Skip to main content
SpringerLink
Log in

Traditional vs. extended optimality in topology optimization

  • Brief Note
  • Published:
Structural and Multidisciplinary Optimization Aims and scope Submit manuscript

Abstract

Owing to its implications with respect to a critical examination of the SIMP and ESO methods in a Forum Article, extended optimality in topology optimization is revisited, with a view to clarifying certain issues and to illustrate this concept with a case study. It is concluded that extended optimality can result in a much lower structural volume than traditional optimality.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Allaire G, Kohn RV (1993) Explicit bounds on elastic energy of a two-phase composite in two space dimensions. Q Appl Math 51:675–699

    MATH  MathSciNet  Google Scholar 

  • Bendsoe MP, Haber RB (1993) The Michell layout problem as a low volume fraction limit of the perforated plate topology optimization problem: an asymptotic study. Struct Optim 6:263–267

    Article  Google Scholar 

  • Kohn RV, Strang G (1986) Optimal design and relaxation of variational problems I, II, III. Comm Pure Appl Math 39:113–137, 139–182, 353–377

    Article  MATH  MathSciNet  Google Scholar 

  • Lewinski T, Zhou M, Rozvany GIN (1994) Extended exact solutions for least-weight truss layouts. Part II: unsymmetric cantilevers. Int J Mech Sci 36:375–398

    Article  MATH  Google Scholar 

  • Lurie KA, Cherkaev AV (1986) Effective characteristics of composite materials and optimal design of structural elements. Uspekhi Mekhaniki 9:3–81 (in Russian)

    MathSciNet  Google Scholar 

  • Ong TG, Rozvany GIN, Szeto WT (1988) Least-weight design of perforated elastic plates for given compliance: nonzezo Poisson’s ratio. Comp Meth Appl Mech Eng 66:301–322

    Article  MATH  Google Scholar 

  • Prager W, Rozvany GIN (1977) Optimization of the structural geometry. In: Bednarek AR, Cesari L (eds) Dynamical systems (Proc. Int. Conf. Gainsville, Florida). Academic, New York, pp 265–293

    Google Scholar 

  • Rozvany GIN (1989) Structural design via optimality criteria. Kluwer, Dordrecht

    MATH  Google Scholar 

  • Rozvany GIN (2008) A critical review of established methods of structural topology optimization. Struct Multidisc Optim. doi: 10.1007/s00158-007-0217-0

  • Rozvany GIN, Olhoff N, Bendsoe MP, Ong TG, Szeto WT (1985) Least-weight design of perforated elastic plates. DCAMM Report No. 306, Techn. Univ. Denmark, Lyngby

  • Rozvany GIN, Olhoff N, Bendsoe MP, Ong TG, Sandler R, Szeto WT (1987) Least-weight design of perforated elastic plates I, II. Int J Solids Struct 23:521–536, 537–550

    Article  MATH  Google Scholar 

  • Rozvany GIN, Bendsoe MP, Kirsch U (1995) Layout optimization of structures. Appl Mech Rev ASME 48:41–119

    Article  Google Scholar 

  • Rozvany GIN, Querin OM, Gaspar Z, Pomezanski V (2002) Extended optimality in topology design. Struct Multidisc Optim 24:257–261

    Article  Google Scholar 

  • Rozvany GIN, Querin OM, Gaspar Z, Pomezanski V (2005) Erratum for “Extended optimality in topology design”. Struct Multidisc Optim 30:504

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dept. of Structural Mechanics, Budapest University of Technology and Economics, Műegyetem rkp. 3, Kmf. 35, 1521, Budapest, Hungary

    G. I. N. Rozvany

Authors
  1. G. I. N. Rozvany
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to G. I. N. Rozvany.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rozvany, G.I.N. Traditional vs. extended optimality in topology optimization. Struct Multidisc Optim 37, 319–323 (2009). https://doi.org/10.1007/s00158-008-0231-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00158-008-0231-x

Keywords

Search

Navigation