Extended optimality in topology design

G. I.N. Rozvany, O. M. Querin, Z. Gaspar, V. Pomezanski

Research output: Contribution to journalArticle

31 Citations (Scopus)


Most existing studies of 2D problems in structural topology optimization are based on a given (limit on the) volume fraction or some equivalent formulation. The present note looks at simultaneous optimization with respect to both topology and volume fraction, termed here "extended optimality". It is shown that the optimal volume fraction in such problems - in extreme cases - may be unity or may also tend to zero. The proposed concept is used for explaining certain "quasi-2D" solutions and an extension to 3D systems is also suggested. Finally, the relevance of Voigt's bound to extended optimality is discussed.

Original languageEnglish
Pages (from-to)257-261
Number of pages5
JournalStructural and Multidisciplinary Optimization
Issue number3
Publication statusPublished - Sep 1 2002


  • Compliance
  • Extended optimality
  • Quasi-2D topologies
  • Topology optimization
  • Voigt's bound
  • Volume fraction

ASJC Scopus subject areas

  • Software
  • Control and Systems Engineering
  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design
  • Control and Optimization

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