Structural optimization

, Volume 4, Issue 3–4, pp 250–252 | Cite as

Generalized shape optimization without homogenization

  • G. I. N. Rozvany
  • M. Zhou
  • T. Birker
Brief Notes


Two types of solutions may be considered in generalized shape optimization. Absolute minimum weight solutions, which are rather unpractical, consist of solid, empty and porous regions. In more practical solutions of shape optimization, porous regions are suppressed and only solid and empty regions remain. This note discusses this second class of problems and shows that a solid, isotropic microstructure with an adjustable penalty for intermediate densities is efficient in generating optimal topologies.


Microstructure Civil Engineer Optimal Topology Shape Optimization Minimum Weight 
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Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • G. I. N. Rozvany
    • 1
  • M. Zhou
    • 1
  • T. Birker
    • 1
  1. 1.FB 10, Essen UniversityEssen 1Germany

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