Tunable Mechanical Metamaterial with Constrained Negative Stiffness for Improved Quasi-Static and Dynamic Energy Dissipation
Abstract
This paper presents the computational design, fabrication, and experimental validation of a mechanical metamaterial in which the damping of the material is significantly increased without decreasing the stiffness by embedding a small volume fraction of negative stiffness (NS) inclusions within it. Unlike other systems that dissipate energy primarily through large‐amplitude deformation of nonlinear structures, this metamaterial dissipates energy by amplifying linear strains in the viscoelastic host material. By macroscopically tuning the pre‐strain of the metamaterial via mechanical loading, the embedded NS inclusions operate about a constrained buckling instability. When further macroscopic vibrational excitation is applied, the inclusions amplify the strains of the surrounding viscoelastic medium. This results in enhanced dissipation of mechanical energy when compared to voided or neat comparison media. Microstereolithography, an emerging high‐resolution additive manufacturing (AM) technology, is employed to fabricate the deeply subwavelength inclusions which ensures broadband damping behavior. The mechanically induced broadband energy dissipation and manufacturing approach further differentiate the metamaterial from other approaches that exploit resonances, large deformations, or non‐mechanical instabilities. The computational design, fabrication, and experimental evaluation reported is the first dynamic demonstration of such a mechanically tunable NS metamaterial, potentially enabling components with integrated structural and damping capabilities.
- Authors:
-
- Palo Alto Research Center Incorporated, Palo Alto, CA (United States)
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Univ. of Texas, Austin, TX (United States)
- Publication Date:
- Research Org.:
- Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF); US Department of the Navy, Office of Naval Research (ONR)
- OSTI Identifier:
- 1828127
- Alternate Identifier(s):
- OSTI ID: 1505872
- Report Number(s):
- LLNL-JRNL-824979
Journal ID: ISSN 1438-1656; 1022011
- Grant/Contract Number:
- AC52-07NA27344; CMMI-1435548; N00014-13-1-0631; IM# 944586
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Advanced Engineering Materials
- Additional Journal Information:
- Journal Volume: 21; Journal Issue: 7; Journal ID: ISSN 1438-1656
- Publisher:
- Wiley
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 42 ENGINEERING; mechanical metamaterial; materials design; negative stiffness; microsterolithography
Citation Formats
Morris, Clinton, Bekker, Logan, Spadaccini, Christopher, Haberman, Michael, and Seepersad, Carolyn. Tunable Mechanical Metamaterial with Constrained Negative Stiffness for Improved Quasi-Static and Dynamic Energy Dissipation. United States: N. p., 2019.
Web. doi:10.1002/adem.201900163.
Morris, Clinton, Bekker, Logan, Spadaccini, Christopher, Haberman, Michael, & Seepersad, Carolyn. Tunable Mechanical Metamaterial with Constrained Negative Stiffness for Improved Quasi-Static and Dynamic Energy Dissipation. United States. https://doi.org/10.1002/adem.201900163
Morris, Clinton, Bekker, Logan, Spadaccini, Christopher, Haberman, Michael, and Seepersad, Carolyn. Tue .
"Tunable Mechanical Metamaterial with Constrained Negative Stiffness for Improved Quasi-Static and Dynamic Energy Dissipation". United States. https://doi.org/10.1002/adem.201900163. https://www.osti.gov/servlets/purl/1828127.
