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Volumn 72, Issue 12, 2007, Pages 1452-1489

CAD inspired hierarchical partition of unity constructions for NURBS-based, meshless design, analysis and optimization

Author keywords

CAD; CSG; Meshless methods; NURBS; Partition of unity; Shape optimization; Topology optimization

Indexed keywords

BOOLEAN FUNCTIONS; COMPUTER AIDED DESIGN; CRACKS; JAVA PROGRAMMING LANGUAGE; SHAPE OPTIMIZATION; STRESS INTENSITY FACTORS;

EID: 37249045476     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.2046     Document Type: Article
Times cited : (35)

References (60)
  • 2
    • 0034517042 scopus 로고    scopus 로고
    • NURBS-based solutions to inverse boundary problems in droplet shape prediction
    • Renken FP, Subbarayan G. NURBS-based solutions to inverse boundary problems in droplet shape prediction. Computer Methods in Applied Mechanics and Engineering 2000; 190(11-12):1391-1406.
    • (2000) Computer Methods in Applied Mechanics and Engineering , vol.190 , Issue.11-12 , pp. 1391-1406
    • Renken, F.P.1    Subbarayan, G.2
  • 4
    • 0032297846 scopus 로고    scopus 로고
    • An approach to modeling and representation of heterogeneous objects
    • Kumar V, Dutta D. An approach to modeling and representation of heterogeneous objects. Journal of Mechanical Design (ASME) 1998; 120:659-667.
    • (1998) Journal of Mechanical Design (ASME , vol.120 , pp. 659-667
    • Kumar, V.1    Dutta, D.2
  • 6
    • 6344252883 scopus 로고    scopus 로고
    • Feature based design and material blending for free-form heterogeneous object modeling
    • Samanta K, Koc B. Feature based design and material blending for free-form heterogeneous object modeling. Computer-Aided Design 2005; 37:287-305.
    • (2005) Computer-Aided Design , vol.37 , pp. 287-305
    • Samanta, K.1    Koc, B.2
  • 8
    • 0036027368 scopus 로고    scopus 로고
    • Source-based heterogeneous solid modeling
    • Siu YK, Tan ST. Source-based heterogeneous solid modeling. Computer-Aided Design 2002; 34:41-55.
    • (2002) Computer-Aided Design , vol.34 , pp. 41-55
    • Siu, Y.K.1    Tan, S.T.2
  • 9
    • 0032794921 scopus 로고    scopus 로고
    • Modeling and designing functionally graded material components for fabrication with local composition control
    • Jackson TR, Liu H, Patrikalakis NM, Sachs EM, Cima MJ. Modeling and designing functionally graded material components for fabrication with local composition control. Materials and Design 1999; 20:63-75.
    • (1999) Materials and Design , vol.20 , pp. 63-75
    • Jackson, T.R.1    Liu, H.2    Patrikalakis, N.M.3    Sachs, E.M.4    Cima, M.J.5
  • 11
    • 0000905135 scopus 로고    scopus 로고
    • Topology optimization of continuum structures: A review
    • Eschenauer HA, Olhoff N. Topology optimization of continuum structures: a review. Applied Mechanics Reviews 2001; 54(4):331-389.
    • (2001) Applied Mechanics Reviews , vol.54 , Issue.4 , pp. 331-389
    • Eschenauer, H.A.1    Olhoff, N.2
  • 12
    • 0030080761 scopus 로고    scopus 로고
    • A new approach to variable topology shape design using a constraint on the perimeter
    • Haber RB, Jog CS, Bendsoe MP. A new approach to variable topology shape design using a constraint on the perimeter. Structural Optimization 1996; 11(1):1-12.
    • (1996) Structural Optimization , vol.11 , Issue.1 , pp. 1-12
    • Haber, R.B.1    Jog, C.S.2    Bendsoe, M.P.3
  • 13
    • 0035896055 scopus 로고    scopus 로고
    • Topology optimization of nonlinear elastic structures and compliant mechanisms
    • Bruns TE, Tortorelli DA. Topology optimization of nonlinear elastic structures and compliant mechanisms. Computer Methods in Applied Mechanics and Engineering 2001; 190(26-27):3443-3459.
    • (2001) Computer Methods in Applied Mechanics and Engineering , vol.190 , Issue.26-27 , pp. 3443-3459
    • Bruns, T.E.1    Tortorelli, D.A.2
  • 14
  • 19
    • 0000476444 scopus 로고    scopus 로고
