Open Access
Mechanics & Industry
Volume 17, Number 4, 2016
Article Number 404
Number of page(s) 10
Published online 10 March 2016
  1. M P. Bendsøe, Topology optimization: theory, methods and applications, Springer, 2003 [Google Scholar]
  2. M.P. Bendsøe, N. Kikuchi, Generating optimal topologies in structural design using a homogenization method, Comput. Methods Appl. Mech. Eng. 71 (1988) 197–224 [Google Scholar]
  3. M.P. Bendsøe, Optimal shape design as a material distribution problem, Struct. Optim. 1 (1989) 193–202 [CrossRef] [Google Scholar]
  4. M. Zhou, G.I.N. Rozvany, The COC algorithm, Part II: topological, geometrical and generalized shape optimization, Comput. Methods Appl. Mech. Eng. 89 (1991) 309–336 [Google Scholar]
  5. G. Allaire, F. Jouve, A.M. Toader, A level-set method for shape optimization, Comptes Rendus Mathematique 334 (2002) 1125–1130 [CrossRef] [MathSciNet] [Google Scholar]
  6. M.Y. Wang, X. Wang, D. Guo, A level set method for structural topology optimization, Comput. Methods Appl. Mech. Eng. 192 (2003) 227–246 [CrossRef] [MathSciNet] [Google Scholar]
  7. S.J. Osher, 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 [CrossRef] [MathSciNet] [Google Scholar]
  8. Y.M. Xie, G.P. Steven, Basic Evolutionary Structural Optimization, Springer London, 1997 [Google Scholar]
  9. M. Stolpe, K. Svanberg, An alternative interpolation scheme for minimum compliance topology optimization, Struct. Multidiscipl. Optim. 22 (2001) 116–124 [Google Scholar]
  10. M.P. Bendsøe, O. Sigmund, Material interpolation schemes in topology optimization, Arch. Appl. Mech. 69 (1999) 635–654 [CrossRef] [Google Scholar]
  11. O. Sigmund, Design of multiphysics actuators using topology optimization–Part II: Two-material structures, Comput. Methods Appl. Mech. Eng. 190 (2001) 6605−6627 [CrossRef] [Google Scholar]
  12. L. Yin, Ananthasuresh G K. Topology optimization of compliant mechanisms with multiple materials using a peak function material interpolation scheme, Struct. Multidiscip. Optim. 23 (2001) 49–62 [CrossRef] [Google Scholar]
  13. S. Chen, S. Gonella, W. Chen, et al., A level set approach for optimal design of smart energy harvesters, Comput. Methods Appl. Mech. Eng. 199 (2010) 2532–2543 [CrossRef] [Google Scholar]
  14. Z. Luo, L. Tong, J. Luo, et al., Design of piezoelectric actuators using a multiphase level set method of piecewise constants, J. Comput. Phys. 228 (2009) 2643–2659 [CrossRef] [Google Scholar]
  15. Z. Luo, W. Gao, C. Song, Design of multi-phase piezoelectric actuators, J. Intell. Mater. Syst. Struct. 21 (2010) 1851–1865 [CrossRef] [Google Scholar]
  16. Saxena A. On multiple-material optimal compliant topologies: discrete variable parameterization using genetic algorithm, ASME, 2002 [Google Scholar]
  17. Y.L. Mei, X.M. Wang, A level set method for structural topology optimization with multi-constraints and multi-materials, Acta Mechanica Sinica 20 (2004) 507–518 [CrossRef] [MathSciNet] [Google Scholar]
  18. M.Y. Wang, X. Wang, “Color” level sets: a multi-phase method for structural topology optimization with multiple materials, Comput. Methods Appl. Mech. Eng. 193 (2004) 469–496 [CrossRef] [Google Scholar]
  19. G. Allaire, C. Dapogny, G. Delgado, et al., Multi-phase structural optimization via a level set method, Control Optim. Calc. Var. 20 (2014) 576–611 [Google Scholar]
  20. S.W. Zhou, M.Y. Wang, Multimaterial structural topology optimization with a generalized Cahn–Hilliard model of multiphase transition, Struct. Multidiscipl. Optim. 33 (2007) 89–111 [CrossRef] [Google Scholar]
  21. J. Stegmann, E. Lund, Discrete material optimization of general composite shell structures, Int. J. Numer. Methods Eng. 62 (2005) 2009–2027 [CrossRef] [Google Scholar]
  22. S.Y. Han, S.K. Lee, Development of a material mixing method based on evolutionary structural optimization, JSME Int. J. Ser. A 48 (2005) 132–135 [CrossRef] [Google Scholar]
  23. A. Ramani, A pseudo-sensitivity based discrete-variable approach to structural topology optimization with multiple materials, Struct. Multidiscipl. Optim. 41 (2010) 913−934 [CrossRef] [Google Scholar]
  24. M.Y. Wang, S.W. Zhou, Synthesis of shape and topology of multi material structures with a phase-field method, J. Comput.-Aid. Mater. Design 11 (2004) 117–138 [CrossRef] [Google Scholar]
  25. K. Svanberg, The method of moving asymptotes – a new method for structural optimization, Int. J. Numer. Methods Eng. 24 (1987) 359–373 [Google Scholar]
  26. O. Sigmund, A 99 line topology optimization code written in matlab, Struct. Multidiscipl. Optim. 21 (2001) 120–127 [Google Scholar]

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