Free material optimization: recent progress

Michal Kocvara, M Stingl, J Zowe

Research output: Contribution to journalArticle

42 Citations (Scopus)

Abstract

We present a compact overview of the recent development in free material optimization (FMO), a branch of structural optimization. The goal of FMO is to design the ultimately best material (its mechanical properties and distribution in space) for a given purpose. We show that the current FMO models naturally lead to linear and non-linear semidefinite programming problems (SDP); their numerical tractability is then guaranteed by recently introduced SDP algorithms.
Original languageEnglish
Pages (from-to)79-100
Number of pages22
JournalOptimization
Volume57
Issue number1
DOIs
Publication statusPublished - 1 Jan 2008

Keywords

  • topology optimization
  • optimization of elastic structures
  • method of augmented Lagrangians
  • semidefinite programming
  • material optimization

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