    • Design sensitivity analysis for hyperelastic structures using a meshless method
    • Grindeanu I, Chang KH, Choi KK, Chen JS. Design sensitivity analysis for hyperelastic structures using a meshless method. AJAA Journal 1998; 36(4):618-627.
    • (1998) AJAA Journal , vol.36 , Issue.4 , pp. 618-627
    • Grindeanu, I.1    Chang, K.H.2    Choi, K.K.3    Chen, J.S.4
  • 20
    • 0035843797 scopus 로고    scopus 로고
    • Shape sensitivity analysis and shape optimization in planar elasticity using the element-free Galerkin method
    • Bobaru F, Mukherjee S. Shape sensitivity analysis and shape optimization in planar elasticity using the element-free Galerkin method. Computer Methods in Applied Mechanics and Engineering 2001; 190:4319-4337.
    • (2001) Computer Methods in Applied Mechanics and Engineering , vol.190 , pp. 4319-4337
    • Bobaru, F.1    Mukherjee, S.2
  • 22
    • 1442284701 scopus 로고    scopus 로고
    • Constructive solid analysis: A hierarchical, geometry-based meshless analysis procedure for integrated design and analysis
    • Natekar D, Zhang X, Subbarayan G. Constructive solid analysis: a hierarchical, geometry-based meshless analysis procedure for integrated design and analysis. Computer-Aided Design 2004; 36:473-486.
    • (2004) Computer-Aided Design , vol.36 , pp. 473-486
    • Natekar, D.1    Zhang, X.2    Subbarayan, G.3
  • 25
    • 31044442921 scopus 로고    scopus 로고
    • jNURBS: An object-oriented, symbolic framework for integrated, meshless analysis and optimal design
    • Zhang X, Subbarayan G. jNURBS: an object-oriented, symbolic framework for integrated, meshless analysis and optimal design. Advances in Engineering Software 2006; 37(5):287-311.
    • (2006) Advances in Engineering Software , vol.37 , Issue.5 , pp. 287-311
    • Zhang, X.1    Subbarayan, G.2
  • 32
    • 0042534214 scopus 로고
    • Constructive solid geometry
    • Technical Report 25 Production Automation Project, University of Rochester, Rochester, New York
    • Requicha. AAG, Voelcker GB. Constructive solid geometry. Technical Report 25 (Production Automation Project), University of Rochester, Rochester, New York, 1977.
    • (1977)
    • Requicha, A.A.G.1    Voelcker, G.B.2
  • 33
    • 0019284740 scopus 로고
    • Representation for rigid solids: Theory, methods, and systems
    • Requicha. AAG. Representation for rigid solids: theory, methods, and systems. Computing Surveys 1980; 12(4): 437-460.
    • (1980) Computing Surveys , vol.12 , Issue.4 , pp. 437-460
    • Requicha, A.A.G.1
  • 36
    • 0032624422 scopus 로고    scopus 로고
    • Numerical integration of the Galerkin weak form in meshfree methods
    • Dolbow J, Belytschko T. Numerical integration of the Galerkin weak form in meshfree methods. Computational Mechanics 1999; 23:219-230.
    • (1999) Computational Mechanics , vol.23 , pp. 219-230
    • Dolbow, J.1    Belytschko, T.2
  • 38
    • 0032136132 scopus 로고    scopus 로고
    • A new meshless Petrov-Galerkin (MLPG) approach in computational mechanics
    • Atluri SN, Zhu T. A new meshless Petrov-Galerkin (MLPG) approach in computational mechanics. Computational Mechanics 1998; 22:117-227.
    • (1998) Computational Mechanics , vol.22 , pp. 117-227
    • Atluri, S.N.1    Zhu, T.2
  • 39
    • 0035727235 scopus 로고    scopus 로고
    • Topology optimization of compliant mechanisms with multiple materials using a peak function material interpolation scheme
    • Yin L, Ananthasuresh GK. Topology optimization of compliant mechanisms with multiple materials using a peak function material interpolation scheme. Structural Multidisciplinary Optimization 2001; 23:49-62.
    • (2001) Structural Multidisciplinary Optimization , vol.23 , pp. 49-62
    • Yin, L.1    Ananthasuresh, G.K.2
  • 40
    • 0001176192 scopus 로고    scopus 로고
    • Structural boundary design via level set and immersed interface methods
