Hoberman-sphere-inspired lattice metamaterials with tunable negative thermal expansion
Abstract
Materials with engineered thermal expansion coefficients, capable of avoiding failure or irreversible destruction of structures and devices, are important for aerospace, civil, biomedical, optics, and semiconductor applications. In natural materials, thermal expansion usually cannot be adjusted easily and a negative thermal expansion coefficient is still uncommon. Here we propose a novel architected lattice bi-material system, inspired by the Hoberman sphere, showing a wide range of tunable thermal expansion coefficient from negative to positive, -1.04 x 10-3 degrees C-1 to 1.0 x 10-5 degrees C-1. Numerical simulations and analytical formulations are implemented to quantify the evolution of the thermal expansion coefficients and reveal the underlying mechanisms responsible for this unusual behavior. We show that the thermal expansion coefficient of the proposed metamaterials depends on the thermal expansion coefficient ratio and the axial stiffness ratio of the constituent materials, as well as the bending stiffness and the topological arrangement of the constitutive elements. The finding reported here provides a new routine to design architected metamaterial systems with tunable negative thermal expansion for a wide range of potential applications.
- Authors:
-
- China Three Gorges Univ., Hubei (China); State Univ. of New York (SUNY), Stony Brook, NY (United States)
- National Renewable Energy Lab. (NREL), Golden, CO (United States)
- State Univ. of New York (SUNY), Stony Brook, NY (United States)
- China Three Gorges Univ., Hubei (China)
- Publication Date:
- Research Org.:
- National Renewable Energy Lab. (NREL), Golden, CO (United States)
- Sponsoring Org.:
- National Science Foundation (NSF); Region 2 University Transportation Research Center (UTRC); US Department of the Navy, Office of Naval Research (ONR)
- OSTI Identifier:
- 1424900
- Report Number(s):
- NREL/JA-5400-71054
Journal ID: ISSN 0263-8223
- Grant/Contract Number:
- AC36-08GO28308
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Composite Structures
- Additional Journal Information:
- Journal Volume: 189; Journal Issue: C; Journal ID: ISSN 0263-8223
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; metamaterials; lattice; negative thermal expansion
Citation Formats
Li, Yangbo, Chen, Yanyu, Li, Tiantian, Cao, Siyu, and Wang, Lifeng. Hoberman-sphere-inspired lattice metamaterials with tunable negative thermal expansion. United States: N. p., 2018.
Web. doi:10.1016/j.compstruct.2018.01.108.
Li, Yangbo, Chen, Yanyu, Li, Tiantian, Cao, Siyu, & Wang, Lifeng. Hoberman-sphere-inspired lattice metamaterials with tunable negative thermal expansion. United States. https://doi.org/10.1016/j.compstruct.2018.01.108
Li, Yangbo, Chen, Yanyu, Li, Tiantian, Cao, Siyu, and Wang, Lifeng. Fri .
"Hoberman-sphere-inspired lattice metamaterials with tunable negative thermal expansion". United States. https://doi.org/10.1016/j.compstruct.2018.01.108. https://www.osti.gov/servlets/purl/1424900.
