메뉴 건너뛰기




Volumn 45, Issue 4, 2006, Pages 1447-1466

Phase-field relaxation of topology optimization with local stress constraints

Author keywords

Interior point methods; Local stress constraints; One shot methods; Phase field methods; Topology optimization

Indexed keywords

MATHEMATICAL PROGRAMMING; PARAMETER ESTIMATION; PROBLEM SOLVING; RELAXATION PROCESSES; ROBUSTNESS (CONTROL SYSTEMS); STANDARDS; STRESS ANALYSIS;

EID: 33846686028     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/05062723X     Document Type: Article
Times cited : (153)

References (33)
  • 1
    • 0037905265 scopus 로고    scopus 로고
    • Variational models for phase transitions, an approach via T-convergence
    • L. Ambrosio, N. Dancer, G. Buttazzo, A. Marino, and M. K. V. Murthy, eds, Springer, Berlin
    • G. ALBERTI, Variational models for phase transitions, an approach via T-convergence, in Calculus of Variations and Partial Differential Equations, L. Ambrosio, N. Dancer, G. Buttazzo, A. Marino, and M. K. V. Murthy, eds., Springer, Berlin, 2000, pp. 95-114.
    • (2000) Calculus of Variations and Partial Differential Equations , pp. 95-114
    • ALBERTI, G.1
  • 3
    • 0842290715 scopus 로고    scopus 로고
    • Structural optimization using sensitivity analysis and a level-set method
    • G. ALLAIRE, F. JOUVE, AND A. M. TOADER, Structural optimization using sensitivity analysis and a level-set method, J. Comput. Phys., 194 (2004), pp. 363-393.
    • (2004) J. Comput. Phys , vol.194 , pp. 363-393
    • ALLAIRE, G.1    JOUVE, F.2    TOADER, A.M.3
  • 6
    • 0002482093 scopus 로고
    • A phase-field model with a double obstacle potential
    • G. Buttazzo and A. Visintin, eds, de Gruyter, Berlin
    • J. F. BLOWEY AND C. M. ELLIOTT, A phase-field model with a double obstacle potential, in Motion by Mean Curvature and Related Topics, G. Buttazzo and A. Visintin, eds., de Gruyter, Berlin, 1994, pp. 1-22.
    • (1994) Motion by Mean Curvature and Related Topics , pp. 1-22
    • BLOWEY, J.F.1    ELLIOTT, C.M.2
  • 7
    • 0035933349 scopus 로고    scopus 로고
    • Topology optimization using regularized intermediate density control
    • T. BORVALL AND J. PETERSSON, Topology optimization using regularized intermediate density control, Comput. Methods Appl. Mech. Engrg., 190 (2001), pp. 4911-4928.
    • (2001) Comput. Methods Appl. Mech. Engrg , vol.190 , pp. 4911-4928
    • BORVALL, T.1    PETERSSON, J.2
  • 8
    • 0035970370 scopus 로고    scopus 로고
    • Filters in topology optimization
    • B. BOURDIN, Filters in topology optimization, Internat. J. Numer. Methods Engrg., 50 (2001), pp. 2143-2158.
    • (2001) Internat. J. Numer. Methods Engrg , vol.50 , pp. 2143-2158
    • BOURDIN, B.1
  • 12
    • 23844524180 scopus 로고    scopus 로고
    • A survey on level set methods for inverse problems and optimal design
    • M. BURGER AND S. OSHER, A survey on level set methods for inverse problems and optimal design, European J. Appl. Math., 16 (2005), pp. 263-301.
    • (2005) European J. Appl. Math , vol.16 , pp. 263-301
    • BURGER, M.1    OSHER, S.2
  • 13
    • 0001512634 scopus 로고
    • Phase field computations of single-needle crystals, crystal growth, and motion by mean curvature
    • G. CAGINALP AND E. SOCOLOVSKY, Phase field computations of single-needle crystals, crystal growth, and motion by mean curvature, SIAM J. Sci. Comput., 15 (1994), pp. 106-126.
    • (1994) SIAM J. Sci. Comput , vol.15 , pp. 106-126
    • CAGINALP, G.1    SOCOLOVSKY, E.2
  • 14
    • 33746012315 scopus 로고
