Multidisciplinary Free Material Optimization

J Haslinger, Michal Kocvara, G Leugering, M Stingl

Research output: Contribution to journalArticle

38 Citations (Scopus)


We present a mathematical framework for the so-called multidisciplinary free material optimization (MDFMO) problems, a branch of structural optimization in which the full material tensor is considered as a design variable. We extend the original problem statement by a class of generic constraints depending either on the design or on the state variables. Among the examples are local stress or displacement constraints. We show the existence of optimal solutions for this generalized free material optimization (FMO) problem and discuss convergent approximation schemes based on the finite element method.
Original languageEnglish
Pages (from-to)2709-
JournalSIAM Journal on Applied Mathematics
Issue number7
Publication statusPublished - 1 Jan 2010


  • nonlinear programming
  • structural optimization
  • semidefinite programming
  • material optimization
  • H-convergence


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