Numerical methods for the topology optimization of structures that exhibit snap-through

T. E. Bruns, O. Sigmund, Daniel A Tortorelli

Research output: Contribution to journalArticlepeer-review


The inclusion of non-linear elastic analyses into the topology optimization problem is necessary to capture the finite deformation response, e.g. the geometric non-linear response of compliant mechanisms. In previous work, the non-linear response is computed by standard non-linear elastic finite element analysis. Here, we incorporate a load-displacement constraint method to traverse non-linear equilibrium paths with limit points to design structures that exhibit snap-through behaviour. To accomplish this, we modify the basic arc length algorithm and embed this analysis into the topology optimization problem.

Original languageEnglish (US)
Pages (from-to)1215-1237
Number of pages23
JournalInternational Journal for Numerical Methods in Engineering
Issue number10
StatePublished - Dec 10 2002


  • Arc length method
  • Snap-through
  • Structural topology optimization

ASJC Scopus subject areas

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics


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