Multifunctional twisted kagome lattices: Tuning by pruning mechanical metamaterials

Physical Review. E
Danilo B LiarteT C Lubensky

Abstract

This article investigates phonons and elastic response in randomly diluted lattices constructed by combining (via the addition of next-nearest bonds) a twisted kagome lattice, with bulk modulus B=0 and shear modulus G>0, with either a generalized untwisted kagome lattice with B>0 and G>0 or with a honeycomb lattice with B>0 and G=0. These lattices exhibit jamming-like critical endpoints at which B, G, or both B and G jump discontinuously from zero while the remaining moduli (if any) begin to grow continuously from zero. Pairs of these jamming points are joined by lines of continuous rigidity percolation transitions at which both B and G begin to grow continuously from zero. The Poisson ratio and G/B can be continuously tuned throughout their physical range via random dilution in a manner analogous to "tuning by pruning" in random jammed lattices. These lattices can be produced with modern techniques, such as three-dimensional printing, for constructing metamaterials.

References

Jan 1, 1985·Physical Review. B, Condensed Matter·S FengE Garboczi
Oct 1, 1985·Physical Review. B, Condensed Matter·L M SchwartzP N Sen
Nov 27, 1995·Physical Review Letters·D J Jacobs, M F Thorpe
Aug 26, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Corey S O'HernSidney R Nagel
Apr 7, 2010·Physical Review Letters·Anton SouslovT C Lubensky
Mar 17, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Xiaoming Mao, T C Lubensky
Dec 16, 2011·Nature·Dapeng BiR P Behringer
Jun 27, 2012·Proceedings of the National Academy of Sciences of the United States of America·Kai SunT C Lubensky
May 18, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Xiaoming MaoT C Lubensky
Jun 27, 2015·Reports on Progress in Physics·T C LubenskyKai Sun
Mar 30, 2016·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Danilo B LiarteT C Lubensky
Feb 1, 2018·Proceedings of the National Academy of Sciences of the United States of America·Daniel R ReidJuan J de Pablo
Jul 18, 2018·Physical Review. E·Daniel HexnerSidney R Nagel
Aug 23, 2018·Reports on Progress in Physics·Robert P Behringer, Bulbul Chakraborty
Apr 13, 2019·Physical Review Letters·Danilo B LiarteT C Lubensky
Jul 20, 2019·Physical Review Letters·Olaf Stenull, T C Lubensky
Sep 6, 2019·The European Physical Journal. E, Soft Matter·Robbie Rens, Edan Lerner
Jan 22, 2020·Nature·Michel FruchartVincenzo Vitelli

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Citations

Jan 8, 2021·Proceedings. Mathematical, Physical, and Engineering Sciences·Gary P T ChoiLakshminarayanan Mahadevan
May 19, 2021·Proceedings of the National Academy of Sciences of the United States of America·Aleksi BossartCorentin Coulais

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