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Modeling of adaptive bone remodeling and its application to optimal design of structure/material system (Approach to multilevel structural system)

Research Project

Project/Area Number 10650088
Research Category

Grant-in-Aid for Scientific Research (C)

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

Principal Investigator

TANAKA Masao  Graduate School of Engineering Science, Osaka University, Professor, 大学院・基礎工学研究科, 教授 (40163571)

Co-Investigator(Kenkyū-buntansha) TODOH Masahiro  Graduate School of Engineering Science, Osaka University, Research Associate, 大学院・基礎工学研究科, 助手 (10314402)
Project Period (FY) 1998 – 1999
Project Status Completed (Fiscal Year 1999)
Budget Amount *help
¥3,500,000 (Direct Cost: ¥3,500,000)
Fiscal Year 1999: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1998: ¥2,700,000 (Direct Cost: ¥2,700,000)
KeywordsBiomechanics / Bone / Optimal Design
Research Abstract

An orthogonal lattice continuum is studied as a model of trabecular architecture of cancellous bone and the relation between parameters of lattice geometry and mechanical characteristics as a continuum is considered in the context of unit cell analysis. A rate equation of orthogonal lattice parameters is described for a phenomenological model of adaptation by bone remodeling by paying attention to some optimality in mechanical function at equilibrium. The lattice continuum model is extended to permit the non-orthogonal lattice intersection, and the lattice parameter determination is considered. The residual stress in trabecular architecture is observed and estimated based on a lattice model.
As an application of cancellous bone-like internal structure to a structural design problem, a topology and shape determination problem is formulated for a variable stiffness structure that realize different stiffness at different level of external load, and a solution procedure is demonstrated. This problem is extended for a design of a material structural system with specified elastic material constants depending on working load level.

Report

(3 results)
  • 1999 Annual Research Report   Final Research Report Summary
  • 1998 Annual Research Report
  • Research Products

    (17 results)

All Other

All Publications (17 results)

  • [Publications] T. Adachi: "Three-dimensional lattice Continuum model of cancellous bone for structural and remodeling simulation"JSME International Journal. 42C-3. 470-480 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] M. Tanaka: "Lattice Continuum model for bone remodeling considering microstructural optimality of trabecular architecture"IUTAM Symposium on Synthesis in Bio Solid Mechanics (Kluver). 43-54 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 田中正夫: "可変剛性を実現する内部構造設計"日本機械学会講演論文集. 994-1. 13/19-20 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 田中正夫: "双線形剛性構造の形状設計"日本機械学会講演論文集. 99-27. 346-348 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 田中正夫: "海綿骨骨梁構造における残留応力解放実験"日本機械学会講演論文集. 99-37. 85-86 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 沖和重: "非線形特性を実現する材料構造設計の試み"日本機械学会講演論文集. 004-1. 12/3-4 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] M. Tanaka and T. Adachi: "Lattice continuum model for bone remodeling considering microstructural optimality of trabecular architecture"IUTAM Symposium on Bio Solid Mechanics (Kluwer Academic). 43-54 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] T. Adachi, Y. Tomita and M.Tanaka: "Three-dimensional lattice Continuum model of cancellous bone for structural and Remodeling simulation"JSME International Journal Series C. 42-3. 470-480 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] M. Tanaka and K. Oki: "Topology design approach to variable stiffness structure"Preprint JSME conference. 994-1. 13/19-20 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] M. Tanaka and K. Oki: "Shape design of bilinear stiffness structure"Preprint JSME conference. 99-27. 346-348 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] M. Tanaka, M. Todoh and H. Satou: "Observation of residual stress in trabecular architecture of cancellous bone"Preprint JSME conference. 99-37. 85-86 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] K. Oki and M. Tanaka: "Anote on structural design approach to material system of nonlinear elasticity"Preprint JSME conference. 004-1. 12/3-4 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Masao Tanaka: "Lattice continuum Model for Bone Remodeling considering Microstructural Optimality of Trabecular Architecture"IUTAM Symposium on Synthesis in Bio Solid Mechanics (Kluwer). 43-54 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 田中正夫: "双線形剛性構造の形状設計"日本機械学会講演論文集. 99・27. 346-348 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 田中正夫: "海綿骨骨梁構造における残留応力解放実験"日本機械学会講演論文集. 99・37. 85-86 (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] 沖和重: "非線形特性を実現する材料構造設計の試み"日本機械学会講演論文集. (発表予定). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] 田中正夫: "可変剛性を実現する内部構造設計" 日本機械学会講演論文集. 発表予定. (1999)

    • Related Report
      1998 Annual Research Report

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Published: 1998-04-01   Modified: 2016-04-21  

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