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Formulation of a constitutive model for deformation and damage of bone under dynamic conditions

Research Project

Project/Area Number 16560068
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Materials/Mechanics of materials
Research InstitutionNagoya University

Principal Investigator

TANAKA Eiichi  Nagoya University, Graduate School of Engineering, Professor, 大学院・工学研究科, 教授 (00111831)

Co-Investigator(Kenkyū-buntansha) MIZUNO Koji  Nagoya University, Graduate School of Engineering, Associate Professor, 大学院・工学研究科, 助教授 (80335075)
YAMAMOTO Sota  Nagoya University, Graduate School of Engineering, Research Associate, 大学院・工学研究科, 助手 (80293653)
Project Period (FY) 2004 – 2005
Project Status Completed (Fiscal Year 2005)
Budget Amount *help
¥3,700,000 (Direct Cost: ¥3,700,000)
Fiscal Year 2005: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 2004: ¥2,700,000 (Direct Cost: ¥2,700,000)
KeywordsBiomechanics / Bone / Mechanical properties / Constitutive model / Automobile simulation / Injury evaluation of lower extremity / 構成式モデル / 動的負荷 / 損傷
Research Abstract

We formulated a new constitutive model of bone to facilitate an accurate prediction of fracture pattern under dynamic conditions. The model describes anisotropy of deformation and strength, asymmetric properties for tension and compression, inelastic deformation and damage evolution, and strain-rate dependency of afore-mentioned characteristics. The total strain is divided into elastic and inelastic parts. The elastic part is modeled as a transversely isotropic material with strain-rate dependent elastic moduli. The inelastic part is described by a framework of viscoplastic flow theory with an equipotential surface of Tsai-Wu criterion. The effects of damage were taken into account by an isotropic damage variable and its evolution equation. The introduction of isotropic and kinematic hardening variables was also discussed to describe loading-unloading and cyclic test results.
To evaluate the effects of damage on mechanical properties of bone we performed repetitive compressive tests. The results showed that there was no difference between the initial elastic moduli in the loading and unloading process. We also discussed the adequacy of Carter-Hayes model on the elastic modulus-strain rate relationship in low strain-rate range.
Finally we developed an algorithm to implement the proposed model to FE code LS-DYNA. We confirmed the adequacy of the implementation by comparing FE calculation results using a single cubic element for simple tension or compression process and the corresponding calculation results by direct use of the constitutive model. We performed a parametric study for cases of axial impact to ankle joint by use of the proposed model and a conventional model. We found that the proposed model gave better predictions on the location, severity, and pattern of fracture than the ordinary model.

Report

(3 results)
  • 2005 Annual Research Report   Final Research Report Summary
  • 2004 Annual Research Report
  • Research Products

    (10 results)

All 2005 2004

All Journal Article (10 results)

  • [Journal Article] 異方性と損傷を考慮した皮質骨の非弾性構成式の定式化2005

    • Author(s)
      岩本正実, 田中英一, 伝田耕平, 山本創太
    • Journal Title

      日本機械学会論文集(A編) 71巻705号

      Pages: 872-879

    • NAID

      110004999022

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Ankle Skeketal Injury Predictions Using Anisotropic Inelastic Constitutive Model of Cortical Bone Taking into Account Damage Evolution2005

    • Author(s)
      Iwamoto, M, Tanaka, E, Miki, K.
    • Journal Title

      Stapp Car Crash Journal 49

      Pages: 133-156

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Inelastic Constitutive Modeling of Cortical Bone Taking Account of Anisotropy and Damage2005

    • Author(s)
      Iwamoto, M., Tanaka, E., Denda, K., Yamamoto, S.
    • Journal Title

      Transaction of the Japan Society of Mechanical Engineers, Series A Vol.71, No.705

      Pages: 872-879

    • NAID

      120000975625

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Ankle Skeletal Injury Predictions Using Anisotropic Inelastic Constitutive Model of Cortical Bone Taking into Account Damage Evolution2005

    • Author(s)
      Iwamoto, M., Tanaka, E., Miki, K.
    • Journal Title

      Stapp Car Crash Journal Vol.49

      Pages: 133-156

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 異方性と損傷を考慮した皮質骨の非弾性構成式の定式化2005

    • Author(s)
      岩本正実, 田中英一, 伝田耕平, 山本創太
    • Journal Title

      日本機械学会論文集A編 71巻705号

      Pages: 872-879

    • NAID

      110004999022

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Ankle Skeletal Injury Predictions Using Anisotropic Inelastic Constitutive Model of Cortical Bone Taking into Account Damage Evolution2005

    • Author(s)
      Iwamoto, M., Tanaka, E., Miki, K.
    • Journal Title

      Stapp Car Crash Journal 49巻

      Pages: 133-156

    • Related Report
      2005 Annual Research Report
  • [Journal Article] 異方性と損傷を考慮した皮質骨の非弾性構成式の定式化2005

    • Author(s)
      岩本正実
    • Journal Title

      日本機械学会論文集(A編) (印刷中)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] 皮質骨構成式モデルの定式化と負荷・除荷試験への適用性の検討2005

    • Author(s)
      伝田耕平
    • Journal Title

      日本機械学会講演論文集 No.054-1

    • Related Report
      2004 Annual Research Report
  • [Journal Article] 速度依存性を考慮した皮質骨構成式と損傷発展式の定式化2004

    • Author(s)
      岩本正実
    • Journal Title

      日本機械学会講演論文集 No.04-1, Vol.5

      Pages: 63-64

    • Related Report
      2004 Annual Research Report
  • [Journal Article] 前突事故時の足首傷害予測に関する基礎的検討2004

    • Author(s)
      永原斉
    • Journal Title

      日本機械学会講演論文集 No.04-39

      Pages: 97-98

    • Related Report
      2004 Annual Research Report

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Published: 2004-04-01   Modified: 2016-04-21  

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