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Anisotropic elastic-plastic constitutive equations considering the damage tensor and its application to the deformation process of porous metals

Research Project

Project/Area Number 15K05672
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Materials/Mechanics of materials
Research InstitutionTokyo University of Agriculture and Technology

Principal Investigator

NAGAKI SHIGERU  東京農工大学, 工学(系)研究科(研究院), 名誉教授 (30135959)

Co-Investigator(Kenkyū-buntansha) 大下 賢一  東京農工大学, 工学(系)研究科(研究院), 助教 (60334471)
Research Collaborator UTSUNOMIYA takao  
HANGAI Yoshihiko  
Project Period (FY) 2015-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Keywords損傷力学 / 塑性力学 / 発泡金属材料 / 弾塑性構成式 / 損傷テンソル / 異方性降伏関数 / 発泡金属 / 異方性Gursonの降伏関数 / 発砲金属 / 変形解析
Outline of Final Research Achievements

In order to predict the deformation of porous metals practically, the new method using the damage tensor instead of individual voids existence was developed in this study. The discrete distribution of voids in real porous metallic materials obtained by the 3D CT device was identified as the continuous distribution of damage tensor and three dimensional elastic-plastic deformation analysis of porous metal was carried out using this tensor distribution. It follows that using the proposed method the numerical costs of deformation analysis was decreased so much. The proposed theory was basically based on the anisotropic Gurson's yield function and by conducting a uniaxial tensile testing using a perforated sheet, the correlation was found between the strain distribution and the damage tensor distribution to some extent.

Academic Significance and Societal Importance of the Research Achievements

内部に多数の空孔を有する発泡金属は,衝撃緩衝材としての用途や軽量化を目指して構造材料として用いること等が検討されているが,実用化に際してはその変形過程のシミュレーションを正確に行う必要がある.多数の空孔の存在を直接考慮した変形シミュレーションには多大な計算コストが必要となるが,本手法の損傷テンソルを用いた方法によれば計算コストを大幅に削減することが期待される.

Report

(5 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Research-status Report
  • 2016 Research-status Report
  • 2015 Research-status Report
  • Research Products

    (8 results)

All 2018 2017 2016

All Journal Article (2 results) (of which Peer Reviewed: 2 results,  Acknowledgement Compliant: 1 results,  Open Access: 1 results) Presentation (6 results) (of which Int'l Joint Research: 2 results)

  • [Journal Article] Anisotropic Damage Evolution for Perforated Sheet Under Tensile Deformation2017

    • Author(s)
      S. Nagaki,D. Saboi,K. Muroi,M. Iizuka and K. Oshita
    • Journal Title

      Key Engineering Materials

      Volume: 725 Pages: 489-494

    • DOI

      10.4028/www.scientific.net/kem.725.489

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Anisotropic elasto-plastic constitutive equation for porous materials based on thermomechanical consideration2017

    • Author(s)
      飯塚誠・長岐滋・大下賢一
    • Journal Title

      Transactions of the JSME (in Japanese)

      Volume: 83 Issue: 847 Pages: 16-00506-16-00506

    • DOI

      10.1299/transjsme.16-00506

    • NAID

      130006943724

    • ISSN
      2187-9761
    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access
  • [Presentation] 異なる空孔直径を有する平板の単軸変形下での損傷評価2018

    • Author(s)
      大下健一,長岐滋,木口瑞玖,片岡拓也
    • Organizer
      日本機械学会2018年度年次大会
    • Related Report
      2018 Annual Research Report
  • [Presentation] Anisotropic Damage Evolution for Perforated Sheet Under Tensile Deformation2016

    • Author(s)
      S. Nagaki,D. Saboi,K. Muroi,M. Iizuka and K. Oshita
    • Organizer
      AEPA2016
    • Place of Presentation
      東広島芸術文化ホールくらら (広島県東広島市西条栄町)
    • Year and Date
      2016-12-04
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Damage Evaluation of Perforated Sheet Using Anisotropic Gurson’s Yield Function2016

    • Author(s)
      T. Kataoka,S. Nagaki and K. Oshita
    • Organizer
      ISEM 11
    • Place of Presentation
      ベトナム社会主義共和国 ホーチミン市
    • Year and Date
      2016-11-01
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] 異方性Gurson の降伏関数を用いた発泡金属材料の弾塑性変形解析2016

    • Author(s)
      長岐滋・吉井良・大下賢一・宇都宮登雄・半谷禎彦
    • Organizer
      日本機械学会2016年度年次大会
    • Place of Presentation
      九州大学伊都キャンパス(福岡県福岡市西区)
    • Year and Date
      2016-09-12
    • Related Report
      2016 Research-status Report
  • [Presentation] 異方性Gursonの降伏関数を用いた発泡金属材料の弾塑性変形解析2016

    • Author(s)
      長岐滋,吉井良,大下賢一,宇都宮登雄,半谷 禎彦
    • Organizer
      日本機械学会2016年度年次大会一般公演発表
    • Place of Presentation
      九州大学伊都キャンパス
    • Year and Date
      2016-09-11
    • Related Report
      2015 Research-status Report
  • [Presentation] 熱力学的考察に基づく多孔質材料の弾塑性構成式2016

    • Author(s)
      飯塚誠,長岐滋,大下賢一
    • Organizer
      日本機械学会関東支部第22期総会・講演会
    • Place of Presentation
      東京工業大学大岡山キャンパス
    • Year and Date
      2016-03-10
    • Related Report
      2015 Research-status Report

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Published: 2015-04-16   Modified: 2020-03-30  

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