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Geometric elasticity: Flexibility, rigidity, and functionality

Research Project

Project/Area Number 18K18741
Research Category

Grant-in-Aid for Challenging Research (Exploratory)

Allocation TypeMulti-year Fund
Review Section Medium-sized Section 13:Condensed matter physics and related fields
Research InstitutionRitsumeikan University

Principal Investigator

Wada Hirofumi  立命館大学, 理工学部, 教授 (50456753)

Project Period (FY) 2018-06-29 – 2020-03-31
Project Status Completed (Fiscal Year 2019)
Budget Amount *help
¥6,240,000 (Direct Cost: ¥4,800,000、Indirect Cost: ¥1,440,000)
Fiscal Year 2019: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2018: ¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Keywords幾何的な弾性論 / 構造力学 / スナップ / 座屈 / 弾性シェル / 折り紙の力学 / かみばね / スナップフィット / 幾何力学 / スナップ座屈 / 幾何学的剛性 / 幾何学的な剛性 / 植物のかたち
Outline of Final Research Achievements

In this research project, we have studied mechanics of slender elastic structures such as a ribbon, shell, and origami by combining experiment and theory. Specifically, we have obtained the major results in four different research subjects. First, we have investigated the persistence of pinch in an open semi-cylindrical shell and discussed its relevance to the geometric rigidity of a shell with open free edges. Second, we have revealed a novel snapping dynamics found in a bent and twisted elastic ribbon, and discussed its potential applications to soft robotics. Third, we have studied the design and mechanics of a paper spring that is known as a popular origami-like craft for kids, and clarified its remarkable geometric coupling between stretch and twist. Finally, we have studied a physical basis for "snap-fits" widely used in industrial products, by constructing a simple snap-fit system with a cylindrical shell.

Academic Significance and Societal Importance of the Research Achievements

本研究の主題は、物体の変形の様子や、硬い柔らかいといった印象についてであり、誰もが手で触って確かめることができる性質である。薄い構造は、木々の葉っぱから卵の殻、折り紙、衣服、自動車の車体など、我々の身のまわりにあふれている。多くの場合、これらの構造はその目的にかなう機能性を備えており、その機能を実現するために適した力学特性を持っている。本研究は、そのような特性がいかにして材質とかたちから創発するのかを明らかにする。研究対象は「スナップ」や「かみばね」など親しみやすいものを含むが、得られた概念は一般的なものであり、身近な対象を深く理解する楽しみとともに、工業デザインへの潜在的な応用性を提供する。

Report

(3 results)
  • 2019 Annual Research Report   Final Research Report ( PDF )
  • 2018 Research-status Report
  • Research Products

    (8 results)

All 2019 2018

All Journal Article (4 results) (of which Peer Reviewed: 4 results,  Open Access: 1 results) Presentation (2 results) (of which Int'l Joint Research: 1 results,  Invited: 1 results) Book (1 results) Funded Workshop (1 results)

  • [Journal Article] Structure, design, and mechanics of a paper spring2019

    • Author(s)
      Taiju Yoneda, Daichi Matsumoto and Hirofumi Wada
    • Journal Title

      Physical Review E

      Volume: 100 Issue: 1 Pages: 013003-013003

    • DOI

      10.1103/physreve.100.013003

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] しなやかさとともにかたちあり --弾性と幾何2019

    • Author(s)
      佐野友彦 和田浩史
    • Journal Title

      日本物理学会誌

      Volume: 74 Pages: 822-829

    • NAID

      130007843280

    • Related Report
      2019 Annual Research 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 Research-status 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 Research-status Report
    • Peer Reviewed
  • [Presentation] からくり玩具パタパタ(ヤコブの梯子)の力学模型2019

    • Author(s)
      和田浩史
    • Organizer
      日本物理学会 2019年秋季大会
    • Related Report
      2019 Annual Research Report
  • [Presentation] A snapping ribbon, cone, and cylinder2019

    • Author(s)
      Hirofumi Wada
    • Organizer
      GFS follow on: Mathematics of form in active and inactive media
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Book] Plant Biomechanics ("Twsiting Growth in Plant Roots"の章を執筆)2018

    • Author(s)
      Hirofumi Wada and Diachi Matsumoto
    • Total Pages
      441
    • Publisher
      Springer
    • ISBN
      9783319790985
    • Related Report
      2018 Research-status Report
  • [Funded Workshop] APEF20182018

    • Related Report
      2018 Research-status Report

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Published: 2018-07-25   Modified: 2021-02-19  

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