Role of local response in manipulating the elastic properties of disordered solids by bond removal

Hexner, Daniel; Liu, Andrea J.; Nagel, Sidney R.

doi:10.1039/c7sm01727h

Title: Role of local response in manipulating the elastic properties of disordered solids by bond removal

Journal Article · Mon Dec 18 00:00:00 EST 2017 · Soft Matter

DOI:https://doi.org/10.1039/c7sm01727h· OSTI ID:1596339

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Univ. of Chicago, IL (United States)
Univ. of Pennsylvania, Philadelphia, PA (United States)

Here, we investigate the range over which the elasticity of disordered spring networks can be manipulated by the removal of selected bonds. By taking into account the local response of a bond, we demonstrate that the effectiveness of pruning can be improved so that auxetic (i.e., negative Poisson's ratio) materials can be designed without the formation of cracks even while maintaining the global isotropy of the network. The bulk modulus and shear modulus scale with the number of bonds removed and we estimate the exponents characterizing these power laws. Furthermore, we find that there are spatial correlation lengths in the change of bulk modulus and shear modulus upon removing different bonds that diverge as the network approaches the isostatic limit where the excess coordination number ΔZ → 0.

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Research Organization:: Univ. of Chicago, IL (United States); Univ. of Pennsylvania, Philadelphia, PA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; Simons Foundation; National Science Foundation (NSF)

Grant/Contract Number:: FG02-03ER46088; FG02-05ER46199; DMR-1420709

OSTI ID:: 1596339

Journal Information:: Soft Matter, Vol. 14, Issue 2; ISSN 1744-683X

Publisher:: Royal Society of ChemistryCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 27 works

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References (17)

Foam Mechanics at the Bubble Scale Durian, D. J. Physical Review Letters, Vol. 75, Issue 26 https://doi.org/10.1103/PhysRevLett.75.4780	journal	December 1995
Jamming at zero temperature and zero applied stress: The epitome of disorder O’Hern, Corey S.; Silbert, Leonardo E.; Liu, Andrea J. Physical Review E, Vol. 68, Issue 1 https://doi.org/10.1103/PhysRevE.68.011306	journal	July 2003
Poisson's ratio and modern materials Greaves, G. N.; Greer, A. L.; Lakes, R. S. Nature Materials, Vol. 10, Issue 11 https://doi.org/10.1038/nmat3134	journal	October 2011
Vibrations and Diverging Length Scales Near the Unjamming Transition Silbert, Leonardo E.; Liu, Andrea J.; Nagel, Sidney R. Physical Review Letters, Vol. 95, Issue 9 https://doi.org/10.1103/PhysRevLett.95.098301	journal	August 2005
Architecture and coevolution of allosteric materials Yan, Le; Ravasio, Riccardo; Brito, Carolina Proceedings of the National Academy of Sciences, Vol. 114, Issue 10 https://doi.org/10.1073/pnas.1615536114	journal	February 2017
Jamming in finite systems: Stability, anisotropy, fluctuations, and scaling Goodrich, Carl P.; Dagois-Bohy, Simon; Tighe, Brian P. Physical Review E, Vol. 90, Issue 2 https://doi.org/10.1103/PhysRevE.90.022138	journal	August 2014
On the rigidity of amorphous solids Wyart, M. Annales de Physique, Vol. 30, Issue 3 https://doi.org/10.1051/anphys:2006003	journal	January 2005
Designer Matter: A perspective Reis, Pedro M.; Jaeger, Heinrich M.; van Hecke, Martin Extreme Mechanics Letters, Vol. 5 https://doi.org/10.1016/j.eml.2015.09.004	journal	December 2015
The Jamming Transition and the Marginally Jammed Solid Liu, Andrea J.; Nagel, Sidney R. Annual Review of Condensed Matter Physics, Vol. 1, Issue 1 https://doi.org/10.1146/annurev-conmatphys-070909-104045	journal	August 2010
Breakdown of continuum elasticity in amorphous solids Lerner, Edan; DeGiuli, Eric; Düring, Gustavo Soft Matter, Vol. 10, Issue 28 https://doi.org/10.1039/c4sm00311j	journal	January 2014
The role of rigidity in controlling material failure Driscoll, Michelle M.; Chen, Bryan Gin-ge; Beuman, Thomas H. Proceedings of the National Academy of Sciences, Vol. 113, Issue 39 https://doi.org/10.1073/pnas.1501169113	journal	September 2016
Experimental soft-matter science Nagel, Sidney R. Reviews of Modern Physics, Vol. 89, Issue 2 https://doi.org/10.1103/RevModPhys.89.025002	journal	April 2017
Designing allostery-inspired response in mechanical networks Rocks, Jason W.; Pashine, Nidhi; Bischofberger, Irmgard Proceedings of the National Academy of Sciences, Vol. 114, Issue 10 https://doi.org/10.1073/pnas.1612139114	journal	February 2017
Finite-Size Scaling at the Jamming Transition Goodrich, Carl P.; Liu, Andrea J.; Nagel, Sidney R. Physical Review Letters, Vol. 109, Issue 9 https://doi.org/10.1103/PhysRevLett.109.095704	journal	August 2012
Design of Elastic Networks with Evolutionary Optimized Long-Range Communication as Mechanical Models of Allosteric Proteins Flechsig, Holger Biophysical Journal, Vol. 113, Issue 3 https://doi.org/10.1016/j.bpj.2017.06.043	journal	August 2017
Spatial structure of states of self stress in jammed systems Sussman, Daniel M.; Goodrich, Carl P.; Liu, Andrea J. Soft Matter, Vol. 12, Issue 17 https://doi.org/10.1039/C6SM00094K	journal	January 2016
Phonons and elasticity in critically coordinated lattices Lubensky, T. C.; Kane, C. L.; Mao, Xiaoming Reports on Progress in Physics, Vol. 78, Issue 7 https://doi.org/10.1088/0034-4885/78/7/073901	journal	June 2015

