Analytical sensitivity analysis for decoupling multi-scale topology optimization of composites

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

Research output: Contribution to journalArticlepeer-review


The present study proposes an analytical sensitivity analysis for a so-called multi-scale topology optimization introduced to minimization of compliance of three dimensional structural problems. The multi-scale topology optimization is a strategy to optimize topology of microstructures applying a decoupling multi-scale analysis based on a homogenization method. The stiffness of the macrostructure is maximized with a prescribed material volume of constituents under linear elastic regime. A gradient-based optimization strategy is applied and an analytical sensitivity approach based on the adjoint method is proposed to reduce the computational costs. It was verified from a series of numerical examples that the proposed method has great possibility for microscopic advanced material designs.

Original languageEnglish
JournalTransactions of the Japan Society for Computational Engineering and Science
Publication statusPublished - 2013 Dec 1


  • Adjoint sensitivity analysis
  • Decoupling multi-scale analysis
  • Homogenization
  • Microstructures
  • Multi-scale topology optimization
  • Topology optimization

ASJC Scopus subject areas

  • Computer Science(all)
  • Engineering(all)


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