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Volumn , Issue 9, 2003, Pages 19-48

Design-dependent loads in topology optimization

Author keywords

convergence; Design dependent loads; Diffuse interface method; Optimal design; Topology optimization

Indexed keywords

DESIGN DEPENDENT LOADS; DIFFUSE INTERFACE METHODS; OPTIMAL DESIGN;

EID: 20344397096     PISSN: 12928119     EISSN: 12623377     Source Type: Journal    
DOI: 10.1051/cocv:2002070     Document Type: Article
Times cited : (297)

References (40)
  • 1
    • 0037905265 scopus 로고    scopus 로고
    • Variational models for phase transitions, an approach via Γ-convergence
    • edited by G. Buttazzo et al. Springer-Verlag
    • G. Alberti, Variational models for phase transitions, an approach via Γ-convergence, in Calculus of Variations and Partial Differential Equations, edited by G. Buttazzo et al. Springer-Verlag (2000) 95-114.
    • (2000) Calculus of Variations and Partial Differential Equations , pp. 95-114
    • Alberti, G.1
  • 5
    • 0003513119 scopus 로고
    • Applicable Mathematics Series. Pitman (Advanced Publishing Program), Boston, Mass.-London
    • H. Attouch, Variational convergence for functions and operators. Applicable Mathematics Series. Pitman (Advanced Publishing Program), Boston, Mass.-London (1984).
    • (1984) Variational Convergence for Functions and Operators
    • Attouch, H.1
  • 6
    • 84935168793 scopus 로고
    • Minimal interface criterion for phase transitions in mixtures of Cahn-Hilliard fluids
    • S. Baldo, Minimal interface criterion for phase transitions in mixtures of Cahn-Hilliard fluids. Ann. Inst. H. Poincaré Anal. Non Linéaire 7 (1990) 67-90.
    • (1990) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.7 , pp. 67-90
    • Baldo, S.1
  • 7
    • 84973976275 scopus 로고
    • Anisotropic singular perturbations - The vectorial case
    • A.C. Barroso and I. Fonseca, Anisotropic singular perturbations - the vectorial case. Proc. Roy. Soc. Edinburgh Sect. A 124 (1994) 527-571.
    • (1994) Proc. Roy. Soc. Edinburgh Sect. A , vol.124 , pp. 527-571
    • Barroso, A.C.1    Fonseca, I.2
  • 9
    • 0001241926 scopus 로고    scopus 로고
    • Material interpolation schemes in topology optimization
    • M.P. Bendsøe and O. Sigmund, Material interpolation schemes in topology optimization. Arch. Appl. Mech. 69 (1999) 635-654.
    • (1999) Arch. Appl. Mech. , vol.69 , pp. 635-654
    • Bendsøe, M.P.1    Sigmund, O.2
  • 10
    • 0036551785 scopus 로고    scopus 로고
    • Computing the equilibrium configuration of epitaxially strained crystalline films
    • E. Bonnetier and A. Chambolle, Computing the equilibrium configuration of epitaxially strained crystalline films. SIAM J. Appl. Math. 62 (2002) 1093-1121.
    • (2002) SIAM J. Appl. Math. , vol.62 , pp. 1093-1121
    • Bonnetier, E.1    Chambolle, A.2
  • 11
    • 0034412473 scopus 로고    scopus 로고
    • Implementation of an adaptive finite-element approximation of the Mumford-Shah functional
    • B. Bourdin and A. Chambolle, Implementation of an adaptive finite-element approximation of the Mumford-Shah functional. Numer. Math. 85 (2000) 609-646.
    • (2000) Numer. Math. , vol.85 , pp. 609-646
    • Bourdin, B.1    Chambolle, A.2
  • 13
    • 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) 258-267.
    • (1958) J. Chem. Phys. , vol.28 , pp. 258-267
    • Cahn, J.W.1    Hilliard, J.E.2
  • 14
    • 0033463011 scopus 로고    scopus 로고
    • Finite-differences discretizations of the Mumford-Shah functional
    • A. Chambolle, Finite-differences discretizations of the Mumford-Shah functional. ESAIM: M2AN 33 (1999) 261-288.
    • (1999) ESAIM: M2AN , vol.33 , pp. 261-288
    • Chambolle, A.1
  • 15
    • 0035200823 scopus 로고    scopus 로고
    • Topology optimization with design-dependent loads
    • B.-C. Chen and N. Kikuchi, Topology optimization with design-dependent loads. Finite Elem. Anal. Des. 37 (2001) 57-70.
    • (2001) Finite Elem. Anal. Des. , vol.37 , pp. 57-70
    • Chen, B.-C.1    Kikuchi, N.2
  • 16
    • 0001152970 scopus 로고    scopus 로고
    • Application of semi implicit Fourier-spectral method to phase field equations
    • L.Q. Chen and J. Shen, Application of semi implicit Fourier-spectral method to phase field equations. Comput. Phys. Comm. 108 (1998) 147-158.
    • (1998) Comput. Phys. Comm. , vol.108 , pp. 147-158
    • Chen, L.Q.1    Shen, J.2
  • 19
    • 33845259994 scopus 로고
    • North-Holland Publishing Co., Amsterdam. Three-dimensional elasticity
