Role of local response in manipulating the elastic properties of disordered solids by bond removal
Abstract
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.
- Authors:
-
[1];
[2];
[1]
- Univ. of Chicago, IL (United States)
- Univ. of Pennsylvania, Philadelphia, PA (United States)
- Publication Date:
- Research Org.:
- Univ. of Chicago, IL (United States); Univ. of Pennsylvania, Philadelphia, PA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; Simons Foundation; National Science Foundation (NSF)
- OSTI Identifier:
- 1596339
- Grant/Contract Number:
- FG02-03ER46088; FG02-05ER46199; DMR-1420709
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Soft Matter
- Additional Journal Information:
- Journal Volume: 14; Journal Issue: 2; Journal ID: ISSN 1744-683X
- Publisher:
- Royal Society of Chemistry
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 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
Citation Formats
Hexner, Daniel, Liu, Andrea J., and Nagel, Sidney R. Role of local response in manipulating the elastic properties of disordered solids by bond removal. United States: N. p., 2017.
Web. doi:10.1039/c7sm01727h.
Hexner, Daniel, Liu, Andrea J., & Nagel, Sidney R. Role of local response in manipulating the elastic properties of disordered solids by bond removal. United States. https://doi.org/10.1039/c7sm01727h
Hexner, Daniel, Liu, Andrea J., and Nagel, Sidney R. Mon .
"Role of local response in manipulating the elastic properties of disordered solids by bond removal". United States. https://doi.org/10.1039/c7sm01727h. https://www.osti.gov/servlets/purl/1596339.
@article{osti_1596339,
title = {Role of local response in manipulating the elastic properties of disordered solids by bond removal},
author = {Hexner, Daniel and Liu, Andrea J. and Nagel, Sidney R.},
abstractNote = {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.},
doi = {10.1039/c7sm01727h},
journal = {Soft Matter},
number = 2,
volume = 14,
place = {United States},
year = {Mon Dec 18 00:00:00 EST 2017},
month = {Mon Dec 18 00:00:00 EST 2017}
}
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Works referencing / citing this record:
A broader view on jamming: from spring networks to circle packings
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Three-Dimensionally Printed Mechanical Metamaterials With Thermally Tunable Auxetic Behavior
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Designed Elastic Networks: Models of Complex Protein Machinery
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Training nonlinear elastic functions: nonmonotonic, sequence dependent and bifurcating
preprint, January 2020
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