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Study on the transition mechanism of dynamic deformation in cellular solids

Research Project

Project/Area Number 18H01334
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Review Section Basic Section 18010:Mechanics of materials and materials-related
Research InstitutionOsaka University

Principal Investigator

Tanaka Hiro  大阪大学, 工学研究科, 准教授 (70550143)

Project Period (FY) 2018-04-01 – 2022-03-31
Project Status Completed (Fiscal Year 2021)
Budget Amount *help
¥15,210,000 (Direct Cost: ¥11,700,000、Indirect Cost: ¥3,510,000)
Fiscal Year 2021: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2020: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2019: ¥6,890,000 (Direct Cost: ¥5,300,000、Indirect Cost: ¥1,590,000)
Fiscal Year 2018: ¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000)
Keywordsセル状固体 / 変形遷移 / 動的変形挙動 / 粘弾性特性 / 非線形構造力学
Outline of Final Research Achievements

Recently, the researches and developments on cellular solids that control their microstructures and yield the new functions and properties have been activated, and the model representing well the nonlinear mechanical properties of cellular solids with large deformability is essential to reach the goal. This study focused on the connections (joints), which constitute the framework of a cellular solid, and tried to reveal the unusual deformation mechanism such as the dynamic deformation transition and negative Poisson ratio by analyzing them in static and dynamic manners. As a result, we succeeded to develop the mathematical models of periodic structure in order to represent the deformation mechanisms mentioned above. We then could promote the new ideas for the viscoelastic model switching its stiffness according to a loading rate and the edge-shared tetrahedral units with low-frequency auxetic vibration, these findings of which open the design of a next-generation material.

Academic Significance and Societal Importance of the Research Achievements

機械工学の観点において,固体の変形は,材料の機能・特性を向上させる上で最も重要でかつ基本的な要素です.特に,内部構造に空隙が多く存在するセル状固体の場合,材料設計においてその大変形能を上手く利用するためには,数学的に解くことが困難な非線形変形挙動を正確に理解することが必要です.本研究課題では,先行研究で独自に考案した新しい変形メカニズムを数学的に記述するために,最小限の自由度に低減したモデルを開発しました.そして,静的・動的解析を行った結果,圧縮の負荷速度を速くすると自分自身が柔らかくなる構造や,非常にスローな膨張収縮振動が引き起こされる構造を世界で初めて提唱することができました.

Report

(5 results)
  • 2021 Annual Research Report   Final Research Report ( PDF )
  • 2020 Annual Research Report
  • 2019 Annual Research Report
  • 2018 Annual Research Report
  • Research Products

    (29 results)

All 2022 2021 2020 2019 2018 Other

All Journal Article (5 results) (of which Peer Reviewed: 5 results,  Open Access: 2 results) Presentation (18 results) (of which Int'l Joint Research: 4 results,  Invited: 2 results) Remarks (6 results)

  • [Journal Article] Auxetic vibration behaviours of periodic tetrahedral units with a shared edge2021

    • Author(s)
      H. Tanaka, S. Asao, Y. Shibutani
    • Journal Title

      Royal Society Open Science

      Volume: 8 Issue: 10

    • DOI

      10.1098/rsos.210768

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Creep trajectory transition of a nonstationary viscoelastic model onto a single rate parameter2021

    • Author(s)
      H. Tanaka, G. Yamanokuchi, Y. Shibutani
    • Journal Title

      Physical Review E

      Volume: 104 Issue: 4

    • DOI

      10.1103/physreve.104.045001

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Primitive rotation mechanism of periodic stellated octahedron units with sharing edges2020

    • Author(s)
      H. Tanaka, K. Suga, Y. Shibutani
    • Journal Title

      International Journal of Solids and Structure

      Volume: 185-186 Pages: 485-499

    • DOI

      10.1016/j.ijsolstr.2019.09.013

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Macroscopic out-of-plane auxetic features of a laminated open-cell structure with in-plane negative Poisson's ratios induced by bridging beam components2018

    • Author(s)
      K. Suga, H. Tanaka, D. Okumura, Y. Shibutani
    • Journal Title

      Smart Materials and Structures

      Volume: 27 Issue: 8 Pages: 085011-085011

    • DOI

      10.1088/1361-665x/aacd31

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Transition mechanism for a periodic bar-and-joint framework with limited degrees of freedom controlled by uniaxial load and internal stiffness2018

    • Author(s)
      H. Tanaka, K. Hamada, Y. Shibutani
    • Journal Title

      Royal Society Open Science

      Volume: 5 Issue: 6 Pages: 180139-180139

    • DOI

      10.1098/rsos.180139

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Presentation] Slow auxetic vibration of a tetrahedral framework with sharing edges2022

    • Author(s)
      H. Tanaka, S. Asao, Y. Shibutani
    • Organizer
      The 11th European Solid Mechanics Conference (ESMC2022)
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 稜共有型四面体構造の低周波数振動とポアソン効果に関する研究2022

    • Author(s)
      浅生隼希,田中展,渋谷陽二
    • Organizer
      関西支部第97期定時総会講演会
    • Related Report
      2021 Annual Research Report
  • [Presentation] 回転摩擦を考慮した多関節線状弾性体の変形立体化シミュレーション2022

    • Author(s)
      関悠治,田中展,渋谷陽二
    • Organizer
      関西支部第97期定時総会講演会
    • Related Report
      2021 Annual Research Report
  • [Presentation] 周期構造の低自由度モデル(メカニカルメタマテリアル)とその非線形力学解析2021