    • Sethian JA, 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
  • 46
    • 17744396329 scopus 로고    scopus 로고
    • Critical issues for functionally graded material deposition by Laser Engineered Net Shaping (LENS®)
    • San Antonio, TX
    • Ensz MT, Griffith ML. Critical issues for functionally graded material deposition by Laser Engineered Net Shaping (LENS®). Proceedings of the 2002 MPIF Laser Metal Deposition Conference, San Antonio, TX, 2002.
    • (2002) Proceedings of the 2002 MPIF Laser Metal Deposition Conference
    • Ensz, M.T.1    Griffith, M.L.2
  • 47
    • 0031076547 scopus 로고    scopus 로고
    • Topology design of material layout in structured composites of high stiffness and strength
    • Swan CC, Arora JS. Topology design of material layout in structured composites of high stiffness and strength. Structural Optimization 1997; 13:45-59.
    • (1997) Structural Optimization , vol.13 , pp. 45-59
    • Swan, C.C.1    Arora, J.S.2
  • 48
    • 0031212962 scopus 로고    scopus 로고
    • Voigt-Reuss topology optimization for structures with linear elastic material behaviours
    • Swan CC, Kosaka I. Voigt-Reuss topology optimization for structures with linear elastic material behaviours. International Journal for Numerical Methods in Engineering 1997; 40:3033-3057.
    • (1997) International Journal for Numerical Methods in Engineering , vol.40 , pp. 3033-3057
    • Swan, C.C.1    Kosaka, I.2
  • 49
    • 0003315567 scopus 로고    scopus 로고
    • Numerical Methods for Unconstrained Optimization and Nonlinear Equations
    • SIAM: Philadelphia, PA
    • Dennis JE, Schnabel RB. Numerical Methods for Unconstrained Optimization and Nonlinear Equations. Classics in Applied Mathematics. SIAM: Philadelphia, PA, 1996.
    • (1996) Classics in Applied Mathematics
    • Dennis, J.E.1    Schnabel, R.B.2
  • 53
    • 0036522535 scopus 로고    scopus 로고
    • Shape optimization of fillets by the boundary element method
    • Parvizian J, Fenner R. Shape optimization of fillets by the boundary element method. Journal of Strain Analysis 2002; 37(2):93-100.
    • (2002) Journal of Strain Analysis , vol.37 , Issue.2 , pp. 93-100
    • Parvizian, J.1    Fenner, R.2
  • 54
    • 0342520886 scopus 로고    scopus 로고
    • Discontinuous enrichment in finite elements with a partition of unity method
    • Dolbow J, Moes N, Belytschko T. Discontinuous enrichment in finite elements with a partition of unity method. Finite Element in Analysis and Design 2000; 36(3):235-260.
    • (2000) Finite Element in Analysis and Design , vol.36 , Issue.3 , pp. 235-260
    • Dolbow, J.1    Moes, N.2    Belytschko, T.3
  • 58
    • 0037532486 scopus 로고    scopus 로고
    • Topology and shape optimization of structural components with fracture constraints
    • Wilczynski B, Mroz Z. Topology and shape optimization of structural components with fracture constraints. Computer Assisted Mechanics and Engineering Sciences 2003; 10(2):239-257.
    • (2003) Computer Assisted Mechanics and Engineering Sciences , vol.10 , Issue.2 , pp. 239-257
    • Wilczynski, B.1    Mroz, Z.2
  • 59
    • 0036722840 scopus 로고    scopus 로고
    • Structural optimisation with fracture strength constraints
    • Jones R, Chaperon P, Heller M. Structural optimisation with fracture strength constraints. Engineering Fracture Mechanics 2002; 69(13):1403-1423.
    • (2002) Engineering Fracture Mechanics , vol.69 , Issue.13 , pp. 1403-1423
    • Jones, R.1    Chaperon, P.2    Heller, M.3
  • 60
    • 10044240719 scopus 로고    scopus 로고
    • Design study of hole positions and hole shapes for crack tip stress releasing
    • Pedersen P. Design study of hole positions and hole shapes for crack tip stress releasing. Structural and Multidisciplinary Optimization 2004; 28(4):243-251.
    • (2004) Structural and Multidisciplinary Optimization , vol.28 , Issue.4 , pp. 243-251
    • Pedersen, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.