Material interface effects on the topology optimizationof multi-phase structures using a level set method

Natasha Vermaak, Georgios Michailidis, Guillaume Parry, Rafael Estevez, Grégoire Allaire, Yves Bréchet

Research output: Contribution to journalArticleResearchpeer-review

61 Citations (Scopus)


A level set method is used as a framework to study the effects of including material interface properties in the optimization of multi-phase elastic and thermoelastic structures. In contrast to previous approaches, the material properties do not have a discontinuous change across the interface that is often represented by a sharp geometric boundary between material regions. Instead, finite material interfaces with monotonic and non-monotonic property variations over a physically motivated interface zone are investigated. Numerical results are provided for several 2D problems including compliance and displacement minimization of structures composed of two and three materials. The results highlight the design performance changes attributed to the presence of the continuously graded material interface properties.

Original languageEnglish
Pages (from-to)623-644
Number of pages22
JournalStructural and Multidisciplinary Optimization
Issue number4
Publication statusPublished - Oct 2014
Externally publishedYes


  • Elasticity
  • Graded interface
  • Level set method
  • Multi-material
  • Multi-phase
  • Shape optimization
  • Thermoelastic
  • Topology

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