization. Computers & Structures, 1993, 49(5): 885-896.
    • (1993) Computers & Structures , vol.49 , Issue.5 , pp. 885-896
    • Xie, Y.M.1    Steven, G.P.2
  • 5
    • 0001176192 scopus 로고    scopus 로고
    • Structural boundary design via level set and immersed interface methods
    • Sethian J A, Wiegmann A. Structural boundary design via level set and immersed interface methods. Journal of Computational Physics, 2000, 163(2): 489-528.
    • (2000) Journal of Computational Physics , vol.163 , Issue.2 , pp. 489-528
    • Sethian, J.A.1    Wiegmann, A.2
  • 7
    • 0842290715 scopus 로고    scopus 로고
    • Structural optimization using sensitivity analysis and a level-set method
    • Allaire G, Jouve F, Toader A M. Structural optimization using sensitivity analysis and a level-set method. Journal of Computational Physics, 2004, 194(1): 363-393.
    • (2004) Journal of Computational Physics , vol.194 , Issue.1 , pp. 363-393
    • Allaire, G.1    Jouve, F.2    Toader, A.M.3
  • 8
    • 21144455261 scopus 로고    scopus 로고
    • Structure topology optimization: fully coupled level set method via FEMLAB
    • Liu Z, Korvink J G, Huang R. Structure topology optimization: fully coupled level set method via FEMLAB. Structural Multidisciplinary Optimization, 2005, 29(6): 407-417.
    • (2005) Structural Multidisciplinary Optimization , vol.29 , Issue.6 , pp. 407-417
    • Liu, Z.1    Korvink, J.G.2    Huang, R.3
  • 9
    • 13444304292 scopus 로고    scopus 로고
    • Sensitivity analysis for fixed-grid shape optimization by using oblique boundary curve approximation
    • Jang G W, Kim Y Y. Sensitivity analysis for fixed-grid shape optimization by using oblique boundary curve approximation. International Journal of Solids and Structures, 2005, 42(11, 12): 3591-3609.
    • (2005) International Journal of Solids and Structures , vol.42 , Issue.1112 , pp. 3591-3609
    • Jang, G.W.1    Kim, Y.Y.2
  • 10
    • 0027110443 scopus 로고
    • The S-version of finite element method
    • Fish J. The S-version of finite element method. Computers & Structures, 1992, 43(3): 539-547.
    • (1992) Computers & Structures , vol.43 , Issue.3 , pp. 539-547
    • Fish, J.1
  • 12
    • 33644844464 scopus 로고    scopus 로고
    • A moving superimposed finite element method for structural topology optimization
    • Wang S Y, Wang M Y. A moving superimposed finite element method for structural topology optimization. International Journal for Numerical Methods in Engineering, 2006, 65(11): 1892-1922.
    • (2006) International Journal for Numerical Methods in Engineering , vol.65 , Issue.11 , pp. 1892-1922
    • Wang, S.Y.1    Wang, M.Y.2
  • 19
    • 33847662408 scopus 로고    scopus 로고
    • Stress concentration minimization of 2DFilets using X-FEM and level set description
    • van Miegroet L, Duysinx P. Stress concentration minimization of 2DFilets using X-FEM and level set description. Structural and Multidisciplinary Optimization, 2007, 33(4-5): 425-438.
    • (2007) Structural and Multidisciplinary Optimization , vol.33 , Issue.4-5 , pp. 425-438
    • van Miegroet, L.1    Duysinx, P.2
  • 22
    • 77953963129 scopus 로고    scopus 로고
    • A study on X-FEM in continuum structural optimization using level set model
    • Wei P, Wang M Y, Xing X H. A study on X-FEM in continuum structural optimization using level set model. Computer Aided Design, 2010, 42(8): 708-719.
    • (2010) Computer Aided Design , vol.42 , Issue.8 , pp. 708-719
    • Wei, P.1    Wang, M.Y.2    Xing, X.H.3
  • 23
    • 33646174247 scopus 로고    scopus 로고
    • On the elimination of quadrature sub-cells for discontinuous functions in the eXtended Finite Element Method
    • Ventura G. On the elimination of quadrature sub-cells for discontinuous functions in the eXtended Finite Element Method. International Journal for Numerical Methods in Engineering, 2006, 66(5): 761-795.
    • (2006) International Journal for Numerical Methods in Engineering , vol.66 , Issue.5 , pp. 761-795
    • Ventura, G.1
  • 24
    • 77954295724 scopus 로고    scopus 로고
    • Integrating strong and weak discontinuities without integration sub-cells and example applications in an XFEM/GFEM framework
    • Natarajan S, Mahapatra D R, Bordas S P. Integrating strong and weak discontinuities without integration sub-cells and example applications in an XFEM/GFEM framework. International Journal for Numerical Methods in Engineering, 2010, 83: 269-294.
    • (2010) International Journal for Numerical Methods in Engineering , vol.83 , pp. 269-294
    • Natarajan, S.1    Mahapatra, D.R.2    Bordas, S.P.3
  • 27
    • 0037138420 scopus 로고    scopus 로고
    • Simulating the propagation of displacement discontinuities in a regularized strain-softening medium
    • Wells G N, Sluys L J, de Borst R. Simulating the propagation of displacement discontinuities in a regularized strain-softening medium. International Journal for Numerical Methods in Engineering, 2002, 53(5): 1235-1256.
    • (2002) International Journal for Numerical Methods in Engineering , vol.53 , Issue.5 , pp. 1235-1256
    • Wells, G.N.1    Sluys, L.J.2    de Borst, R.3
  • 28
    • 0038601916 scopus 로고    scopus 로고
    • An extended finite element method with higher order elements for curved cracks
    • Stazi F L, Budyn E, Chessa J, Belytschko T. An extended finite element method with higher order elements for curved cracks. Computational Mechanics, 2003, 31(1-2): 38-48.
    • (2003) Computational Mechanics , vol.31 , Issue.1-2 , pp. 38-48
    • Stazi, F.L.1    Budyn, E.2    Chessa, J.3    Belytschko, T.4
  • 33
    • 78650831150 scopus 로고    scopus 로고
    • The extended/generalized finite element method: An overview of the method and its applications
    • Fries T P, Belytschko T. The extended/generalized finite element method: An overview of the method and its applications. International Journal for Numerical Methods in Engineering, 2010, 84: 253-304.
    • (2010) International Journal for Numerical Methods in Engineering , vol.84 , pp. 253-304
    • Fries, T.P.1    Belytschko, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.