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Designing principles of mechanical metamaterials based on the studies of heterogeneous elastic materials

Research Project

Project/Area Number 18K13519
Research Category

Grant-in-Aid for Early-Career Scientists

Allocation TypeMulti-year Fund
Review Section Basic Section 13040:Biophysics, chemical physics and soft matter physics-related
Research InstitutionKeio University (2021-2023)
Ritsumeikan University (2018)

Principal Investigator

Sano Tomohiko  慶應義塾大学, 理工学部(矢上), 講師 (00791378)

Project Period (FY) 2021-03-01 – 2024-03-31
Project Status Completed (Fiscal Year 2023)
Budget Amount *help
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2021: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2020: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2019: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2018: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Keywords力学と幾何学 / 弾性体 / ソフトマテリアル / ソフトロボティクス / メカニカルメタマテリアル / 弾性論 / しなやかな材料 / 力学 / 幾何学 / しなやかな構造 / シェルの力学 / 複雑系 / ソフトマター / Crumpled paper / ソフトマター物理 / 構造力学
Outline of Research at the Start

複雑な内部自由度をもつ構造物の力学応答をデザインする指針を明らかにする。一般に、自然な構造物では通常起こり得ない特異な力学特性を示す材料は、メカニカルメタマテリアルと呼ばれる。構造を圧縮すると通常は圧縮方向に垂直にふくらむ(ポアソン比が正)が、逆に垂直にも縮むもの(ポアソン比が負)が例として挙げられる。メカニカルメタマテリアルは対称性の高い内部構造を用いて開発されており、その非対称性や乱れが全体に与える影響は明らかにされていない。本研究は構造の乱れと不均一性がメカニカルメタマテリアルに与える影響を系統的に考察することにより、力学応答を自在にデザインするための指針を解明する。

Outline of Final Research Achievements

The purpose of this study was to experimentally clarify the mechanical response of an assembly of shell structures, where the microstructure is a precisely designable shell. Among shell structures, an assembly of curved beam structures was considered. Cylindrical shells with uniform spontaneous curvature were created, and the mechanical properties of the aggregates were clarified by observing the large deformation when two cylindrical shells are pressed against each other. It was found that the shells fit into each other and can compress with a low overall load. In other words, shell aggregates are found to be useful as buffer materials based on geometry.

Academic Significance and Societal Importance of the Research Achievements

シェル集合体は緩衝材として使用することが可能である.例えば圧縮の最大荷重を決めておき、その荷重に達するのに必要な最大変位を定めればシェルのデザインを決定できる.そして圧縮と展開のサイクル試験におけるエネルギー散逸率は形状にあまり強く依存せずロバストな散逸性能が引き出せる。上記の実験結果はコンピュータグラフィクス計算によるシミュレーションと正確な一致を見せている.実験でその妥当性を検証した上で,実験で変化させることが難しい摩擦係数依存性も明らかにした.コンピュータグラフィクスが材料変形の予測に利用できることを示しており,材料力学の新しい研究の方向性を示したとも言える.

Report

(5 results)
  • 2023 Annual Research Report   Final Research Report ( PDF )
  • 2022 Research-status Report
  • 2021 Research-status Report
  • 2018 Annual Research Report
  • Research Products

    (22 results)

All 2023 2022 2019 2018 Other

All Int'l Joint Research (3 results) Journal Article (7 results) (of which Int'l Joint Research: 4 results,  Peer Reviewed: 7 results,  Open Access: 5 results) Presentation (12 results) (of which Int'l Joint Research: 9 results,  Invited: 2 results)

  • [Int'l Joint Research] INRIA, CNRS, Universite Grenoble Alpes(フランス)

    • Related Report
      2023 Annual Research Report
  • [Int'l Joint Research] Ecole polytechnique federale de Lausanne(スイス)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] Harvard University(米国)

    • Related Report
      2018 Annual Research Report
  • [Journal Article] Randomly stacked open cylindrical shells as functional mechanical energy absorber2023

    • Author(s)
      Sano Tomohiko G.、Hohnadel Emile、Kawata Toshiyuki、Metivet Thibaut、Bertails-Descoubes Florence
    • Journal Title

      Communications Materials

      Volume: 4 Issue: 1 Pages: 59-59

    • DOI

      10.1038/s43246-023-00383-2

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Exploring the inner workings of the clove hitch knot2022

    • Author(s)
      Sano Tomohiko G.、Johanns Paul、Grandgeorge Paul、Baek Changyeob、Reis Pedro M.
    • Journal Title

