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Volumn 33, Issue 4-5, 2007, Pages 425-438

Stress concentration minimization of 2D filets using X-FEM and level set description

Author keywords

Level set; Shape optimization; Topology optimization; X FEM

Indexed keywords

COMPUTATION THEORY; CURVE FITTING; FINITE ELEMENT METHOD; STRESSES;

EID: 33847662408     PISSN: 1615147X     EISSN: 16151488     Source Type: Journal    
DOI: 10.1007/s00158-006-0091-1     Document Type: Article
Times cited : (130)

References (36)
  • 1
    • 5144229852 scopus 로고    scopus 로고
    • Topology optimization for minimum stress design with the homogenization method
    • Allaire G, Jouve F, Maillot H (2004) Topology optimization for minimum stress design with the homogenization method. Struct Multidiscipl Optim 28(2-3):87-98
    • (2004) Struct Multidiscipl Optim , vol.28 , Issue.2-3 , pp. 87-98
    • Allaire, G.1    Jouve, F.2    Maillot, H.3
  • 2
    • 0842290715 scopus 로고    scopus 로고
    • Structural optimization using sensitivity analysis and a level-set method
    • Allaire G, Jouve F, Toader AM (2004) Structural optimization using sensitivity analysis and a level-set method. J Comput Phys 194(1):363-393
    • (2004) J Comput Phys , vol.194 , Issue.1 , pp. 363-393
    • Allaire, G.1    Jouve, F.2    Toader, A.M.3
  • 4
    • 0037469442 scopus 로고    scopus 로고
    • Structured extended finite element methods for solids defined by implicit surfaces
    • Belytschko T, Parimi C, Moës N, Sukumar N, Usui S (2003) Structured extended finite element methods for solids defined by implicit surfaces. Int J Numer Methods Eng 56:609-635
    • (2003) Int J Numer Methods Eng , vol.56 , pp. 609-635
    • Belytschko, T.1    Parimi, C.2    Moës, N.3    Sukumar, N.4    Usui, S.5
  • 5
    • 0038036297 scopus 로고    scopus 로고
    • Topology optimization with implicit functions and regularization
    • Belytschko T, Xiao SP, Parimi C (2003) Topology optimization with implicit functions and regularization. Int J Numer Methods Eng 57:1177-1196
    • (2003) Int J Numer Methods Eng , vol.57 , pp. 1177-1196
    • Belytschko, T.1    Xiao, S.P.2    Parimi, C.3
  • 6
    • 0024105011 scopus 로고
    • Generating optimal topologies in structural design using a homogenization method
    • Bendsøe MP, Kikuchi N (1988) Generating optimal topologies in structural design using a homogenization method. Comput Methods Appl Mech Eng 71(2):197-224
    • (1988) Comput Methods Appl Mech Eng , vol.71 , Issue.2 , pp. 197-224
    • Bendsøe, M.P.1    Kikuchi, N.2
  • 7
    • 0022027475 scopus 로고
    • Structural shape optimization with geometric description and adaptive mesh refinement
    • Bennet JA, Botkin E (1985) Structural shape optimization with geometric description and adaptive mesh refinement. AIAA J 23(3):458-464
    • (1985) AIAA J , vol.23 , Issue.3 , pp. 458-464
    • Bennet, J.A.1    Botkin, E.2
  • 9
    • 0037235883 scopus 로고    scopus 로고
    • Chessa J, Belytschko T (2003) An extended finite element method for two-phase fluids. J Appl Mech 70:10-1.7
    • Chessa J, Belytschko T (2003) An extended finite element method for two-phase fluids. J Appl Mech 70:10-1.7
  • 10
    • 33847625714 scopus 로고    scopus 로고
    • Dankova J, Haslinger J (1996) Numerical realization of a fictitious domain approach used in shape optimization. Part I distributed controls. Appl Math 41:123-147
    • Dankova J, Haslinger J (1996) Numerical realization of a fictitious domain approach used in shape optimization. Part I distributed controls. Appl Math 41:123-147
