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Title: Auxetic metamaterials from disordered networks

Journal Article · · Proceedings of the National Academy of Sciences of the United States of America
 [1];  [1];  [2];  [1];  [3];  [1];  [4]
  1. Univ. of Chicago, IL (United States)
  2. Argonne National Lab. (ANL), Lemont, IL (United States)
  3. Univ. of Pennsylvania, Philadelphia, PA (United States)
  4. Univ. of Chicago, IL (United States); Argonne National Lab. (ANL), Lemont, IL (United States)

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.

Research Organization:
Argonne National Laboratory (ANL), Argonne, IL (United States)
Sponsoring Organization:
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)
Grant/Contract Number:
AC02-06CH11357
OSTI ID:
1498500
Journal Information:
Proceedings of the National Academy of Sciences of the United States of America, Vol. 115, Issue 7; ISSN 0027-8424
Publisher:
National Academy of Sciences, Washington, DC (United States)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 62 works
Citation information provided by
Web of Science

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Cited By (27)

Ideal isotropic auxetic networks from random networks journal January 2019
Network analysis of particles and grains journal April 2018
Normal stress anisotropy and marginal stability in athermal elastic networks text January 2017
Directed aging, memory, and nature’s greed journal December 2019
Rigidity percolation control of the brittle-ductile transition in disordered networks text January 2018
Metamaterials with engineered failure load and stiffness journal November 2019
Three-Dimensionally Printed Mechanical Metamaterials With Thermally Tunable Auxetic Behavior journal April 2019
Limits of multifunctionality in tunable networks journal January 2019
Equally probable positive and negative Poisson's ratios in disordered planar systems. text January 2018
Density scaling in the mechanics of a disordered mechanical meta-material journal March 2019
Inverse Design of Discrete Mechanical Metamaterials text January 2018
Rigidity and auxeticity transitions in networks with strong bond-bending interactions journal September 2019
New frontiers for the materials genome initiative journal April 2019
Equally probable positive and negative Poisson's ratios in disordered planar systems journal January 2018
Normal stress anisotropy and marginal stability in athermal elastic networks journal January 2019
Random auxetics from buckling fibre networks text January 2019
Excess floppy modes and multibranched mechanisms in metamaterials with symmetries journal August 2019
Rigidity percolation control of the brittle-ductile transition in disordered networks journal July 2019
Inverse design of discrete mechanical metamaterials journal September 2019
Ideal isotropic auxetic networks from random networks preprint January 2019
Random auxetics from buckling fibre networks journal October 2019
Forecasting failure locations in 2-dimensional disordered lattices journal August 2019
Nonlinear Poisson Effect Governed by a Mechanical Critical Transition journal January 2020
Auxeticity and stiffness of random networks: Lessons for the rational design of 3D printed mechanical metamaterials journal July 2019
Effects of Cracks on Anomalous Mechanical Behavior and Energy Dissipation of Negative-Stiffness Plates journal November 2018
Geometric construction of auxetic metamaterials journal May 2021
Unfolding of Crumpled Thin Sheets preprint January 2021

Figures / Tables (19)


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