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

Abstract

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
Volume2013
DOIs
Publication statusPublished - 2013 Dec 1

Keywords

  • 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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