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The role of cracks on the out-of-plane rotations, plasticity and fracture in kirigami structures

Research Project

Project/Area Number 18K18065
Research Category

Grant-in-Aid for Early-Career Scientists

Allocation TypeMulti-year Fund
Review Section Basic Section 60100:Computational science-related
Research InstitutionJapan Agency for Marine-Earth Science and Technology

Principal Investigator

Barbieri Ettore  国立研究開発法人海洋研究開発機構, 付加価値情報創生部門(数理科学・先端技術研究開発センター), 主任研究員 (10816284)

Project Period (FY) 2018-04-01 – 2020-03-31
Project Status Completed (Fiscal Year 2019)
Budget Amount *help
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2019: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2018: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Keywordskirigami / meshless / large deformations / large rotations / plates / analytical solutions / modelling / buckling / Kirigami / Fracture / Mechanics / Computational / Plasticity
Outline of Final Research Achievements

With my simulations, I clarified that the out-of-plane rotations could not emerge naturally as a consequence of the introduction of the cuts. Instead, they represent a mechanical instability that can be obtained only with a buckling analysis. Another achievement was the implementation of a large rotation plate theory.
This theory led me to obtain unforeseen results in folding of plates, which are akin more to origami structures. Folds in a sheet can be seen as discontinuities in the rotations, just like cracks are discontinuities in the displacements. This idea brought me to publish two papers in this field and opening up a new line of research. Finally, a significant accomplishment was the actual use of my computational and theoretical results in a real application. My collaborators manufactured multifunctional silk kirigami. My model guided and supported the experimental findings, provided insights into the deformation and fracture, including the presence of self-shielding cuts.

Academic Significance and Societal Importance of the Research Achievements

切り紙の力学についての研究は発展途上であり、特にその変形様式によって、伸縮許容量がどのように変化するのかを理解することが大きな課題。本研究では、数値シミュレーションにより伸縮許容量を適切に見積もることが出来た。これらの成果は査読付き論文2編にて発表し、学術的に評価を受けた。また、得られた知見の応用範囲は広くその対象は伸縮可能な電子機器、エネルギー貯蔵装置、ヒーター、マイクロ波吸収服などのデバイスなど多岐に渡り、アメリカとの国際共同研究における製造技術開発にも貢献した。

Report

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

    (14 results)

All 2020 2019 2018

All Journal Article (11 results) (of which Int'l Joint Research: 6 results,  Open Access: 5 results) Presentation (3 results) (of which Invited: 2 results)

  • [Journal Article] Micromechanics of liquid-phase exfoliation of a layered 2D material: A hydrodynamic peeling model2020

    • Author(s)
      Salussolia Giulia、Barbieri Ettore、Pugno Nicola Maria、Botto Lorenzo
    • Journal Title

      Journal of the Mechanics and Physics of Solids

      Volume: 134 Pages: 103764-103764

    • DOI

      10.1016/j.jmps.2019.103764

    • Related Report
      2019 Annual Research Report
  • [Journal Article] Reduction of fibrillar strain-rate sensitivity in steroid-induced osteoporosis linked to changes in mineralized fibrillar nanostructure2020

    • Author(s)
      Xi L.、De Falco P.、Barbieri E.、Karunaratne A.、Bentley L.、Esapa C.T.、Davis G.R.、Terrill N.J.、Cox R.D.、Pugno N.M.、Thakker R.V.、Weinkamer R.、Wu W.W.、Fang D.N.、Gupta H.S.
    • Journal Title

      Bone

      Volume: 131 Pages: 115111-115111

    • DOI

      10.1016/j.bone.2019.115111

    • Related Report
      2019 Annual Research Report
  • [Journal Article] Biofunctional Silk Kirigami With Engineered Properties2020

    • Author(s)
      Pradhan Sayantan、Ventura Leonardo、Agostinacchio Francesca、Xu Meng、Barbieri Ettore、Motta Antonella、Pugno Nicola M.、Yadavalli Vamsi K.
    • Journal Title

      ACS Applied Materials & Interfaces

      Volume: 12 Issue: 11 Pages: 12436-12444

    • DOI

      10.1021/acsami.9b20691

    • Related Report
      2019 Annual Research Report
  • [Journal Article] Proteoglycan degradation mimics static compression by altering the natural gradients in fibrillar organisation in cartilage2019

    • Author(s)
      Inamdar Sheetal R.、Barbieri Ettore、Terrill Nicholas J.、Knight Martin M.、Gupta Himadri S.
    • Journal Title