  • 11
    • 0034734147 scopus 로고    scopus 로고
    • Arbitrary branched and intersecting cracks with the extended finite element method
    • Daux C, Moës N, Dolbow J, Sukumar N, Belytschko T (2000) Arbitrary branched and intersecting cracks with the extended finite element method. Int J Numer Methods Eng 48:1741-1760
    • (2000) Int J Numer Methods Eng , vol.48 , pp. 1741-1760
    • Daux, C.1    Moës, N.2    Dolbow, J.3    Sukumar, N.4    Belytschko, T.5
  • 12
    • 0022915273 scopus 로고
    • Shape optimization of structures: A literature survey
    • Ding Y (1986) Shape optimization of structures: a literature survey. Comput Struct 24(4):985-1004
    • (1986) Comput Struct , vol.24 , Issue.4 , pp. 985-1004
    • Ding, Y.1
  • 13
    • 0032297726 scopus 로고    scopus 로고
    • Control of local stresses in topology optimization of continuum structures
    • Duysinx P, Bendsøe MP (1998) Control of local stresses in topology optimization of continuum structures. Int J Numer Methods Eng 43:1453-1478
    • (1998) Int J Numer Methods Eng , vol.43 , pp. 1453-1478
    • Duysinx, P.1    Bendsøe, M.P.2
  • 15
    • 0001978484 scopus 로고
    • Conlin: An efficient dual optimizer based on convex approximation concepts
    • Fleury C (1989) Conlin: an efficient dual optimizer based on convex approximation concepts. Struct Multidiscipl Optim 1:81-89
    • (1989) Struct Multidiscipl Optim , vol.1 , pp. 81-89
    • Fleury, C.1
  • 16
    • 21244477228 scopus 로고    scopus 로고
    • Étude des possibilités de la méthode X-FEM pour la simulation numérique de la coupe
    • Guétari Y, Le Corre S, Moës N (2005) Étude des possibilités de la méthode X-FEM pour la simulation numérique de la coupe. Mécanique et Industries 6:315-319
    • (2005) Mécanique et Industries , vol.6 , pp. 315-319
    • Guétari, Y.1    Le Corre, S.2    Moës, N.3
  • 18
    • 0037297280 scopus 로고    scopus 로고
    • Improving efficiency of evolutionary structural optimization by implementing fixed grid mesh
    • Kim H, Querin OM, Steven GP, Xie YM (2002) Improving efficiency of evolutionary structural optimization by implementing fixed grid mesh. Struct Multidiscipl Optim 24:441-448
    • (2002) Struct Multidiscipl Optim , vol.24 , pp. 441-448
    • Kim, H.1    Querin, O.M.2    Steven, G.P.3    Xie, Y.M.4
  • 19
    • 0033349534 scopus 로고    scopus 로고
    • A finite element method for crack growth without remeshing
    • Moës N, Dolbow J, Belytschko T (1999) A finite element method for crack growth without remeshing. Int J Numer Methods Eng 46:131-150
    • (1999) Int J Numer Methods Eng , vol.46 , pp. 131-150
    • Moës, N.1    Dolbow, J.2    Belytschko, T.3
  • 20
    • 0037140062 scopus 로고    scopus 로고
    • Non-planar 3d crack growth by the extended finite element and level sets - part i: Mechanical model
    • Moës N, Gravouil A, Belytschko T (2002) Non-planar 3d crack growth by the extended finite element and level sets - part i: mechanical model. Int J Numer Methods Eng 53:2549-2568
    • (2002) Int J Numer Methods Eng , vol.53 , pp. 2549-2568
    • Moës, N.1    Gravouil, A.2    Belytschko, T.3
  • 24
    • 44749084234 scopus 로고
    • Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
    • Osher S, Sethian JA (1988) Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations. J Comput Phys 79:12-49
    • (1988) J Comput Phys , vol.79 , pp. 12-49
    • Osher, S.1    Sethian, J.A.2
  • 25
    • 0034182181 scopus 로고    scopus 로고
