Topology optimization of micro-structure for composites applying a decoupling multi-scale analysis

Junji Kato, Daishun Yachi, Kenjiro Terada, Takashi Kyoya

Research output: Contribution to journalArticlepeer-review

46 Citations (Scopus)


The present study proposes topology optimization of a micro-structure for composites considering the ma-cro-scopic structural response, applying a decoupling multi-scale analysis based on a homogenization approach. In this study, it is assumed that topology of macro-structure is unchanged and that topology of micro-structure is unique over the macro-structure. The stiffness of the macro-structure 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 numerical material tests is introduced. It was verified from a series of numerical examples that the proposed method has great potential for advanced material design.

Original languageEnglish
Pages (from-to)595-608
Number of pages14
JournalStructural and Multidisciplinary Optimization
Issue number4
Publication statusPublished - 2014 Apr


  • Decoupling multi-scale analysis
  • Homogenization
  • Micro-structures
  • Topology optimization

ASJC Scopus subject areas

  • Software
  • Control and Systems Engineering
  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design
  • Control and Optimization


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