Nonlinear mechanics of thin frames

Michael Moshe, Edward Esposito, Suraj Shankar, Baris Bircan, Itai Cohen, David R. Nelson, Mark John Bowick

Research output: Contribution to journalArticle

2 Citations (Scopus)

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.

Original languageEnglish (US)
Article number013002
JournalPhysical Review E
Volume99
Issue number1
DOIs
StatePublished - Jan 28 2019

Fingerprint

Mechanics
Defects
perforation
incompatibility
Charge
defects
buckling
Effective Properties
Long-range Interactions
Elastic Properties
Buckling
elastic properties
Mechanical Properties
mechanical properties
curves
Partial
configurations
Curve
Configuration
Dependent

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

Moshe, M., Esposito, E., Shankar, S., Bircan, B., Cohen, I., Nelson, D. R., & Bowick, M. J. (2019). Nonlinear mechanics of thin frames. Physical Review E, 99(1), [013002]. https://doi.org/10.1103/PhysRevE.99.013002

Nonlinear mechanics of thin frames. / Moshe, Michael; Esposito, Edward; Shankar, Suraj; Bircan, Baris; Cohen, Itai; Nelson, David R.; Bowick, Mark John.

In: Physical Review E, Vol. 99, No. 1, 013002, 28.01.2019.

Research output: Contribution to journalArticle

Moshe, M, Esposito, E, Shankar, S, Bircan, B, Cohen, I, Nelson, DR & Bowick, MJ 2019, 'Nonlinear mechanics of thin frames', Physical Review E, vol. 99, no. 1, 013002. https://doi.org/10.1103/PhysRevE.99.013002
Moshe M, Esposito E, Shankar S, Bircan B, Cohen I, Nelson DR et al. Nonlinear mechanics of thin frames. Physical Review E. 2019 Jan 28;99(1). 013002. https://doi.org/10.1103/PhysRevE.99.013002
Moshe, Michael ; Esposito, Edward ; Shankar, Suraj ; Bircan, Baris ; Cohen, Itai ; Nelson, David R. ; Bowick, Mark John. / Nonlinear mechanics of thin frames. In: Physical Review E. 2019 ; Vol. 99, No. 1.
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