Auxetic metamaterials from disordered networks
Abstract
Recent theoretical work suggests that systematic pruning of disordered networks consisting of nodes connected by springs can lead to materials that exhibit a host of unusual mechanical properties. In particular, global properties such as Poisson's ratio or local responses related to deformation can be precisely altered. Tunable mechanical responses would be useful in areas ranging from impact mitigation to robotics and, more generally, for creation of metamaterials with engineered properties. However, experimental attempts to create auxetic materials based on pruningbased theoretical ideas have not been successful. In this study, we introduce a more realistic model of the networks, which incorporates angle-bending forces and the appropriate experimental boundary conditions. A sequential pruning strategy of select bonds in this model is then devised and implemented that enables engineering of specific mechanical behaviors upon deformation, both in the linear and in the nonlinear regimes. In particular, it is shown that Poisson's ratio can be tuned to arbitrary values. The model and concepts discussed here are validated by preparing physical realizations of the networks designed in this manner, which are produced by laser cutting 2D sheets and are found to behave as predicted. Furthermore, by relying on optimization algorithms, we exploit the networks' susceptibilitymore »
- Authors:
-
- Univ. of Chicago, IL (United States)
- Argonne National Lab. (ANL), Lemont, IL (United States)
- Univ. of Pennsylvania, Philadelphia, PA (United States)
- Univ. of Chicago, IL (United States); Argonne National Lab. (ANL), Lemont, IL (United States)
- Publication Date:
- Research Org.:
- Argonne National Laboratory (ANL), Argonne, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; University of Chicago - Materials Research Science & Engineering Center (MRSEC); National Institute of Standards and Technology (NIST) - Center for Hierarchical Materials Design (CHiMaD)
- OSTI Identifier:
- 1498500
- Grant/Contract Number:
- AC02-06CH11357
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Proceedings of the National Academy of Sciences of the United States of America
- Additional Journal Information:
- Journal Volume: 115; Journal Issue: 7; Journal ID: ISSN 0027-8424
- Publisher:
- National Academy of Sciences, Washington, DC (United States)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; auxetic; impact mitigation; metamaterials; optimization; structure
Citation Formats
Reid, Daniel R., Pashine, Nidhi, Wozniak, Justin M., Jaeger, Heinrich M., Liu, Andrea J., Nagel, Sidney R., and de Pablo, Juan J.. Auxetic metamaterials from disordered networks. United States: N. p., 2018.
Web. doi:10.1073/pnas.1717442115.
Reid, Daniel R., Pashine, Nidhi, Wozniak, Justin M., Jaeger, Heinrich M., Liu, Andrea J., Nagel, Sidney R., & de Pablo, Juan J.. Auxetic metamaterials from disordered networks. United States. https://doi.org/10.1073/pnas.1717442115
Reid, Daniel R., Pashine, Nidhi, Wozniak, Justin M., Jaeger, Heinrich M., Liu, Andrea J., Nagel, Sidney R., and de Pablo, Juan J.. Tue .
"Auxetic metamaterials from disordered networks". United States. https://doi.org/10.1073/pnas.1717442115. https://www.osti.gov/servlets/purl/1498500.
@article{osti_1498500,
title = {Auxetic metamaterials from disordered networks},
author = {Reid, Daniel R. and Pashine, Nidhi and Wozniak, Justin M. and Jaeger, Heinrich M. and Liu, Andrea J. and Nagel, Sidney R. and de Pablo, Juan J.},
abstractNote = {Recent theoretical work suggests that systematic pruning of disordered networks consisting of nodes connected by springs can lead to materials that exhibit a host of unusual mechanical properties. In particular, global properties such as Poisson's ratio or local responses related to deformation can be precisely altered. Tunable mechanical responses would be useful in areas ranging from impact mitigation to robotics and, more generally, for creation of metamaterials with engineered properties. However, experimental attempts to create auxetic materials based on pruningbased theoretical ideas have not been successful. In this study, we introduce a more realistic model of the networks, which incorporates angle-bending forces and the appropriate experimental boundary conditions. A sequential pruning strategy of select bonds in this model is then devised and implemented that enables engineering of specific mechanical behaviors upon deformation, both in the linear and in the nonlinear regimes. In particular, it is shown that Poisson's ratio can be tuned to arbitrary values. The model and concepts discussed here are validated by preparing physical realizations of the networks designed in this manner, which are produced by laser cutting 2D sheets and are found to behave as predicted. Furthermore, by relying on optimization algorithms, we exploit the networks' susceptibility to tuning to design networks that possess a distribution of stiffer and more compliant bonds and whose auxetic behavior is even greater than that of homogeneous networks. Finally, taken together, the findings reported here serve to establish that pruned networks represent a promising platform for the creation of unique mechanical metamaterials.},
doi = {10.1073/pnas.1717442115},
journal = {Proceedings of the National Academy of Sciences of the United States of America},
number = 7,
volume = 115,
place = {United States},
year = {2018},
month = {1}
}
Web of Science
Figures / Tables:

Works referenced in this record:
The effect of the processing parameters on the fabrication of auxetic polyethylene: Part I The effect of compaction conditions
journal, August 1995
- Pickles, A. P.; Webber, R. S.; Alderson, K. L.