      Extreme Mechanics Letters

      Volume: 55 Pages: 101788-101788

    • DOI

      10.1016/j.eml.2022.101788

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] An elastic rod in frictional contact with a rigid cylinder2022

    • Author(s)
      Grandgeorge Paul、Sano Tomohiko G.、Reis Pedro M.
    • Journal Title

      Journal of the Mechanics and Physics of Solids

      Volume: 164 Pages: 104885-104885

    • DOI

      10.1016/j.jmps.2022.104885

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] A Kirchhoff-like theory for hard magnetic rods under geometrically nonlinear deformation in three dimensions2022

    • Author(s)
      Sano Tomohiko G.、Pezzulla Matteo、Reis Pedro M.
    • Journal Title

      Journal of the Mechanics and Physics of Solids

      Volume: 160 Pages: 104739-104739

    • DOI

      10.1016/j.jmps.2021.104739

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Reduced theory for hard magnetic rods with dipole-dipole interactions2022

    • Author(s)
      Sano Tomohiko G
    • Journal Title

      Journal of Physics A: Mathematical and Theoretical

      Volume: 55 Issue: 10 Pages: 104002-104002

    • DOI

      10.1088/1751-8121/ac4de2

    • Related Report
      2022 Research-status Report
    • Peer Reviewed
  • [Journal Article] Twist-induced snapping in a bent elastic rod and ribbon2019

    • Author(s)
      Tomohiko G. Sano and Hirofumi Wada
    • Journal Title

      Physical Review Letters

      Volume: 122 Issue: 11 Pages: 114301-114301

    • DOI

      10.1103/physrevlett.122.114301

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Pinching an open cylindrical shell: Extended deformation and its persistence2018

    • Author(s)
      Daichi Matsumoto, Tomohiko G. Sano, and Hirofumi Wada
    • Journal Title

      EPL (Europhysics Letters)

      Volume: 123 Issue: 1 Pages: 14001-14001

    • DOI

      10.1209/0295-5075/123/14001

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Presentation] Crack propagation on bilayer spherical shells2023

    • Author(s)
      T Sano, N Sekiya, Y Akiba
    • Organizer
      the American Physical Society March Meeting
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Jumping dynamics of spherical shells driven by snap-through buckling2023

    • Author(s)
      T Abe, S Shimizu, Y Nakahara, H Takahashi, G Ishigami, T Sano
    • Organizer
      the American Physical Society March Meeting
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Bending deformation of tape-springs by a curved indenter2023

    • Author(s)
      S Nomura, T Sano
    • Organizer
      the American Physical Society March Meeting
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Bending rigidity of fluid-running tubes2023

    • Author(s)
      S Shibuya, T Sano
    • Organizer
      the American Physical Society March Meeting
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Investigating the compaction of open ring stacks through real and numerical experiments2023

    • Author(s)
      T Metivet, E Hohnadel, TG Sano, T Kawata, F Bertails-Descoubes
    • Organizer
      HFSS 2023-International Conference on Highly Flexible Slender Structures
    • Related Report
      2023 Annual Research Report
  • [Presentation] 構造物のしなやかなに関する理論的および実験的研究-摩擦、座屈、飛び移り座屈-2019

    • Author(s)
      佐野友彦
    • Organizer
      日本物理学会年次大会
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Twist-induced snapping in a bent elastic ribbon2019

    • Author(s)
      Tomohiko Sano and Hirofumi Wada
    • Organizer
      APS March meeting
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Twist-induced snapping in a bent elastic ribbon2018

    • Author(s)
      Tomohiko Sano
    • Organizer
      Advances in Physics of Emergent orders in Fluctuations
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 板の接触と滑りのメカニズムと関連する話題2018

    • Author(s)
      佐野友彦
    • Organizer
      計算粉体力学研究会
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Twist-induced snapping in a bent elastic ribbon2018

    • Author(s)
      Tomohiko G Sano
    • Organizer
      Yukawa Institute of Theoretical Physics, Research Seminar
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Slip morphology of strips: Inspiration from plant-soil mechanical interactions2018

    • Author(s)
      Tomohiko Sano and Hirofumi Wada
    • Organizer
      Plant Biomechanics
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Twist-induced snap-buckling in a bent elastic ribbon2018

    • Author(s)
      Tomohiko G Sano
    • Organizer
      Instabilities in Solid Mechanics, GDR MePhy
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research

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Published: 2018-04-23   Modified: 2025-01-30  

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