    • On optimal shapes in materials and structures
    • Pedersen P (2000) On optimal shapes in materials and structures. Struct Optim 19(3):169-182
    • (2000) Struct Optim , vol.19 , Issue.3 , pp. 169-182
    • Pedersen, P.1
  • 27
    • 0020305190 scopus 로고
    • Design for minimum stress concentration by finite element and linear programming
    • Pedersen P, Laursen C (1983) Design for minimum stress concentration by finite element and linear programming. J Struct Mech 10(4):375-391
    • (1983) J Struct Mech , vol.10 , Issue.4 , pp. 375-391
    • Pedersen, P.1    Laursen, C.2
  • 28
    • 1142300425 scopus 로고    scopus 로고
    • Topology optimization of continuum structures with material failure constraints
    • Pereira J, Fancello E, Barcellos D (2004) Topology optimization of continuum structures with material failure constraints. Struct Multidiscipl Optim 26(1-2):50-66
    • (2004) Struct Multidiscipl Optim , vol.26 , Issue.1-2 , pp. 50-66
    • Pereira, J.1    Fancello, E.2    Barcellos, D.3
  • 30
    • 0030406317 scopus 로고    scopus 로고
    • Some shortcomings in Michell's truss theory
    • Rozvany GIN (1996) Some shortcomings in Michell's truss theory. Struct Optim 12: 44-250
    • (1996) Struct Optim , vol.12 , pp. 44-250
    • Rozvany, G.I.N.1
  • 31
    • 0032681559 scopus 로고    scopus 로고
    • On the topological derivative in shape optimization
    • Sokolowski J, Zochowski A (1999) On the topological derivative in shape optimization. SIAM J Control Optim 37(4):1251-1272
    • (1999) SIAM J Control Optim , vol.37 , Issue.4 , pp. 1251-1272
    • Sokolowski, J.1    Zochowski, A.2
  • 32
    • 0035860267 scopus 로고    scopus 로고
    • Modeling holes and inclusions by level sets in the extended finite-element method
    • Sukumar N, Chopp DL, Moes N, Belytschko T (2001) Modeling holes and inclusions by level sets in the extended finite-element method. Comput Methods Appl Mech Eng 190:6183-6200
    • (2001) Comput Methods Appl Mech Eng , vol.190 , pp. 6183-6200
    • Sukumar, N.1    Chopp, D.L.2    Moes, N.3    Belytschko, T.4
  • 34
    • 33847633708 scopus 로고    scopus 로고
    • Van Miegroet L, Lemaire E, Jacobs T, Dusyinx P (2006) Stress constrained optimization using X-FEM and level set description. In: Mota Soares CA (ed)Proceeding of 3rd European Conference on Computational Mechanics. Shape and topological sensitivity analysis: theory and applications. Lisbon, Portugal
    • Van Miegroet L, Lemaire E, Jacobs T, Dusyinx P (2006) Stress constrained optimization using X-FEM and level set description. In: Mota Soares CA (ed)Proceeding of 3rd European Conference on Computational Mechanics. Shape and topological sensitivity analysis: theory and applications. Lisbon, Portugal
  • 35
    • 0037414968 scopus 로고    scopus 로고
    • A level set method for structural topology optimization
    • Wang MY, Wang X, Guo D (2003) A level set method for structural topology optimization. Comput Methods Appl Mech Eng 192:227-246
    • (2003) Comput Methods Appl Mech Eng , vol.192 , pp. 227-246
    • Wang, M.Y.1    Wang, X.2    Guo, D.3
  • 36
    • 34249834331 scopus 로고
    • A systematic approach for generating velocity fields in shape optimization
    • Zhang S, Belegundu AD (1992) A systematic approach for generating velocity fields in shape optimization. Struct Multidiscipl Optim 5(1-2)
    • (1992) Struct Multidiscipl Optim , vol.5 , Issue.1-2
    • Zhang, S.1    Belegundu, A.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.