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Title: Formation of rarefaction waves in origami-based metamaterials

Abstract

Here, we investigate the nonlinear wave dynamics of origami-based metamaterials composed of Tachi-Miura polyhedron (TMP) unit cells. These cells exhibit strain softening behavior under compression, which can be tuned by modifying their geometrical configurations or initial folded conditions. We assemble these TMP cells into a cluster of origami-based metamaterials, and we theoretically model and numerically analyze their wave transmission mechanism under external impact. Numerical simulations show that origami-based metamaterials can provide a prototypical platform for the formation of nonlinear coherent structures in the form of rarefaction waves, which feature a tensile wavefront upon the application of compression to the system. We also demonstrate the existence of numerically exact traveling rarefaction waves in an effective lumped-mass model. Origami-based metamaterials can be highly useful for mitigating shock waves, potentially enabling a wide variety of engineering applications.

Authors:
 [1];  [2];  [3];  [4];  [1]
+ Show Author Affiliations
  1. Univ. of Washington, Seattle, WA (United States)
  2. Swiss Federal Institute of Technology (ETH), Zurich (Switzerland); Bowdoin College, Brunswick, ME (United States)
  3. Univ. of Massachusetts, Amherst, MA (United States)
  4. Univ. of Massachusetts, Amherst, MA (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1257858
Alternate Identifier(s):
OSTI ID: 1247832
Report Number(s):
LA-UR-15-22277
Journal ID: ISSN 2470-0045; PLEEE8
Grant/Contract Number:  
1553202; DMS-1312856; N000141410388; UD140059JD; W911NF-15-1-0604; FA9550-12-10332; 605096; 2010239; ESC-A 06-14; AC52-06NA25396
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review E
Additional Journal Information:
Journal Volume: 93; Journal Issue: 4; Journal ID: ISSN 2470-0045
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; 97 MATHEMATICS AND COMPUTING

Citation Formats

Yasuda, H., Chong, C., Charalampidis, E. G., Kevrekidis, P. G., and Yang, J. Formation of rarefaction waves in origami-based metamaterials. United States: N. p., 2016. Web. doi:10.1103/PhysRevE.93.043004.
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Yasuda, H., Chong, C., Charalampidis, E. G., Kevrekidis, P. G., & Yang, J. Formation of rarefaction waves in origami-based metamaterials. United States. https://doi.org/10.1103/PhysRevE.93.043004
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Yasuda, H., Chong, C., Charalampidis, E. G., Kevrekidis, P. G., and Yang, J. Fri . "Formation of rarefaction waves in origami-based metamaterials". United States. https://doi.org/10.1103/PhysRevE.93.043004. https://www.osti.gov/servlets/purl/1257858.
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@article{osti_1257858,
title = {Formation of rarefaction waves in origami-based metamaterials},
author = {Yasuda, H. and Chong, C. and Charalampidis, E. G. and Kevrekidis, P. G. and Yang, J.},
abstractNote = {Here, we investigate the nonlinear wave dynamics of origami-based metamaterials composed of Tachi-Miura polyhedron (TMP) unit cells. These cells exhibit strain softening behavior under compression, which can be tuned by modifying their geometrical configurations or initial folded conditions. We assemble these TMP cells into a cluster of origami-based metamaterials, and we theoretically model and numerically analyze their wave transmission mechanism under external impact. Numerical simulations show that origami-based metamaterials can provide a prototypical platform for the formation of nonlinear coherent structures in the form of rarefaction waves, which feature a tensile wavefront upon the application of compression to the system. We also demonstrate the existence of numerically exact traveling rarefaction waves in an effective lumped-mass model. Origami-based metamaterials can be highly useful for mitigating shock waves, potentially enabling a wide variety of engineering applications.},
doi = {10.1103/PhysRevE.93.043004},
journal = {Physical Review E},
number = 4,
volume = 93,
place = {United States},
year = {Fri Apr 15 00:00:00 EDT 2016},
month = {Fri Apr 15 00:00:00 EDT 2016}
}
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https://doi.org/10.1103/PhysRevE.93.043004
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Works referenced in this record:

Flight status of IKAROS deep space solar sail demonstrator
journal, November 2011

Accommodating Thickness in Origami-Based Deployable Arrays1
journal, October 2013

  • Zirbel, Shannon A.; Lang, Robert J.; Thomson, Mark W.
  • Journal of Mechanical Design, Vol. 135, Issue 11
  • DOI: 10.1115/1.4025372

The geometry of unfolding tree leaves
journal, January 1998

  • Kobayashi, H.; Kresling, B.; Vincent, J. F. V.
  • Proceedings of the Royal Society of London. Series B: Biological Sciences, Vol. 265, Issue 1391
  • DOI: 10.1098/rspb.1998.0276

Folding Wings like a Cockroach: A Review of Transverse Wing Folding Ensign Wasps (Hymenoptera: Evaniidae: Afrevania and Trissevania)
journal, May 2014

Geometry of Miura-folded metamaterials
journal, February 2013

  • Schenk, Mark; Guest, Simon D.
  • Proceedings of the National Academy of Sciences, Vol. 110, Issue 9
  • DOI: 10.1073/pnas.1217998110

Geometric Mechanics of Periodic Pleated Origami
journal, May 2013

Origami interleaved tube cellular materials
journal, August 2014

Reentrant Origami-Based Metamaterials with Negative Poisson’s Ratio and Bistability
journal, May 2015

Novel stacked folded cores for blast-resistant sandwich beams
journal, December 2014

Observation of Depression Solitary Surface Waves on a Thin Fluid Layer
journal, October 2002

Propagation of Rarefaction Pulses in Discrete Materials with Strain-Softening Behavior
journal, April 2013

Dynamics of Heterogeneous Materials
book, January 2001

Solitary waves in the granular chain
journal, June 2008

Non-linear waves in lattices: past, present, future
journal, April 2011

Multiscale tunability of solitary wave dynamics in tensegrity metamaterials
journal, November 2014

  • Fraternali, Fernando; Carpentieri, Gerardo; Amendola, Ada
  • Applied Physics Letters, Vol. 105, Issue 20
  • DOI: 10.1063/1.4902071

Introduction: The Fermi–Pasta–Ulam problem—The first fifty years
journal, March 2005

  • Campbell, David K.; Rosenau, Phillip; Zaslavsky, George M.
  • Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 15, Issue 1
  • DOI: 10.1063/1.1889345

Low-frequency wave propagation in post-buckled structures
journal, March 2014

Discrete breathers — Advances in theory and applications
journal, October 2008

Discrete Breathers: Localization and transfer of energy in discrete Hamiltonian nonlinear systems
journal, April 2006

Traveling waves for monomer chains with precompression
journal, January 2013

Perturbation Theory for Linear Operators
book, January 1995

The Quadratic Eigenvalue Problem
journal, January 2001

Jacobi-davidson type methods for generalized eigenproblems and polynomial eigenproblems
journal, September 1996

  • Sleijpen, Gerard L. G.; Booten, Albert G. L.; Fokkema, Diederik R.
  • BIT Numerical Mathematics, Vol. 36, Issue 3
  • DOI: 10.1007/BF01731936

Folding Wings like a Cockroach: A Review of Transverse Wing Folding Ensign Wasps (Hymenoptera: Evaniidae: Afrevania and Trissevania)
text, January 2014

  • István, Mikó,; P., Balhoff, James; J., Yoder, Matthew
  • The University of North Carolina at Chapel Hill University Libraries
  • DOI: 10.17615/68wr-sk07

Perturbation Theory for Linear Operators
journal, January 1968

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