Multi-scale topology optimization for hyperelastic composites applying a decoupling multi-scale analysis

Junji Kato, Daishun Yachi, Shunsuke Nishizawa, Shinsuke Takase, Kenjiro Terada, Takashi Kyoya

Research output: Contribution to journalArticlepeer-review


The present study proposes multi-scale topology optimization for a two-phase composite considering hy-perelasticity to minimize the end compliance of a macrostructure based on a decoupling multi-scale analysis. Much attention is paid to multi-scale topology optimization for its effectiveness in the field of the advanced material design dealing with a highly complex material behavior. However, most of the researches deal-ing with multi-scale topology optimization assume linear elasticity to avoid its complicated mathematical formulation and huge computational costs. The present study challenges to develop multi-scale topology optimization considering hyperelastic composite materials. In this context, we propose a two-scale adjoint sensitivity analysis utilizing a localization process.

Original languageEnglish
Pages (from-to)1-18
Number of pages18
JournalTransactions of the Japan Society for Computational Engineering and Science
Publication statusPublished - 2016 Jan 18


  • Adjoint sensitivity analysis
  • Decoupling multi-scale analysis
  • Homogenization
  • Hyperelasticity
  • Localization
  • Multi-scale topology optimization

ASJC Scopus subject areas

  • Computer Science(all)
  • Engineering(all)


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