Variable-topology shape optimization with a control on perimeter

Robert B. Haber, Chandrashekhar S. Jog, Martin P. Bendsoe

Research output: Contribution to conferencePaperpeer-review


A method for variable-topology shape optimization is described. The method addresses certain problems that arise in relaxed formulations, i.e., homogenization design methods. For example, a complete relaxation generates optimal designs containing material with perforated microstructures that may be difficult or expensive to manufacture. This approach uses a control on the design perimeter to exclude effectively chattering designs, which have an infinite perimeter, from the feasible solution space. This achieves a well-posed shape design problem without the introduction of microstructure.

Original languageEnglish (US)
Number of pages12
StatePublished - 1994
EventProceedings of the 1994 ASME Design Technical Conferences. Part 1 (of 2) - Minneapolis, MN, USA
Duration: Sep 11 1994Sep 14 1994


OtherProceedings of the 1994 ASME Design Technical Conferences. Part 1 (of 2)
CityMinneapolis, MN, USA

ASJC Scopus subject areas

  • Engineering(all)


Dive into the research topics of 'Variable-topology shape optimization with a control on perimeter'. Together they form a unique fingerprint.

Cite this