@article{osti_1424900,
title = {Hoberman-sphere-inspired lattice metamaterials with tunable negative thermal expansion},
author = {Li, Yangbo and Chen, Yanyu and Li, Tiantian and Cao, Siyu and Wang, Lifeng},
abstractNote = {Materials with engineered thermal expansion coefficients, capable of avoiding failure or irreversible destruction of structures and devices, are important for aerospace, civil, biomedical, optics, and semiconductor applications. In natural materials, thermal expansion usually cannot be adjusted easily and a negative thermal expansion coefficient is still uncommon. Here we propose a novel architected lattice bi-material system, inspired by the Hoberman sphere, showing a wide range of tunable thermal expansion coefficient from negative to positive, -1.04 x 10-3 degrees C-1 to 1.0 x 10-5 degrees C-1. Numerical simulations and analytical formulations are implemented to quantify the evolution of the thermal expansion coefficients and reveal the underlying mechanisms responsible for this unusual behavior. We show that the thermal expansion coefficient of the proposed metamaterials depends on the thermal expansion coefficient ratio and the axial stiffness ratio of the constituent materials, as well as the bending stiffness and the topological arrangement of the constitutive elements. The finding reported here provides a new routine to design architected metamaterial systems with tunable negative thermal expansion for a wide range of potential applications.},
doi = {10.1016/j.compstruct.2018.01.108},
journal = {Composite Structures},
number = C,
volume = 189,
place = {United States},
year = {2018},
month = {2}
}
Web of Science
Figures / Tables:

Works referenced in this record:
Printing, folding and assembly methods for forming 3D mesostructures in advanced materials
journal, March 2017
- Zhang, Yihui; Zhang, Fan; Yan, Zheng
- Nature Reviews Materials, Vol. 2, Issue 4
Lightweight Mechanical Metamaterials with Tunable Negative Thermal Expansion
journal, October 2016
- Wang, Qiming; Jackson, Julie A.; Ge, Qi
- Physical Review Letters, Vol. 117, Issue 17
Lattice Metamaterials with Mechanically Tunable Poisson’s Ratio for Vibration Control
journal, February 2017
- Chen, Yanyu; Li, Tiantian; Scarpa, Fabrizio
- Physical Review Applied, Vol. 7, Issue 2
3D Soft Metamaterials with Negative Poisson's Ratio
journal, July 2013
- Babaee, Sahab; Shim, Jongmin; Weaver, James C.
- Advanced Materials, Vol. 25, Issue 36
Harnessing out-of-plane deformation to design 3D architected lattice metamaterials with tunable Poisson’s ratio
journal, August 2017
- Li, Tiantian; Hu, Xiaoyi; Chen, Yanyu
- Scientific Reports, Vol. 7, Issue 1
Bending behavior of sandwich composite structures with tunable 3D-printed core materials
journal, September 2017
- Li, Tiantian; Wang, Lifeng
- Composite Structures, Vol. 175
Topology optimization of multi-material negative Poisson’s ratio metamaterials using a reconciled level set method
journal, February 2017
- Vogiatzis, Panagiotis; Chen, Shikui; Wang, Xiao
- Computer-Aided Design, Vol. 83
Ultralight, ultrastiff mechanical metamaterials
journal, June 2014
- Zheng, X.; Lee, H.; Weisgraber, T. H.
- Science, Vol. 344, Issue 6190
3D printed hierarchical honeycombs with shape integrity under large compressive deformations
journal, January 2018
- Chen, Yanyu; Li, Tiantian; Jia, Zian
- Materials & Design, Vol. 137
Double-Negative Mechanical Metamaterials Displaying Simultaneous Negative Stiffness and Negative Poisson's Ratio Properties
journal, October 2016
- Hewage, Trishan A. M.; Alderson, Kim L.; Alderson, Andrew
- Advanced Materials, Vol. 28, Issue 46
Hierarchical honeycomb lattice metamaterials with improved thermal resistance and mechanical properties
journal, September 2016
- Chen, Yanyu; Jia, Zian; Wang, Lifeng
- Composite Structures, Vol. 152
Harnessing structural hierarchy to design stiff and lightweight phononic crystals
journal, December 2016
- Chen, Yanyu; Wang, Lifeng
- Extreme Mechanics Letters, Vol. 9
Gold Helix Photonic Metamaterial as Broadband Circular Polarizer
journal, August 2009
- Gansel, J. K.; Thiel, M.; Rill, M. S.
- Science, Vol. 325, Issue 5947
The widespread occurrence of negative thermal expansion in zeolites
journal, January 2001
- Lightfoot, Philip; Woodcock, David A.; Maple, Martin J.
- Journal of Materials Chemistry, Vol. 11, Issue 1
Thermal expansion behavior of copper matrix composite containing negative thermal expansion PbTiO 3 particles
journal, October 2017
- Sheng, J.; Wang, L. D.; Li, D.
