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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]
  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 Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1257858
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:
Journal Article: 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.
Yasuda, H., Chong, C., Charalampidis, E. G., Kevrekidis, P. G., & Yang, J. Formation of rarefaction waves in origami-based metamaterials. United States. doi:10.1103/PhysRevE.93.043004.
Yasuda, H., Chong, C., Charalampidis, E. G., Kevrekidis, P. G., and Yang, J. 2016. "Formation of rarefaction waves in origami-based metamaterials". United States. doi:10.1103/PhysRevE.93.043004. https://www.osti.gov/servlets/purl/1257858.
@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 = 2016,
month = 4
}

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Cited by: 4works
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