Structural optimization based on the phase field method and sensitivity analysis

Akihiro Takezawa*, Shinji Nishiwaki, Mitsuru Kitamura

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


This paper discusses a structural optimization method that achieves optimum shape and topology based on the phase field method. The proposed method has the same functional capabilities as a structural optimization method based on the level set method. Since the proposed method does not require extra operations such as re-initialization of the level set function or smoothing of sensitivities, the computational cost is lower than that of typical level set methods. Structural shapes are represented by the phase field function defined in the design domain and optimization of this function is performed by solving a time-dependent reaction diffusion equation. The artificial double-well potential function used in the equation is derived from sensitivity analysis. The proposed method is applied toa two-dimensional linear elastic problem. The provided numerical examples illustrate the convergence of the compliance minimization problem.

Original languageEnglish
Pages (from-to)1-9
Number of pages9
JournalNihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A
Issue number761
Publication statusPublished - 2010 Jan
Externally publishedYes


  • Level set method
  • Phase field method
  • Sensitivity analysis
  • Shape optimization
  • Topology optimization

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering


Dive into the research topics of 'Structural optimization based on the phase field method and sensitivity analysis'. Together they form a unique fingerprint.

Cite this