- Journal of Materials Science, Vol. 30, Issue 16
Auxetic Materials for Sports Applications
journal, January 2014
- Sanami, Mohammad; Ravirala, Naveen; Alderson, Kim
- Procedia Engineering, Vol. 72
Design and fabrication of compliant micromechanisms and structures with negative Poisson's ratio
journal, June 1997
- Larsen, U. D.; Signund, O.; Bouwsta, S.
- Journal of Microelectromechanical Systems, Vol. 6, Issue 2
Negative Poisson's ratios in composites with star-shaped inclusions: a numerical homogenization approach
journal, April 1997
- Theocaris, P. S.; Stavroulakis, G. E.; Panagiotopoulos, P. D.
- Archive of Applied Mechanics (Ingenieur Archiv), Vol. 67, Issue 4
An Auxetic Filter: A Tuneable Filter Displaying Enhanced Size Selectivity or Defouling Properties
journal, March 2000
- Alderson, Andrew; Rasburn, John; Ameer-Beg, Simon
- Industrial & Engineering Chemistry Research, Vol. 39, Issue 3
Experimental soft-matter science
journal, April 2017
- Nagel, Sidney R.
- Reviews of Modern Physics, Vol. 89, Issue 2
Short-range correlations control the G / K and Poisson ratios of amorphous solids and metallic glasses
journal, January 2014
- Zaccone, Alessio; Terentjev, Eugene M.
- Journal of Applied Physics, Vol. 115, Issue 3
Negative Poisson’s Ratio Polyester Fibers
journal, July 2006
- Ravirala, Naveen; Alderson, Kim L.; Davies, Philip J.
- Textile Research Journal, Vol. 76, Issue 7
Negative Poisson’s ratio in a transversely isotropic foam structure
journal, June 1990
- Warren, Thomas L.
- Journal of Applied Physics, Vol. 67, Issue 12
Spatial structure of states of self stress in jammed systems
journal, January 2016
- Sussman, Daniel M.; Goodrich, Carl P.; Liu, Andrea J.
- Soft Matter, Vol. 12, Issue 17
Swift/T: Large-Scale Application Composition via Distributed-Memory Dataflow Processing
conference, May 2013
- Wozniak, J. M.; Armstrong, T. G.; Wilde, M.
- 2013 13th IEEE/ACM International Symposium on Cluster, Cloud and Grid Computing (CCGrid), 2013 13th IEEE/ACM International Symposium on Cluster, Cloud, and Grid Computing
Development of auxetic fabrics using flat knitting technology
journal, May 2011
- Hong Hu,
- Textile Research Journal, Vol. 81, Issue 14
Theory of Elasticity (3rd ed.)
journal, September 1970
- Timoshenko, S. P.; Goodier, J. N.; Abramson, H. Norman
- Journal of Applied Mechanics, Vol. 37, Issue 3
Auxetic polyethylene: The effect of a negative poisson's ratio on hardness
journal, July 1994
- Alderson, K. L.; Pickles, A. P.; Neale, P. J.
- Acta Metallurgica et Materialia, Vol. 42, Issue 7
Auxetic warp knit textile structures
journal, April 2012
- Alderson, Kim; Alderson, Andrew; Anand, Subhash
- physica status solidi (b), Vol. 249, Issue 7
Programmable Mechanical Metamaterials
journal, October 2014
- Florijn, Bastiaan; Coulais, Corentin; van Hecke, Martin
- Physical Review Letters, Vol. 113, Issue 17
The Jamming Transition and the Marginally Jammed Solid
journal, August 2010
- Liu, Andrea J.; Nagel, Sidney R.
- Annual Review of Condensed Matter Physics, Vol. 1, Issue 1
The design of doubly curved sandwich panels with honeycomb cores
journal, January 1991
- Evans, K. E.
- Composite Structures, Vol. 17, Issue 2
Auxetic polymeric filters display enhanced de-fouling and pressure compensation properties
journal, September 2001
- Alderson, A.; Rasburn, J.; Evans, K. E.
- Membrane Technology, Vol. 2001, Issue 137
The role of rigidity in controlling material failure
journal, September 2016
- Driscoll, Michelle M.; Chen, Bryan Gin-ge; Beuman, Thomas H.
