Analytical sensitivity in topology optimization for elastoplastic composites

Junji Kato, Hiroya Hoshiba, Shinsuke Takase, Kenjiro Terada, Takashi Kyoya

Research output: Contribution to journalArticlepeer-review

50 Citations (Scopus)


The present study proposes a topology optimization of composites considering elastoplastic deformation to maximize the energy absorption capacity of a structure under a prescribed material volume. The concept of a so-called multiphase material optimization, which is originally defined for a continuous damage model, is extended to elastoplastic composites with appropriate regularization for material properties in order to regularize material parameters between two constituents. In this study, we formulate the analytical sensitivity for topology optimization considering elastoplastic deformationand its path-dependency. For optimization applying a gradient-based method, the accuracy of sensitivities iscritical to obtain a reliable optimization result. The proposed analytical sensitivity method takes the derivative of the total stress which satisfies equilibrium equation instead of that of the incremental stress and does not need implicit sensitivity terms. It is verified that the proposed method can provide highly accurate sensitivity enough to obtain reliable optimization results by comparing with that evaluated from the finite difference approach.

Original languageEnglish
Pages (from-to)507-526
Number of pages20
JournalStructural and Multidisciplinary Optimization
Issue number3
Publication statusPublished - 2015 Sep 26


  • Analytical sensitivity analysis
  • Composites
  • Elastoplasticity
  • Plane stress condition
  • 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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