- Materials & Design, Vol. 132
A preliminary study of thermal expansion compensation in cement by ZrW2O8 additions
journal, August 2001
- Kofteros, M.; Rodriguez, S.; Tandon, V.
- Scripta Materialia, Vol. 45, Issue 4
Fast Algorithms of the Simulation Analysis of the Thermal Stresses on Concrete Dams during Construction Periods
journal, January 2012
- Yangbo, Li; Dahai, Huang; Jianshu, Ouyang
- Physics Procedia, Vol. 24
An improved prediction of residual stresses and distortion in additive manufacturing
journal, January 2017
- Mukherjee, T.; Zhang, W.; DebRoy, T.
- Computational Materials Science, Vol. 126
The Design of Bonded Bimaterial Lattices that Combine Low Thermal Expansion with High Stiffness: Design of Bonded Bimaterial Lattices
journal, April 2011
- Berger, Jonathan; Mercer, Chris; McMeeking, Robert M.
- Journal of the American Ceramic Society, Vol. 94
Thin and Thermally Stable Periodic Metastructures
journal, May 2013
- Gdoutos, E.; Shapiro, A. A.; Daraio, C.
- Experimental Mechanics, Vol. 53, Issue 9
Polytope Sector-Based Synthesis and Analysis of Microstructural Architectures With Tunable Thermal Conductivity and Expansion
journal, March 2016
- Hopkins, Jonathan B.; Song, Yuanping; Lee, Howon
- Journal of Mechanical Design, Vol. 138, Issue 5
A generalised scale-independent mechanism for tailoring of thermal expansivity: Positive and negative
journal, April 2008
- Miller, W.; Mackenzie, D. S.; Smith, C. W.
- Mechanics of Materials, Vol. 40, Issue 4-5
Near-zero thermal expansivity 2-D lattice structures: Performance in terms of mass and mechanical properties
journal, April 2011
- Palumbo, N. M. A.; Smith, C. W.; Miller, W.
- Acta Materialia, Vol. 59, Issue 6
Experimental investigation of the thermal properties of tailored expansion lattices
journal, March 2009
- Steeves, Craig A.; Mercer, Chris; Antinucci, Emilio
- International Journal of Mechanics and Materials in Design, Vol. 5, Issue 2
Planar lattices with tailorable coefficient of thermal expansion and high stiffness based on dual-material triangle unit
journal, January 2016
- Wei, Kai; Chen, Haosen; Pei, Yongmao
- Journal of the Mechanics and Physics of Solids, Vol. 86
Structurally Efficient Three-dimensional Metamaterials with Controllable Thermal Expansion
journal, October 2016
- Xu, Hang; Pasini, Damiano
- Scientific Reports, Vol. 6, Issue 1
Metamaterials with negative Poisson’s ratio and non-positive thermal expansion
journal, February 2017
- Ai, L.; Gao, X. -L.
- Composite Structures, Vol. 162
Negative thermal expansion materials: technological key for control of thermal expansion
journal, February 2012
- Takenaka, Koshi
- Science and Technology of Advanced Materials, Vol. 13, Issue 1
Composites with extremal thermal expansion coefficients
journal, November 1996
- Sigmund, O.; Torquato, S.
- Applied Physics Letters, Vol. 69, Issue 21
On the anisotropic and negative thermal expansion from dual-material re-entrant-type cellular metamaterials
journal, September 2016
- Ng, Chun Kit; Saxena, Krishna Kumar; Das, Raj
- Journal of Materials Science, Vol. 52, Issue 2
Tailorable thermal expansion hybrid structures
journal, June 2009
- Jefferson, George; Parthasarathy, Triplicane A.; Kerans, Ronald J.
- International Journal of Solids and Structures, Vol. 46, Issue 11-12, p. 2372-2387
Concepts for structurally robust materials that combine low thermal expansion with high stiffness
journal, September 2007
- Steeves, Craig A.; dos Santos e Lucato, Sergio L.; He, Ming
- Journal of the Mechanics and Physics of Solids, Vol. 55, Issue 9, p. 1803-1822
Porous composite with negative thermal expansion obtained by photopolymer additive manufacturing
journal, July 2015
- Takezawa, Akihiro; Kobashi, Makoto; Kitamura, Mitsuru
- APL Materials, Vol. 3, Issue 7
Negative thermal expansion artificial material from iron-nickel alloys by oxide co-extrusion with reductive sintering
journal, July 2004
- Qi, J.; Halloran, J. W.