- Proceedings of the National Academy of Sciences, Vol. 113, Issue 39
The Principle of Independent Bond-Level Response: Tuning by Pruning to Exploit Disorder for Global Behavior
journal, June 2015
- Goodrich, Carl P.; Liu, Andrea J.; Nagel, Sidney R.
- Physical Review Letters, Vol. 114, Issue 22
The Mechanics of Two-Dimensional Cellular Materials
journal, July 1982
- Gibson, L. J.; Ashby, M. F.; Schajer, G. S.
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 382, Issue 1782, p. 25-42
The Design, Matching and Manufacture of Auxetic Carbon Fibre Laminates
journal, January 2004
- Evans, K. E.; Donoghue, J. P.; Alderson, K. L.
- Journal of Composite Materials, Vol. 38, Issue 2
Foam Structures with a Negative Poisson's Ratio
journal, February 1987
- Lakes, R.
- Science, Vol. 235, Issue 4792
Honeycomb cores with enhanced buckling strength
journal, February 2011
- Miller, W.; Smith, C. W.; Evans, K. E.
- Composite Structures, Vol. 93, Issue 3
Designing allostery-inspired response in mechanical networks
journal, February 2017
- Rocks, Jason W.; Pashine, Nidhi; Bischofberger, Irmgard
- Proceedings of the National Academy of Sciences, Vol. 114, Issue 10
Microporous materials with negative Poisson's ratios. I. Microstructure and mechanical properties
journal, December 1989
- Caddock, B. D.; Evans, K. E.
- Journal of Physics D: Applied Physics, Vol. 22, Issue 12
Linking microscopic and macroscopic response in disordered solids
journal, June 2018
- Hexner, Daniel; Liu, Andrea J.; Nagel, Sidney R.
- Physical Review E, Vol. 97, Issue 6
The effect of the processing parameters on the fabrication of auxetic polyethylene
journal, August 1995
- Alderson, K. L.; Kettle, A. P.; Neale, P. J.
- Journal of Materials Science, Vol. 30, Issue 16
Negative Poisson's ratios in composites with star-shaped inclusions: a numerical homogenization approach
journal, April 1997
- Theocaris, P. S.; Stavroulakis, G. E.; Panagiotopoulos, P. D.
- Archive of Applied Mechanics (Ingenieur Archiv), Vol. 67, Issue 4
Auxetic polyethylene: The effect of a negative poisson's ratio on hardness
journal, July 1994
- Alderson, K. L.; Pickles, A. P.; Neale, P. J.
- Acta Metallurgica et Materialia, Vol. 42, Issue 7
Auxetic Materials for Sports Applications
journal, January 2014
- Sanami, Mohammad; Ravirala, Naveen; Alderson, Kim
- Procedia Engineering, Vol. 72
Role of local response in manipulating the elastic properties of disordered solids by bond removal
journal, January 2018
- Hexner, Daniel; Liu, Andrea J.; Nagel, Sidney R.
- Soft Matter, Vol. 14, Issue 2
Short-range correlations control the G / K and Poisson ratios of amorphous solids and metallic glasses
journal, January 2014
- Zaccone, Alessio; Terentjev, Eugene M.
- Journal of Applied Physics, Vol. 115, Issue 3
Design and fabrication of compliant micromechanisms and structures with negative Poisson's ratio
journal, June 1997
- Larsen, U. D.; Signund, O.; Bouwsta, S.
- Journal of Microelectromechanical Systems, Vol. 6, Issue 2
Linking microscopic and macroscopic response in disordered solids
text, January 2017
- Hexner, Daniel; Liu, Andrea J.; Nagel, Sidney R.
- arXiv
Works referencing / citing this record:
Ideal isotropic auxetic networks from random networks
journal, January 2019
- Reid, Daniel R.; Pashine, Nidhi; Bowen, Alec S.
- Soft Matter, Vol. 15, Issue 40
Network analysis of particles and grains
journal, April 2018
- Papadopoulos, Lia; Porter, Mason A.; Daniels, Karen E.
- Journal of Complex Networks, Vol. 6, Issue 4
Normal stress anisotropy and marginal stability in athermal elastic networks
text, January 2017
- Shivers, Jordan; Feng, Jingchen; Sharma, Abhinav
- arXiv
Directed aging, memory, and nature’s greed
journal, December 2019
- Pashine, Nidhi; Hexner, Daniel; Liu, Andrea J.
- Science Advances, Vol. 5, Issue 12
Rigidity percolation control of the brittle-ductile transition in disordered networks
text, January 2018
- Berthier, Estelle; Kollmer, Jonathan E.; Henkes, Silke E.