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Ideal isotropic auxetic networks from random networks Reid, Daniel R.; Pashine, Nidhi; Bowen, Alec S. Soft Matter, Vol. 15, Issue 40 https://doi.org/10.1039/c9sm01241a	journal	January 2019
Limits of multifunctionality in tunable networks Rocks, Jason W.; Ronellenfitsch, Henrik; Liu, Andrea J. Proceedings of the National Academy of Sciences, Vol. 116, Issue 7 https://doi.org/10.1073/pnas.1806790116	journal	January 2019
Three-Dimensionally Printed Mechanical Metamaterials With Thermally Tunable Auxetic Behavior Zhao, Zeang; Yuan, Chao; Lei, Ming Physical Review Applied, Vol. 11, Issue 4 https://doi.org/10.1103/physrevapplied.11.044074	journal	April 2019
Memory formation in matter Keim, Nathan C.; Paulsen, Joseph D.; Zeravcic, Zorana Reviews of Modern Physics, Vol. 91, Issue 3 https://doi.org/10.1103/revmodphys.91.035002	journal	July 2019
Directed aging, memory, and nature’s greed Pashine, Nidhi; Hexner, Daniel; Liu, Andrea J. Science Advances, Vol. 5, Issue 12 https://doi.org/10.1126/sciadv.aax4215	journal	December 2019
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Memory formation in matter Keim, Nathan C.; Paulsen, Joseph D.; Zeravcic, Zorana arXiv https://doi.org/10.48550/arxiv.1810.08587	text	January 2018
Ideal isotropic auxetic networks from random networks Reid, Daniel R.; Pashine, Nidhi; Bowen, Alec S. arXiv https://doi.org/10.48550/arxiv.1904.04359	preprint	January 2019
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36 MATERIALS SCIENCE
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
pruning
disorder
solids
elastic response
shear modulus
bulk modulus
negative Poisson's ratio
auxetic
mechanical networks
mechanical metamaterials
functional materials

Title: Role of local response in manipulating the elastic properties of disordered solids by bond removal

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