Development of a novel phase-field method for local stress-based shape and topology optimization

Seung Hyun Jeong, Gil Ho Yoon*, Akihiro Takezawa, Dong Hoon Choi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

35 Citations (Scopus)


This research develops a stress-based topology optimization method (STOM) using the phase-field method representing topological changes. This research shows that to apply the phase field method, regional and localized stress constraints should be addressed. Thus, we use an Augmented Lagrange multiplier approach for the stress constraints and present a new numerical solution for the Lagrange multipliers inside the Allen-Cahn equation with the topological derivatives. Through several two dimensional illustrative problems, the results of the phase-field method have larger objective values, but are robust from a stress point of view compared with the results of the STOM by the density method.

Original languageEnglish
Pages (from-to)84-98
Number of pages15
JournalComputers and Structures
Publication statusPublished - 2014 Feb
Externally publishedYes


  • Augmented Lagrange multiplier method
  • Phase-field method
  • Stress-based topology optimization
  • Topological derivative

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Modelling and Simulation
  • Materials Science(all)
  • Mechanical Engineering
  • Computer Science Applications


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