@article{osti_1828127,
title = {Tunable Mechanical Metamaterial with Constrained Negative Stiffness for Improved Quasi-Static and Dynamic Energy Dissipation},
author = {Morris, Clinton and Bekker, Logan and Spadaccini, Christopher and Haberman, Michael and Seepersad, Carolyn},
abstractNote = {This paper presents the computational design, fabrication, and experimental validation of a mechanical metamaterial in which the damping of the material is significantly increased without decreasing the stiffness by embedding a small volume fraction of negative stiffness (NS) inclusions within it. Unlike other systems that dissipate energy primarily through large‐amplitude deformation of nonlinear structures, this metamaterial dissipates energy by amplifying linear strains in the viscoelastic host material. By macroscopically tuning the pre‐strain of the metamaterial via mechanical loading, the embedded NS inclusions operate about a constrained buckling instability. When further macroscopic vibrational excitation is applied, the inclusions amplify the strains of the surrounding viscoelastic medium. This results in enhanced dissipation of mechanical energy when compared to voided or neat comparison media. Microstereolithography, an emerging high‐resolution additive manufacturing (AM) technology, is employed to fabricate the deeply subwavelength inclusions which ensures broadband damping behavior. The mechanically induced broadband energy dissipation and manufacturing approach further differentiate the metamaterial from other approaches that exploit resonances, large deformations, or non‐mechanical instabilities. The computational design, fabrication, and experimental evaluation reported is the first dynamic demonstration of such a mechanically tunable NS metamaterial, potentially enabling components with integrated structural and damping capabilities.},
doi = {10.1002/adem.201900163},
journal = {Advanced Engineering Materials},
number = 7,
volume = 21,
place = {United States},
year = {Tue Apr 09 00:00:00 EDT 2019},
month = {Tue Apr 09 00:00:00 EDT 2019}
}
Web of Science
Works referenced in this record:
Controlling sound with acoustic metamaterials
journal, February 2016
- Cummer, Steven A.; Christensen, Johan; Alù, Andrea
- Nature Reviews Materials, Vol. 1, Issue 3
A Curved-Beam Bistable Mechanism
journal, April 2004
- Qiu, J.; Lang, J. H.; Slocum, A. H.
- Journal of Microelectromechanical Systems, Vol. 13, Issue 2
Micromechanics modeling of composite with ductile matrix and shape memory alloy reinforcement
journal, March 2000
- Cherkaoui, M.; Sun, Q. P.; Song, G. Q.
- International Journal of Solids and Structures, Vol. 37, Issue 11
Discussion: Young's Modulus Interpreted from Compression Tests with End Friction
journal, October 1998
- Watanabe, Shouhei
- Journal of Engineering Mechanics, Vol. 124, Issue 10
Design, Manufacture, and Quasi-Static Testing of Metallic Negative Stiffness Structures within a Polymer Matrix
journal, May 2017
- Cortes, S. .; Allison, J.; Morris, C.
- Experimental Mechanics, Vol. 57, Issue 8
Inducing Passive Nonlinear Energy Sinks in Vibrating Systems
journal, January 2001
- Vakakis, A. F.
- Journal of Vibration and Acoustics, Vol. 123, Issue 3
Magnetoactive Acoustic Metamaterials
journal, April 2018
- Yu, Kunhao; Fang, Nicholas X.; Huang, Guoliang
- Advanced Materials, Vol. 30, Issue 21
Extreme damping in composite materials with negative-stiffness inclusions
journal, March 2001
- Lakes, R. S.; Lee, T.; Bersie, A.
- Nature, Vol. 410, Issue 6828
Barreling of Solid Cylinders Under Axial Compression
journal, April 1985
- Banerjee, J. K.
- Journal of Engineering Materials and Technology, Vol. 107, Issue 2
Extreme Damping in Composite Materials with a Negative Stiffness Phase
journal, March 2001
- Lakes, R. S.
- Physical Review Letters, Vol. 86, Issue 13
Bayesian Network Classifiers for Set-Based Collaborative Design
journal, June 2012
- Shahan, David W.; Seepersad, Carolyn Conner
- Journal of Mechanical Design, Vol. 134, Issue 7
Impact behavior of negative stiffness honeycomb materials
journal, February 2018
- Debeau, David A.; Seepersad, Carolyn C.; Haberman, Michael R.
- Journal of Materials Research, Vol. 33, Issue 3
The development of a new hollow cylinder apparatus for investigating the effects of principal stress rotation in soils
journal, December 1983
- Hight, D. W.; Gens, A.; Symes, M. J.
- Géotechnique, Vol. 33, Issue 4
Ultrasonic characterization of the complex Young’s modulus of polymer parts fabricated with microstereolithography
journal, October 2018
- Morris, Clinton B.; Cormack, John M.; Hamilton, Mark F.