- arXiv
Metamaterials with engineered failure load and stiffness
journal, November 2019
- Injeti, Sai Sharan; Daraio, Chiara; Bhattacharya, Kaushik
- Proceedings of the National Academy of Sciences, Vol. 116, Issue 48
Three-Dimensionally Printed Mechanical Metamaterials With Thermally Tunable Auxetic Behavior
journal, April 2019
- Zhao, Zeang; Yuan, Chao; Lei, Ming
- Physical Review Applied, Vol. 11, Issue 4
Limits of multifunctionality in tunable networks
journal, January 2019
- Rocks, Jason W.; Ronellenfitsch, Henrik; Liu, Andrea J.
- Proceedings of the National Academy of Sciences, Vol. 116, Issue 7
Equally probable positive and negative Poisson's ratios in disordered planar systems.
text, January 2018
- Verstreken, Christophe M.; Chalut, Kevin; Blumenfeld, Rafi
- Apollo - University of Cambridge Repository
Density scaling in the mechanics of a disordered mechanical meta-material
journal, March 2019
- Rayneau-Kirkhope, Daniel; Bonfanti, Silvia; Zapperi, Stefano
- Applied Physics Letters, Vol. 114, Issue 11
Inverse Design of Discrete Mechanical Metamaterials
text, January 2018
- Ronellenfitsch, Henrik; Stoop, Norbert; Yu, Josephine
- arXiv
Rigidity and auxeticity transitions in networks with strong bond-bending interactions
journal, September 2019
- Rens, Robbie; Lerner, Edan
- The European Physical Journal E, Vol. 42, Issue 9
New frontiers for the materials genome initiative
journal, April 2019
- de Pablo, Juan J.; Jackson, Nicholas E.; Webb, Michael A.
- npj Computational Materials, Vol. 5, Issue 1
Equally probable positive and negative Poisson's ratios in disordered planar systems
journal, January 2018
- Verstreken, Christophe M.; Chalut, Kevin J.; Blumenfeld, Raphael
- Soft Matter, Vol. 14, Issue 31
Normal stress anisotropy and marginal stability in athermal elastic networks
journal, January 2019
- Shivers, Jordan L.; Feng, Jingchen; Sharma, Abhinav
- Soft Matter, Vol. 15, Issue 7
Random auxetics from buckling fibre networks
text, January 2019
- Domaschke, Sebastian; Morel, Alexandre; Fortunato, Giuseppino
- ETH Zurich
Excess floppy modes and multibranched mechanisms in metamaterials with symmetries
journal, August 2019
- Lubbers, Luuk A.; van Hecke, Martin
- Physical Review E, Vol. 100, Issue 2
Rigidity percolation control of the brittle-ductile transition in disordered networks
journal, July 2019
- Berthier, Estelle; Kollmer, Jonathan E.; Henkes, Silke E.
- Physical Review Materials, Vol. 3, Issue 7
Inverse design of discrete mechanical metamaterials
journal, September 2019
- Ronellenfitsch, Henrik; Stoop, Norbert; Yu, Josephine
- Physical Review Materials, Vol. 3, Issue 9
Ideal isotropic auxetic networks from random networks
preprint, January 2019
- Reid, Daniel R.; Pashine, Nidhi; Bowen, Alec S.
- arXiv
Random auxetics from buckling fibre networks
journal, October 2019
- Domaschke, S.; Morel, A.; Fortunato, G.
- Nature Communications, Vol. 10, Issue 1
Forecasting failure locations in 2-dimensional disordered lattices
journal, August 2019
- Berthier, Estelle; Porter, Mason A.; Daniels, Karen E.
- Proceedings of the National Academy of Sciences, Vol. 116, Issue 34
Nonlinear Poisson Effect Governed by a Mechanical Critical Transition
journal, January 2020
- Shivers, Jordan L.; Arzash, Sadjad; MacKintosh, F. C.
- Physical Review Letters, Vol. 124, Issue 3
Auxeticity and stiffness of random networks: Lessons for the rational design of 3D printed mechanical metamaterials
journal, July 2019
- Mirzaali, M. J.; Pahlavani, H.; Zadpoor, A. A.
- Applied Physics Letters, Vol. 115, Issue 2
Effects of Cracks on Anomalous Mechanical Behavior and Energy Dissipation of Negative-Stiffness Plates
journal, November 2018
- Wang, Yun-Che; Lai, Hsiang-Wei; Shen, Meng-Wei
- physica status solidi (b), Vol. 256, Issue 1
Geometric construction of auxetic metamaterials
journal, May 2021
- Bonneau, Gp.; Hahmann, S.; Marku, J.
- Computer Graphics Forum, Vol. 40, Issue 2
Unfolding of Crumpled Thin Sheets
preprint, January 2021
- Leal, Francisco C. B.; Gomes, Marcelo A. F.
- arXiv
Figures / Tables found in this record: