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Analytical Study of Axisymmetric Indentation for Poroelastic Multi-Layer Coating on Substrate Body

Research Project

Project/Area Number 20K14612
Research Category

Grant-in-Aid for Early-Career Scientists

Allocation TypeMulti-year Fund
Review Section Basic Section 18010:Mechanics of materials and materials-related
Research InstitutionHirosaki University (2022)
Seikei University (2020-2021)

Principal Investigator

Miura Kotaro  弘前大学, 理工学研究科, 助教 (30846829)

Project Period (FY) 2020-04-01 – 2023-03-31
Project Status Completed (Fiscal Year 2022)
Budget Amount *help
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2022: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2021: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2020: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Keywords接触問題 / 関節軟骨 / 積層構造 / 多孔質材料 / 弾性論
Outline of Research at the Start

生体軟組織の代表である関節軟骨は,関節面における摩擦の低減と力学負荷の緩和の役割を有している.また,関節軟骨は積層構造であり,間質液に満たされている組織である.そこで本研究では,関節軟骨を対象とした,積層構造を有する湿潤多孔質弾性体の押込み接触問題の理論解析に関する研究を行うことで,日常生活において様々な力学負荷を受ける生体軟組織の応力緩和機構に関して知見を与えることを目的とする.さらに,インデンテーション試験法による湿潤した多孔質材料の力学的特性評価試験法を構築するとともに,有限要素解析への応用を図る.

Outline of Final Research Achievements

We considered the axisymmetric indentation of poroelastic multi-coating bonded to poroelastic substrate indented by a rigid flat-ended cylindrical indenter. The approach that expressed poroelastic solutions in term of two displacement functions and the transfer matrix method which can formulate the effect of multi-layer composite were applied in this study. Furthermore, we adopted the analytic method that using Laplace-Hankel transform and expressing the normal contact stress at the surface layer as an appropriate series with a Chebyshev orthogonal polynomial to reduce dual integral equations to an infinite system of simultaneous equations in Laplace transform domain. The results of axial displacement for one-layer bonded to rigid impervious substrate given by this study were good agreement with previously reported results. It is found that the permeability of the surface and substrate have a significant effect on the rate of progression of axial displacement of indenter.

Academic Significance and Societal Importance of the Research Achievements

関節軟骨の力学的特性を正確に表現するために湿潤多孔質弾性体としてモデル化し,基礎的な押込み接触問題に対して解析解を求めた.積層構造を考慮したこの解析解は,インデンテーション試験により関節軟骨の変性度合いや水分含有量によって変化する力学的特性を評価する実験解析に利用することができる.関節軟骨の力学的特性が正確に評価できれば,軟骨の変性疾患の早期診断等に応用できると考えている.

Report

(4 results)
  • 2022 Annual Research Report   Final Research Report ( PDF )
  • 2021 Research-status Report
  • 2020 Research-status Report
  • Research Products

    (13 results)

All 2022 2021 2020

All Journal Article (3 results) (of which Peer Reviewed: 3 results,  Open Access: 2 results) Presentation (10 results) (of which Int'l Joint Research: 3 results)

  • [Journal Article] Indentation method accounting for thickness effect of viscoelastic layer2021

    • Author(s)
      Kotaro Miura, Chihiro Oyama, Makoto Sakamoto, Yuji Tanabe
    • Journal Title

      ZAMM - Journal of Applied Mathematics and Mechanics

      Volume: 101 Issue: 10 Pages: 1-12

    • DOI

      10.1002/zamm.202000272

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Analytical solution for the axisymmetric problem of a penny-shaped crack under internal pressure in a multi-layer composite2021

    • Author(s)
      MIURA Kotaro、SAKAMOTO Makoto、TANABE Yuji
    • Journal Title

      Mechanical Engineering Journal

      Volume: 8 Issue: 2 Pages: 21-00025-21-00025

    • DOI

      10.1299/mej.21-00025

    • NAID

      130008025208

    • ISSN
      2187-9745
    • Related Report
      2020 Research-status Report
    • Peer Reviewed
  • [Journal Article] Analytical solution of axisymmetric indentation of multi-layer coating on elastic substrate body2020

    • Author(s)
      Kotaro Miura, Makoto Sakamoto, Yuji Tanabe
    • Journal Title

      Acta Mechanica

      Volume: 231 Issue: 10 Pages: 4077-4093

    • DOI

      10.1007/s00707-020-02752-1

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access
  • [Presentation] 湿潤多孔質半無限体の円柱状圧子による押込み接触問題2022

    • Author(s)
      三浦鴻太郎,坂本信
    • Organizer
      第66回理論応用力学講演会
    • Related Report
      2022 Annual Research Report
  • [Presentation] 押込み試験による水分量の異なる軟材料の粘弾性特性同定2022

    • Author(s)
      三浦鴻太郎,小林航大,河本彩花,望月良平
    • Organizer
      日本実験力学会 2022年度年次講演会
    • Related Report
      2022 Annual Research Report
  • [Presentation] Saturated Poroelastic Half-Space Problem with Axisymmetric Cylindrical Indenter2022

    • Author(s)
      Kotaro Miura, Makoto Sakamoto
    • Organizer
      42nd Solid Mechanics Conference
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 積層構造を有する湿潤多孔質弾性体の円柱状圧子による押込み接触問題2022

    • Author(s)
      三浦鴻太郎,坂本信,笹川和彦
    • Organizer
      M&M2022材料力学カンファレンス
    • Related Report
      2022 Annual Research Report
  • [Presentation] 関節軟骨変性状態の定量評価を想定した押込み試験による粘弾性特性同定2022

    • Author(s)
      三浦鴻太郎,小林航大,河本彩花,望月良平
    • Organizer
      第49回臨床バイオメカニクス
    • Related Report
      2022 Annual Research Report
  • [Presentation] 異種材料からなる積層複合材料の円状き裂に関する軸対称弾性問題2021

    • Author(s)
      三浦鴻太郎,坂本信,田邊裕治
    • Organizer
      日本機械学会 2021年度年次大会
    • Related Report
      2021 Research-status Report
  • [Presentation] Transient SH Wave Propagation of Elastic Plate2021

    • Author(s)
      Kotaro Miura, Makoto Sakamoto, Yuji Tanabe
    • Organizer
      13th International Conference on Mechanical and Physical Behaviour of Materials Under Dynamic Loading
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research
  • [Presentation] Evaluation of Viscoelastic Properties of Articular Cartilage by Indentation Method Accounting for Thickness Effect2021

    • Author(s)
      Kotaro Miura, Makoto Sakamoto, Yuji Tanabe
    • Organizer
      The 11th Asian-Pacific Conference on Biomechanics (AP Biomech 2021)
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research
  • [Presentation] 様々な転落条件における乳幼児の頭部損傷評価解析2021

    • Author(s)
      岡澤祐斗,三浦鴻太郎,弓削康平
    • Organizer
      第26回計算工学講演会
    • Related Report
      2021 Research-status Report
  • [Presentation] 緩和押込み試験装置の開発と円柱状圧子の先端形状の影響について2020

    • Author(s)
      三浦鴻太郎
    • Organizer
      The 19th Conference on Biomechanics
    • Related Report
      2020 Research-status Report

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Published: 2020-04-28   Modified: 2024-01-30  

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