      Acta Biomaterialia

      Volume: 97 Pages: 437-450

    • DOI

      10.1016/j.actbio.2019.07.055

    • Related Report
      2019 Annual Research Report
  • [Journal Article] Matrix-induced pre-strain and mineralization-dependent interfibrillar shear transfer enable 3D fibrillar deformation in a biogenic armour2019

    • Author(s)
      Wang Yanhong、Zhang Yi、Terrill Nicholas J.、Barbieri Ettore、Pugno Nicola M.、Gupta Himadri S.
    • Journal Title

      Acta Biomaterialia

      Volume: 100 Pages: 18-28

    • DOI

      10.1016/j.actbio.2019.09.036

    • Related Report
      2019 Annual Research Report
  • [Journal Article] A meshless method for the nonlinear von K?rm?n plate with multiple folds of complex shape2019

    • Author(s)
      Barbieri Ettore、Ventura Leonardo、Grignoli Davide、Bilotti Emiliano
    • Journal Title

      Computational Mechanics

      Volume: 1 Issue: 3 Pages: 1-19

    • DOI

      10.1007/s00466-019-01671-w

    • Related Report
      2018 Research-status Report
    • Open Access / Int'l Joint Research
  • [Journal Article] Curvature Tuning in Folded Strips Through Hyperstatic Applied Rotations2019

    • Author(s)
      Ettore Barbieri
    • Journal Title

      Frontiers in Materials

      Volume: 6 Pages: 1-12

    • DOI

      10.3389/fmats.2019.00041

    • Related Report
      2018 Research-status Report
    • Open Access / Int'l Joint Research
  • [Journal Article] Bone matrix development in steroid-induced osteoporosis is associated with a consistently reduced fibrillar stiffness linked to altered bone mineral quality2018

    • Author(s)
      Xi L.、De Falco P.、Barbieri E.、Karunaratne A.、Bentley L.、Esapa C.T.、Terrill N.J.、Brown S.D.M.、Cox R.D.、Davis G.R.、Pugno N.M.、Thakker R.V.、Gupta H.S.
    • Journal Title

      Acta Biomaterialia

      Volume: 76 Pages: 295-307

    • DOI

      10.1016/j.actbio.2018.05.053

    • Related Report
      2018 Research-status Report
    • Open Access / Int'l Joint Research
  • [Journal Article] Mechanics of mutable hierarchical composite cellular materials2018

    • Author(s)
      Ongaro F.、Barbieri E.、Pugno N.M.
    • Journal Title

      Mechanics of Materials

      Volume: 124 Pages: 80-99

    • DOI

      10.1016/j.mechmat.2018.05.006

    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Journal Article] Limitations of Viscoelastic Constitutive Models for Carbon-Black Reinforced Rubber in Medium Dynamic Strains and Medium Strain Rates2018

    • Author(s)
      Carleo Francesca、Barbieri Ettore、Whear Roly、Busfield James
    • Journal Title

      Polymers

      Volume: 10 Issue: 9 Pages: 988-988

    • DOI

      10.3390/polym10090988

    • Related Report
      2018 Research-status Report
    • Open Access / Int'l Joint Research
  • [Journal Article] Breaking the Nanoparticle Loading Dispersion Dichotomy in Polymer Nanocomposites with the Art of Croissant-Making2018

    • Author(s)
      Santagiuliana Giovanni、Picot Olivier T.、Crespo Maria、Porwal Harshit、Zhang Han、Li Yan、Rubini Luca、Colonna Samuele、Fina Alberto、Barbieri Ettore、Spoelstra Anne B.、Mirabello Giulia、Patterson Joseph P.、Botto Lorenzo、Pugno Nicola M.、Peijs Ton、Bilotti Emiliano
    • Journal Title

      ACS Nano

      Volume: 12 Issue: 9 Pages: 9040-9050

    • DOI

      10.1021/acsnano.8b02877

    • Related Report
      2018 Research-status Report
    • Open Access / Int'l Joint Research
  • [Presentation] Cracking me softly - the mechanics of hyperelastic kirigami structures2018

    • Author(s)
      Ettore Barbieri
    • Organizer
      Invited Seminar at IMT Lucca, Italy
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] Eigencurvatures in hyperstatic folded sheet2018

    • Author(s)
      Ettore Barbieri, Leonardo Ventura
    • Organizer
      International Workshop on Computational Mechanics of Materials IWCMM28
    • Related Report
      2018 Research-status Report
  • [Presentation] Curvature tuning in folded sheets through hyperstatic confinement2018

    • Author(s)
      Ettore Barbieri
    • Organizer
      Second European-Latin-American Conference of Theoretical and Applied Mechanics
    • Related Report
      2018 Research-status Report
    • Invited

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Published: 2018-04-23   Modified: 2021-02-19  

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