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Development of nonlocal crystal plasticity theory accounting for discrete dislocation properties and its verification due to multiscale analysis

Research Project

Project/Area Number 20760069
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Materials/Mechanics of materials
Research InstitutionNagoya University

Principal Investigator

OKUMURA Dai  Nagoya University, 大学院・工学研究科, 講師 (70362283)

Project Period (FY) 2008 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2008: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Keywords塑性 / 転位 / 材料強度 / 離散転位動力学法 / ひずみこう配理論 / 転位論 / マルチスケール解析 / 有限要素解析
Research Abstract

In this study, a strain gradient theory of crystal plasticity that accounts for the self-energy of geometrically necessary dislocations was developed. Then, an implicit iterative finite element scheme for the theory was also developed. It was demonstrated that this scheme is superior to the conventional method from the point of the incremental stability as well as of the computational efficiency. Furthermore, to verify the theory, the formulation of a homogenization theory for discrete dislocation dynamics analysis was successfully performed.

Report

(3 results)
  • 2009 Annual Research Report   Final Research Report ( PDF )
  • 2008 Annual Research Report
  • Research Products

    (16 results)

All 2010 2009 2008

All Journal Article (8 results) (of which Peer Reviewed: 6 results) Presentation (8 results)

  • [Journal Article] Implicit iterative finite element scheme for strain gradient crystal plasticity model based on self-energy of GNDs2010

    • Author(s)
      R. Kametani, K. Kodera, D. Okumura, N. Ohno
    • Journal Title

      Proceedings of 2010 M&M International Symposium for Young Researchers (CD-ROM)

    • Related Report
      2009 Final Research Report
  • [Journal Article] 離散転位動力学解析のための均質化理論の定式化.2010

    • Author(s)
      奥村大, 大野信忠, 片桐慶大
    • Journal Title

      材料 Vol.59

      Pages: 149-156

    • NAID

      130000165573

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] 離散転位動力学解析のための均質化理論の定式化2010

    • Author(s)
      奥村大, 大野信忠, 片桐慶大
    • Journal Title

      材料 59

      Pages: 149-156

    • NAID

      130000165573

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Implicit Iterative Finite Element Scheme for Strain Gradient Crystal Plasticity Model Based on Self-Energy of GNDs2010

    • Author(s)
      R.Kametani, K.Kodera, D.Okumura, N.Ohno
    • Journal Title

      Proceedings of 2010 M&M International Symposium for Young Researchers (CD-ROM)

    • Related Report
      2009 Annual Research Report
  • [Journal Article] 幾何学的に必要な転位の自己エネルギーを考慮したひずみこう配結晶塑性理論のための陰的有限要素方程式.2009

    • Author(s)
      小寺一輝, 奥村大, 亀谷隆真, 大野信忠
    • Journal Title

      日本計算数理工学論文集 Vol.9

      Pages: 43-48

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] 幾何学的に必要な転位の自己エネルギーを考慮したひずみこう配結晶塑性理論のための陰的有限要素方程式2009

    • Author(s)
      小寺一輝, 奥村大, 亀谷隆真, 大野信忠
    • Journal Title

      日本計算数理工学論文集 9

      Pages: 43-48

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Grain-size dependent yield behavior under loading, unloading, and reverse loading.2008

    • Author(s)
      N. Ohno, D. Okumura, T. Shibata
    • Journal Title

      International Journal of Modern Physics B Vol.22

      Pages: 5937-5942

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Grain-size dependent yield behavior under loading, unloading, and reverse loading2008

    • Author(s)
      N. OHNO, D. OKUMURA, T. SHIBATA
    • Journal Title

      International Journal of Modern Physics B 22

      Pages: 5937-5942

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Presentation] Boundary value problem for discrete dislocation dynamics analysis of periodic composite materials2010

    • Author(s)
      D. Okumura, N. Ohno, A. Takeuchi, K. Yamaguchi
    • Organizer
      The 15th International Symposium on Plasticity & Its Current Applications (Plasticity 2010)
    • Place of Presentation
      St. Kitts Island.
    • Related Report
      2009 Final Research Report
  • [Presentation] Boundary Value Problem for Discrete Dislocation Dynamics Analysis of Periodic Composite Materials2010

    • Author(s)
      D.Okumura, N.Ohno, A.Takeuchi, K.Yamaguchi
    • Organizer
      The 15th International Symposium on Plasticity & Its Current Applications (Plasticity 2010)
    • Place of Presentation
      St.Kitts Islandセントクリストファー・ネイビス連邦
    • Related Report
      2009 Annual Research Report
  • [Presentation] Influence of boundary conditions on RVE analysis using discrete dislocation simulation.2009

    • Author(s)
      D. Okumura, N. Ohno, Y. Katagiri
    • Organizer
      1st International Conference on Material Modelling(ICMM1)
    • Place of Presentation
      Dortmund, Germany.
    • Related Report
      2009 Final Research Report
  • [Presentation] Homogenization framework for discrete dislocation plasticity simulation.2009

    • Author(s)
      D. Okumura, N. Ohno, Y. Katagiri
    • Organizer
      The 15th International Symposium on Plasticity & Its Current Applications (Plasticity 2009)
    • Place of Presentation
      St. Thomas Island.
    • Related Report
      2009 Final Research Report
  • [Presentation] Homogenization framework for discrete dislocation plasticity simulation2009

    • Author(s)
      Dai OKUNIURA
    • Organizer
      The 15 th International Symposium on Plasticity& Its Current Applications (Plasticity 2009)
    • Place of Presentation
      St. Thomas Ireland(U. S. V. I. )
    • Related Report
      2008 Annual Research Report
  • [Presentation] Theory and simulation of size-dependent plasticity.2008

    • Author(s)
      N. Ohno, D. Okumura
    • Organizer
      The third Nagoya University - UCLA International Symposium (NUCLA 2008)
    • Place of Presentation
      Nagoya University, Japan.
    • Related Report
      2009 Final Research Report
  • [Presentation] Theory and simulation of size-dependent plasticity2008

    • Author(s)
      Dai OKUMURA
    • Organizer
      The third Nagoya University- UCLA International Symposium (NUCLA 2008)
    • Place of Presentation
      Nagoya University
    • Related Report
      2008 Annual Research Report
  • [Presentation] 離散的な転位挙動を考慮した均質化理論の枠組み2008

    • Author(s)
      奥村大
    • Organizer
      第21回計算力学講演会
    • Place of Presentation
      琉球大学(那覇)
    • Related Report
      2008 Annual Research Report

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Published: 2008-04-01   Modified: 2016-04-21  

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