- Rapid Prototyping Journal, Vol. 24, Issue 7
Design Exploration of Reliably Manufacturable Materials and Structures With Applications to Negative Stiffness Metamaterials and Microstereolithography1
journal, September 2018
- Morris, Clinton; Bekker, Logan; Haberman, Michael R.
- Journal of Mechanical Design, Vol. 140, Issue 11
Design, fabrication, and analysis of lattice exhibiting energy absorption via snap-through behavior
journal, March 2018
- Ha, Chan Soo; Lakes, Roderic S.; Plesha, Michael E.
- Materials & Design, Vol. 141
Targeted Energy Transfer Between a Model Flexible Wing and Nonlinear Energy Sink
journal, November 2010
- Hubbard, Sean A.; McFarland, D. Michael; Bergman, Lawrence A.
- Journal of Aircraft, Vol. 47, Issue 6
A nonlinear negative stiffness metamaterial unit cell and small-on-large multiscale material model
journal, July 2013
- Klatt, Timothy; Haberman, Michael R.
- Journal of Applied Physics, Vol. 114, Issue 3
Model free energy, mechanics, and thermodynamics of shape memory alloys
journal, December 1980
- Falk, F.
- Acta Metallurgica, Vol. 28, Issue 12
Ultrasonic metamaterials with negative modulus
journal, April 2006
- Fang, Nicholas; Xi, Dongjuan; Xu, Jianyi
- Nature Materials, Vol. 5, Issue 6
Negative stiffness honeycombs for recoverable shock isolation
journal, March 2015
- Correa, Dixon M.; Klatt, Timothy; Cortes, Sergio
- Rapid Prototyping Journal, Vol. 21, Issue 2
Constitutive modeling of piezoelectric polymer composites
journal, October 2004
- Odegard, G. M.
- Acta Materialia, Vol. 52, Issue 18
Acoustic metamaterials
journal, June 2016
- Haberman, Michael R.; Guild, Matthew D.
- Physics Today, Vol. 69, Issue 6
Viscoelastic Behavior of Heterogeneous Media
journal, September 1965
- Hashin, Zvi
- Journal of Applied Mechanics, Vol. 32, Issue 3
Frequency-dependent behavior of media containing pre-strained nonlinear inclusions: Application to nonlinear acoustic metamaterials
journal, November 2018
- Konarski, Stephanie G.; Haberman, Michael R.; Hamilton, Mark F.
- The Journal of the Acoustical Society of America, Vol. 144, Issue 5
Hierarchical Design of Negative Stiffness Metamaterials Using a Bayesian Network Classifier1
journal, March 2016
- Matthews, Jordan; Klatt, Timothy; Morris, Clinton
- Journal of Mechanical Design, Vol. 138, Issue 4
Micromechanical Modeling of Particulate Composites for Damping of Acoustic Waves
journal, November 2005
- Haberman, Michael R.; Berthelot, Yves H.; Cherkaoui, Mohammed
- Journal of Engineering Materials and Technology, Vol. 128, Issue 3
Deformation of extreme viscoelastic metals and composites
journal, April 2004
- Wang, Y. C.; Ludwigson, M.; Lakes, R. S.
- Materials Science and Engineering: A, Vol. 370, Issue 1-2
Trapping and attenuating broadband vibroacoustic energy with hyperdamping metamaterials
journal, April 2017
- Harne, Ryan L.; Song, Yu; Dai, Quanqi
- Extreme Mechanics Letters, Vol. 12
Bayesian Network Classifiers for Set-Based Collaborative Design
conference, March 2011
- Shahan, David; Seepersad, Carolyn C.
- ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Volume 1: 36th Design Automation Conference, Parts A and B
Resilience to Impact by Extreme Energy Absorption in Lightweight Material Inclusions Constrained Near a Critical Point : Resilience to Impact by Extreme Energy Absorption…
journal, August 2016
- Bishop, Justin; Dai, Quanqi; Song, Yu
- Advanced Engineering Materials, Vol. 18, Issue 11
Extreme Damping in Composite Materials with a Negative Stiffness Phase
text, January 2001
- Lakes, R. S.
- The American Physical Society