- Physical Review Journals
All JournalsPhysics Magazine

Physical Review E

Export citation

Export citation

Choose format for download:

Download Citation

    Nonlinear mechanics of thin frames

    Michael Moshe1,2,*, Edward Esposito3, Suraj Shankar2,4,†, Baris Bircan5, Itai Cohen3,‡, David R. Nelson1,§, and Mark J. Bowick2,4,∥

    • 1Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA
    • 2Physics Department and Syracuse Soft and Living Matter Program, Syracuse University, Syracuse, New York 13244, USA
    • 3Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853, USA
    • 4Kavli Institute for Theoretical Physics, University of California, Santa Barbara, California 93106, USA
    • 5School of Applied and Engineering Physics, Cornell University, Ithaca, New York 14853, USA

    • *Present address: Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem 91904, Israel; michael.moshe@mail.huji.ac.il
    • †sushanka@syr.edu
    • ‡itai.cohen@cornell.edu
    • §nelson@physics.harvard.edu
    • ∥bowick@kitp.ucsb.edu
    PDF

    Phys. Rev. E 99, 013002 – Published 28 January, 2019

    DOI: https://doi.org/10.1103/PhysRevE.99.013002

    Abstract

    The dramatic effect kirigami, such as hole cutting, has on the elastic properties of thin sheets invites a study of the mechanics of thin elastic frames under an external load. Such frames can be thought of as modular elements needed to build any kirigami pattern. Here we develop the technique of elastic charges to address a variety of elastic problems involving thin sheets with perforations, focusing on frames with sharp corners. We find that holes generate elastic defects (partial disclinations), which act as sources of geometric incompatibility. Numerical and analytic studies are made of three different aspects of loaded frames—the deformed configuration itself, the effective mechanical properties in the form of force-extension curves, and the buckling transition triggered by defects. This allows us to understand generic kirigami mechanics in terms of a set of force-dependent elastic charges with long-range interactions.

    View figure in article

    Physics Subject Headings (PhySH)

    See Also

    Kirigami Mechanics as Stress Relief by Elastic Charges

    Michael Moshe, Edward Esposito, Suraj Shankar, Baris Bircan, Itai Cohen, David R. Nelson, and Mark J. Bowick
    Phys. Rev. Lett. 122, 048001 (2019)

    Authorization Required

    We need you to provide your credentials before accessing this content.
    Article Available via CHORUS
    Download Accepted Manuscript

    Other Options

    Supplemental Material (Subscription Required)

    References (Subscription Required)

    Outline

    Information

    Phys. Rev. E 99, 013002– Published 28 January, 2019
    • Received 13 August 2018
    Crossmark - Check for updates button

    ©2019 American Physical Society

    Sign In to Your Journals Account

    Filter

    Filter

    Article Lookup

    Enter a citation