    • P.G. Ciarlet, Mathematical elasticity. Vol. I. North-Holland Publishing Co., Amsterdam (1988). Three-dimensional elasticity.
    • (1988) Mathematical Elasticity , vol.1
    • Ciarlet, P.G.1
  • 21
    • 46749094480 scopus 로고    scopus 로고
    • Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, English Edition. Translated from the French
    • I. Ekeland and R. Témam, Convex analysis and Variational problems. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, English Edition (1999). Translated from the French.
    • (1999) Convex Analysis and Variational Problems
    • Ekeland, I.1    Témam, R.2
  • 23
    • 0027839918 scopus 로고
    • Systems of Cahn-Hilliard equations
    • D. Eyre, Systems of Cahn-Hilliard equations. SIAM J. Appl. Math. 53 (1993) 1686-1712.
    • (1993) SIAM J. Appl. Math. , vol.53 , pp. 1686-1712
    • Eyre, D.1
  • 27
    • 0030080761 scopus 로고    scopus 로고
    • A new approach to variable-topology shape design using a constraint on the perimeter
    • R.B. Haber, C.S. Jog and M.P. Bendsøe, A new approach to variable-topology shape design using a constraint on the perimeter. Struct. Optim. 11 (1996) 1-12.
    • (1996) Struct. Optim. , vol.11 , pp. 1-12
    • Haber, R.B.1    Jog, C.S.2    Bendsøe, M.P.3
  • 28
    • 0034167739 scopus 로고    scopus 로고
    • Topology optimization of continuum structures subjected to pressure loading
    • V.B. Hammer and N. Olhoff, Topology optimization of continuum structures subjected to pressure loading. Struct. Multidisc. Optim. 19 (2000) 85-02.
    • (2000) Struct. Multidisc. Optim. , vol.19 , pp. 85-102
    • Hammer, V.B.1    Olhoff, N.2
  • 29
    • 84990623154 scopus 로고
    • Optimal design and relaxation of variational problems I-III
    • 139-182, 353-377
    • R.V. Kohn and G. Strang, Optimal design and relaxation of variational problems I-III. Comm. Pure Appl. Math. 30 (1986) 113-137, 139-182, 353-377.
    • (1986) Comm. Pure Appl. Math. , vol.30 , pp. 113-137
    • Kohn, R.V.1    Strang, G.2
  • 31
    • 0032010562 scopus 로고    scopus 로고
    • A diffuse interface model for microstructural evolution in elastically stressed solids
    • P.H. Leo, J.S Lowengrub and H.J. Jou, A diffuse interface model for microstructural evolution in elastically stressed solids. Acta Mater. 46 (1998) 2113-2130.
    • (1998) Acta Mater. , vol.46 , pp. 2113-2130
    • Leo, P.H.1    Lowengrub, J.S.2    Jou, H.J.3
  • 32
    • 0012990431 scopus 로고
    • Il limite nella Γ-convergenza di una famiglia di funzionali ellittici
    • L. Modica and S. Mortola. Il limite nella Γ-convergenza di una famiglia di funzionali ellittici. Boll. Un. Mat. Ital. A (5) 14 (1977) 526-529.
    • (1977) Boll. Un. Mat. Ital. A (5) , vol.14 , pp. 526-529
    • Modica, L.1    Mortola, S.2
  • 34
    • 0033354962 scopus 로고    scopus 로고
    • The anisotropy introduced by the mesh in the finite element approximation of the Mumford-Shah functional
    • M. Negri, The anisotropy introduced by the mesh in the finite element approximation of the Mumford-Shah functional. Numer. Funct. Anal. Optim. 20 (1999) 957-982.
    • (1999) Numer. Funct. Anal. Optim. , vol.20 , pp. 957-982
    • Negri, M.1
  • 36
    • 0000653948 scopus 로고    scopus 로고
    • Level set methods for optimization problems involving geometry and constraints. I. Frequencies of a two-density inhomogeneous drum
    • S.J. Osher and F. Santosa, Level set methods for optimization problems involving geometry and constraints. I. Frequencies of a two-density inhomogeneous drum. J. Comput. Phys. 171 (2001) 272-288.
    • (2001) J. Comput. Phys. , vol.171 , pp. 272-288
    • Osher, S.J.1    Santosa, F.2
  • 37
    • 0026895714 scopus 로고
    • Asympto. and numerical analyses of the mean curvature flow with a space-dependent relaxation parameter
    • M. Paolini and C. Verdi, Asympto. and numerical analyses of the mean curvature flow with a space-dependent relaxation parameter. Asymptot. Anal. 5 (1992) 553-574.
    • (1992) Asymptot. Anal. , vol.5 , pp. 553-574
    • Paolini, M.1    Verdi, C.2
  • 38
    • 0001176192 scopus 로고    scopus 로고
    • Structural boundary design via level set and immersed interface methods
    • J.A. Sethian and A. Wiegmann, Structural boundary design via level set and immersed interface methods. J. Comput. Phys. 103 (2000) 489-528.
    • (2000) J. Comput. Phys. , vol.103 , pp. 489-528
    • Sethian, J.A.1    Wiegmann, A.2


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