    • Author(s)
      田中展
    • Organizer
      関西支部第97期定時総会講演会
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Mechanical and auxetic properties of polyhedral units with sharing edges2021

    • Author(s)
      H. Tanaka, S. Asao, Y. Shibutani
    • Organizer
      SIAM Conference on Mathematical Aspects of Materials Science (SIAM-MS21)
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 2次元粘弾性構造体の形態変化分岐に関する力学応答解析2021

    • Author(s)
      山之口岳杜,田中展,渋谷陽二
    • Organizer
      関西支部第96期定時総会講演会
    • Related Report
      2020 Annual Research Report
  • [Presentation] 弾性波バンドギャップをもつ格子構造の有限セルにおける波動伝搬評価2021

    • Author(s)
      安達亮弥,田中展,渋谷陽二
    • Organizer
      関西学生会2020年度学生員卒業研究発表講演会
    • Related Report
      2020 Annual Research Report
  • [Presentation] Switching behaviors in a viscoelastic structural model depending on loading rate2020

    • Author(s)
      Hiro Tanaka, Gakuto Yamanokuchi, Yoji Shibutani
    • Organizer
      The 3rd International Conference on Computational Engineering and Science for Safety and Environmental Problems (COMPSAFE2020),
    • Related Report
      2020 Annual Research Report
  • [Presentation] 周方向圧縮力を受ける環状弾性体の立体構造と非線形線形挙動2019

    • Author(s)
      田中 展, 南條 隆正,関 悠治, 渋谷 陽二
    • Organizer
      日本機械学会 M&M2019材料力学カンファレンス
    • Related Report
      2019 Annual Research Report
  • [Presentation] Nonlinear tensile deformation of periodic polyhedral units induced by three-dimensional rotation2019

    • Author(s)
      H. Tanaka, K. Suga, Y. Shibutani
    • Organizer
      56th Annual Technical Meeting of the Society of Engineering Science (SES2019)
    • Related Report
      2019 Annual Research Report
  • [Presentation] 単軸引張負荷における4面体ブロック構造体の膨張効果と特殊変形機構2019

    • Author(s)
      田中 展, 須賀 海斗, 渋谷 陽二
    • Organizer
      日本機械学会 2019年度年次大会
    • Related Report
      2019 Annual Research Report
  • [Presentation] 負のポアソン比を持つ多面体ブロック構造のモデリングと力学特性評価2019

    • Author(s)
      須賀海斗, 田中 展, 渋谷陽二
    • Organizer
      関西支部第94期定時総会講演会
    • Related Report
      2018 Annual Research Report
  • [Presentation] 負荷速度に依存した周期リンク構造の変形遷移メカニズムに関する力学応答解析2019

    • Author(s)
      山之口岳杜,田中展,渋谷陽二
    • Organizer
      関西学生会2018年度学生員卒業研究発表講演会
    • Related Report
      2018 Annual Research Report
  • [Presentation] 周期構造システムの変形パターンの切り替えと負荷速度依存性2018

    • Author(s)
      田中 展, 山之口 岳杜,浜田 一駿, 渋谷 陽二
    • Organizer
      日本機械学会 M&M2018材料力学カンファレンス
    • Related Report
      2018 Annual Research Report
  • [Presentation] 計算力学に基づくセル状固体の非線形力学特性の解明とその応用2018

    • Author(s)
      田中 展
    • Organizer
      日本学術会議 第8回計算力学シンポジウム
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] 単軸引張変形下において負のポアソン比を示す積層セル構造体の面外力学応答のモデル化2018

    • Author(s)
      田中 展, 須賀 海斗,奥村 大, 渋谷 陽二
    • Organizer
      日本機械学会 第31回計算力学講演会
    • Related Report
      2018 Annual Research Report
  • [Presentation] Elastic and viscoelastic transition responses of specific repetitive structural systems subjected to uniaxial compressive loading2018

    • Author(s)
      H. Tanaka, K. Hamada, G. Yamanokuchi, Y. Shibutani
    • Organizer
      International Mechanical Engineering Congress & Exposition (IMECE2018)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Homogenized linear and nonlinear elastic properties of a type of laminated open-cell structures with negative Poisson's ratios2018

    • Author(s)
      K. Suga, H. Tanaka, D. Okumura, Y. Shibutani
    • Organizer
      15th International Symposium on Functionally Graded Materials (ISFGMs2018)
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Remarks] researchmap

    • URL

      https://researchmap.jp/pmx003

    • Related Report
      2021 Annual Research Report
  • [Remarks] 大阪大学研究者総覧

    • URL

      https://rd.iai.osaka-u.ac.jp/ja/cd0794924bc41e39.html

    • Related Report
      2021 Annual Research Report
  • [Remarks] 渋谷研究室HP

    • Related Report
      2021 Annual Research Report
  • [Remarks] 大阪大学研究者総覧

    • URL

      http://www.dma.jim.osaka-u.ac.jp/view?l=ja&u=6364

    • Related Report
      2020 Annual Research Report 2019 Annual Research Report 2018 Annual Research Report
  • [Remarks] 渋谷研究室HP

    • Related Report
      2020 Annual Research Report
  • [Remarks] 渋谷研究室HP

    • URL

      http://www-comec.mech.eng.osaka-u.ac.jp/index.html

    • Related Report
      2019 Annual Research Report 2018 Annual Research Report

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Published: 2018-04-23   Modified: 2023-01-30  

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