    • Free energy of a nonuniform system. I. Interfacial free energy
    • J. W. CAHN AND J. E. HILLIARD, Free energy of a nonuniform system. I. Interfacial free energy, J. Chem. Phys., 28 (1958), pp. 258-267.
    • (1958) J. Chem. Phys , vol.28 , pp. 258-267
    • CAHN, J.W.1    HILLIARD, J.E.2
  • 15
    • 0031150202 scopus 로고    scopus 로고
    • ε-relaxed approach in structural topology optimization
    • G. CHENG AND X. GUO, ε-relaxed approach in structural topology optimization, Struct. Multidisc. Optim., 13 (1997), pp. 258-266.
    • (1997) Struct. Multidisc. Optim , vol.13 , pp. 258-266
    • CHENG, G.1    GUO, X.2
  • 17
    • 0032297726 scopus 로고    scopus 로고
    • P. DUYSINX AND M. P. BENDSØE, Topology optimization of continuum structures with local stress constraints, Internat. J. Numer. Methods Engrg., 43 (1998), pp. 1453-1478.
    • P. DUYSINX AND M. P. BENDSØE, Topology optimization of continuum structures with local stress constraints, Internat. J. Numer. Methods Engrg., 43 (1998), pp. 1453-1478.
  • 18
    • 0000905135 scopus 로고    scopus 로고
    • Topology optimization of continuum structures: A review
    • H. A. ESCHENAUER AND N. OLHOFF, Topology optimization of continuum structures: A review, Appl. Mech. Rev., 54 (2001), pp. 331-390.
    • (2001) Appl. Mech. Rev , vol.54 , pp. 331-390
    • ESCHENAUER, H.A.1    OLHOFF, N.2
  • 19
    • 0030080761 scopus 로고    scopus 로고
    • A new approach to variable topology shape design using a constraint on perimeter
    • R. B. HABER, C S. JOG, AND M. P. BENDSOE, A new approach to variable topology shape design using a constraint on perimeter, Struct. Multidisc. Optim., 11 (1996), pp. 1-12.
    • (1996) Struct. Multidisc. Optim , vol.11 , pp. 1-12
    • HABER, R.B.1    JOG, C.S.2    BENDSOE, M.P.3
  • 20
    • 0034186238 scopus 로고    scopus 로고
    • Interior point multigrid methods for topology optimization
    • B. MAAR AND V. SCHULZ, Interior point multigrid methods for topology optimization, Struct. Multidisc. Optim., 19 (2000), pp. 214-224.
    • (2000) Struct. Multidisc. Optim , vol.19 , pp. 214-224
    • MAAR, B.1    SCHULZ, V.2
  • 21
    • 34250109116 scopus 로고
    • The gradient theory of phase transitions and the minimal interface criterion
    • L. MODICA, The gradient theory of phase transitions and the minimal interface criterion, Arch. Rational Mech. Anal. 98 (1987), pp. 123-142.
    • (1987) Arch. Rational Mech. Anal , vol.98 , pp. 123-142
    • MODICA, L.1
  • 22
    • 0000359194 scopus 로고
    • Un esempio di Γ-convergenza
    • L. MODICA AND S. MORTOLA, Un esempio di Γ-convergenza, Boll. Un. Mat. Ital. B(5), 14 (1977), pp. 285-299.
    • (1977) Boll. Un. Mat. Ital. B , vol.14 , Issue.5 , pp. 285-299
    • MODICA, L.1    MORTOLA, S.2
  • 23
    • 0032630565 scopus 로고    scopus 로고
    • Some convergence results in perimeter-controlled topology optimization
    • J. PETERSSON, Some convergence results in perimeter-controlled topology optimization, Comput. Methods Appl. Mech. Engrg., 171 (1999), pp. 123-140.
    • (1999) Comput. Methods Appl. Mech. Engrg , vol.171 , pp. 123-140
    • PETERSSON, J.1
  • 24
    • 0030170492 scopus 로고    scopus 로고
    • Difficulties in truss topology optimization with stress, local buckling and system stability constraints
    • G. I. N. ROZVANY, Difficulties in truss topology optimization with stress, local buckling and system stability constraints, Struct. Multidisc. Optim., 11 (1996), pp. 213-217.
    • (1996) Struct. Multidisc. Optim , vol.11 , pp. 213-217
    • ROZVANY, G.I.N.1
  • 25
