Uncovering the deformation mechanisms of origami metamaterials by introducing generic degree-four vertices

Hongbin Fang, Suyi Li, Huimin Ji, and K. W. Wang
Phys. Rev. E 94, 043002 – Published 24 October 2016
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Abstract

Origami-based design holds promise for developing new mechanical metamaterials whose overall kinematic and mechanical properties can be programmed using purely geometric criteria. In this article, we demonstrate that the deformation of a generic degree-four vertex (4-vertex) origami cell is a combination of contracting, shearing, bending, and facet-binding. The last three deformation mechanisms are missing in the current rigid-origami metamaterial investigations, which focus mainly on conventional Miura-ori patterns. We show that these mechanisms provide the 4-vertex origami sheets and blocks with new deformation patterns as well as extraordinary kinematical and mechanical properties, including self-locking, tridirectional negative Poisson's ratios, flipping of stiffness profiles, and emerging shearing stiffness. This study reveals that the 4-vertex cells offer a better platform and greater design space for developing origami-based mechanical metamaterials than the conventional Miura-ori cell.

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  • Received 22 January 2016
  • Revised 29 September 2016

DOI:https://doi.org/10.1103/PhysRevE.94.043002

©2016 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Hongbin Fang1,*, Suyi Li2, Huimin Ji1, and K. W. Wang1

  • 1Department of Mechanical Engineering, University of Michigan, Ann Arbor, Michigan 48109, USA
  • 2Department of Mechanical Engineering, Clemson University, Clemson, South Carolina 29634, USA

  • *Corresponding author: hongbinf@umich.edu

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Issue

Vol. 94, Iss. 4 — October 2016

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