Formation of rarefaction waves in origami-based metamaterials

Yasuda, H.; Chong, C.; Charalampidis, E. G.; Kevrekidis, P. G.; Yang, J.

doi:10.1103/PhysRevE.93.043004

Title: Formation of rarefaction waves in origami-based metamaterials

Journal Article · Fri Apr 15 00:00:00 EDT 2016 · Physical Review E

DOI:https://doi.org/10.1103/PhysRevE.93.043004· OSTI ID:1257858

Yasuda, H. ^[1]; Chong, C. ^[2]; Charalampidis, E. G. ^[3]; Kevrekidis, P. G. ^[4]; Yang, J. ^[1]

Univ. of Washington, Seattle, WA (United States)
Swiss Federal Institute of Technology (ETH), Zurich (Switzerland); Bowdoin College, Brunswick, ME (United States)
Univ. of Massachusetts, Amherst, MA (United States)
Univ. of Massachusetts, Amherst, MA (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

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.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: 1553202; DMS-1312856; N000141410388; UD140059JD; W911NF-15-1-0604; FA9550-12-10332; 605096; 2010239; ESC-A 06-14; AC52-06NA25396

OSTI ID:: 1257858

Alternate ID(s):: OSTI ID: 1247832

Report Number(s):: LA-UR-15-22277; PLEEE8

Journal Information:: Physical Review E, Vol. 93, Issue 4; ISSN 2470-0045

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 56 works

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Metamaterials with amplitude gaps for elastic solitons Deng, Bolei; Wang, Pai; He, Qi Nature Communications, Vol. 9, Issue 1 https://doi.org/10.1038/s41467-018-05908-9	journal	August 2018
Kirigami-based Elastic Metamaterials with Anisotropic Mass Density for Subwavelength Flexural Wave Control Zhu, R.; Yasuda, H.; Huang, G. L. Scientific Reports, Vol. 8, Issue 1 https://doi.org/10.1038/s41598-017-18864-z	journal	January 2018
Fluidic origami cellular structure with asymmetric quasi-zero stiffness for low-frequency vibration isolation Sadeghi, Sahand; Li, Suyi Smart Materials and Structures, Vol. 28, Issue 6 https://doi.org/10.1088/1361-665x/ab143c	journal	May 2019
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Lattice reconfiguration and phononic band-gap adaptation via origami folding Thota, M.; Li, S.; Wang, K. W. Physical Review B, Vol. 95, Issue 6 https://doi.org/10.1103/physrevb.95.064307	journal	February 2017
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Harnessing the anisotropic multistability of stacked-origami mechanical metamaterials for effective modulus programming Sengupta, Sattam; Li, Suyi Journal of Intelligent Material Systems and Structures, Vol. 29, Issue 14 https://doi.org/10.1177/1045389x18781040	journal	June 2018
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Origami-based impact mitigation via rarefaction solitary wave creation Yasuda, Hiromi; Miyazawa, Yasuhiro; Charalampidis, Efstathios G. arXiv https://doi.org/10.48550/arxiv.1805.05909	preprint	January 2018

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