    • 0035301747 scopus 로고    scopus 로고
    • On design-dependent constraints and singular topologies
    • G. I. N. ROZVANY, On design-dependent constraints and singular topologies, Struct. Multidisc. Optim., 21 (2001), pp. 164-172.
    • (2001) Struct. Multidisc. Optim , vol.21 , pp. 164-172
    • ROZVANY, G.I.N.1
  • 26
    • 0032137868 scopus 로고    scopus 로고
    • Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, mesh-dependencies, and local minima
    • O. SIGMUND AND J. PETERSSON, Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, mesh-dependencies, and local minima, Struct. Multidisc. Optim., 16 (1998), pp. 68-75.
    • (1998) Struct. Multidisc. Optim , vol.16 , pp. 68-75
    • SIGMUND, O.1    PETERSSON, J.2
  • 27
    • 32444445830 scopus 로고    scopus 로고
    • An adaptive multilevel approach to minimal compliance topology optimization
    • R. STAINKO, An adaptive multilevel approach to minimal compliance topology optimization, Comm. Numer. Methods Engrg., 22 (2006), pp. 109-118.
    • (2006) Comm. Numer. Methods Engrg , vol.22 , pp. 109-118
    • STAINKO, R.1
  • 28
    • 7044246096 scopus 로고    scopus 로고
    • Global optimization of minimum weight truss topology problems with stress, displacement, and local buckling constraints using branch-and-bound
    • M. STOLPE, Global optimization of minimum weight truss topology problems with stress, displacement, and local buckling constraints using branch-and-bound, Internat. J. Numer. Methods Engrg., 61 (2004), pp. 1270-1309.
    • (2004) Internat. J. Numer. Methods Engrg , vol.61 , pp. 1270-1309
    • STOLPE, M.1
  • 29
    • 0037360701 scopus 로고    scopus 로고
    • On the trajectories of the epsilon-relaxation approach for stressconstrained truss topology optimization
    • M. STOLPE AND K. SVANBERG, On the trajectories of the epsilon-relaxation approach for stressconstrained truss topology optimization, Struct. Multidisc. Optim., 25 (2003), pp. 62-64.
    • (2003) Struct. Multidisc. Optim , vol.25 , pp. 62-64
    • STOLPE, M.1    SVANBERG, K.2
  • 30
    • 0038608021 scopus 로고    scopus 로고
    • Modelling topology optimization problems as linear mixed 0-1 programs
    • M. STOLPE AND K. SVANBERG, Modelling topology optimization problems as linear mixed 0-1 programs, Internat. J. Numer. Methods Engrg., 57 (2003), pp. 723-739.
    • (2003) Internat. J. Numer. Methods Engrg , vol.57 , pp. 723-739
    • STOLPE, M.1    SVANBERG, K.2
  • 31
    • 0023287947 scopus 로고
    • The method of moving asymptotes - a new method for structural optimization
    • K. SVANBERG, The method of moving asymptotes - a new method for structural optimization, Internat. J. Numer. Methods Engrg., 24 (1987), pp. 359-373.
    • (1987) Internat. J. Numer. Methods Engrg , vol.24 , pp. 359-373
    • SVANBERG, K.1
  • 32
    • 29144523061 scopus 로고    scopus 로고
    • On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
    • A. WÄCHTER AND L. T. BIEGLER, On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming, Math. Program., 106 (2006), pp. 25-57.
    • (2006) Math. Program , vol.106 , pp. 25-57
    • WÄCHTER, A.1    BIEGLER, L.T.2
  • 33
    • 11144296378 scopus 로고    scopus 로고
    • Phase field: A variational method for structural topology optimization
    • M. Y. WANG AND S. W. ZHOU, Phase field: A variational method for structural topology optimization, CMES Comput. Model. Eng. Sci., 6 (2004), pp. 547-566.
    • (2004) CMES Comput. Model. Eng. Sci , vol.6 , pp. 547-566
    • WANG, M.Y.1    ZHOU, S.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.