- Journal of Materials Science, Vol. 39, Issue 13
Controllable thermal expansion of large magnitude in chiral negative Poisson's ratio lattices: Controllable thermal expansion in chiral negative Poisson's ratio lattices
journal, April 2015
- Ha, Chan Soo; Hestekin, Eric; Li, Jianheng
- physica status solidi (b), Vol. 252, Issue 7
Isotropic Negative Thermal Expansion Metamaterials
journal, June 2016
- Wu, Lingling; Li, Bo; Zhou, Ji
- ACS Applied Materials & Interfaces, Vol. 8, Issue 27
Unimode metamaterials exhibiting negative linear compressibility and negative thermal expansion
journal, January 2016
- Dudek, Krzysztof K.; Attard, Daphne; Caruana-Gauci, Roberto
- Smart Materials and Structures, Vol. 25, Issue 2
Elastic properties of chiral, anti-chiral, and hierarchical honeycombs: A simple energy-based approach
journal, March 2016
- Mousanezhad, Davood; Haghpanah, Babak; Ghosh, Ranajay
- Theoretical and Applied Mechanics Letters, Vol. 6, Issue 2
Origami Metamaterials for Tunable Thermal Expansion
journal, May 2017
- Boatti, Elisa; Vasios, Nikolaos; Bertoldi, Katia
- Advanced Materials, Vol. 29, Issue 26
Harnessing Buckling to Design Architected Materials that Exhibit Effective Negative Swelling
journal, May 2016
- Liu, Jia; Gu, Tianyu; Shan, Sicong
- Advanced Materials, Vol. 28, Issue 31
Stiff lattices with zero thermal expansion
journal, May 2012
- Lehman, Jeremy; Lakes, Roderic
- Journal of Intelligent Material Systems and Structures, Vol. 23, Issue 11
Micro-Structured Two-Component 3D Metamaterials with Negative Thermal-Expansion Coefficient from Positive Constituents
journal, January 2017
- Qu, Jingyuan; Kadic, Muamer; Naber, Andreas
- Scientific Reports, Vol. 7, Issue 1
Thin Films with Ultra-low Thermal Expansion
journal, February 2014
- Yamamoto, Namiko; Gdoutos, Eleftherios; Toda, Risaku
- Advanced Materials, Vol. 26, Issue 19
Colossal negative thermal expansion in reduced layered ruthenate
journal, January 2017
- Takenaka, Koshi; Okamoto, Yoshihiko; Shinoda, Tsubasa
- Nature Communications, Vol. 8, Issue 1
Uniaxial negative thermal expansion and metallophilicity in Cu3[Co(CN)6]
journal, February 2018
- Sapnik, A. F.; Liu, X.; Boström, H. L. B.
- Journal of Solid State Chemistry, Vol. 258
Multilevel hierarchy in bi-material lattices with high specific stiffness and unbounded thermal expansion
journal, August 2017
- Xu, Hang; Farag, Amr; Pasini, Damiano
- Acta Materialia, Vol. 134
Works referencing / citing this record:
Lightweight architected hollow sphere foams for simultaneous noise and vibration control
journal, June 2019
- Jiang, Huan; Chen, Yanyu
- Journal of Physics D: Applied Physics, Vol. 52, Issue 32
Composite metamaterial with sign-switchable coefficients of hygroscopic, thermal and pressure expansions
journal, November 2019
- Lim, Teik-Cheng
- Advanced Composites and Hybrid Materials, Vol. 2, Issue 4
Thermally triggered tunable vibration mitigation in Hoberman spherical lattice metamaterials
journal, May 2019
- Li, Yangbo; Shen, Yan; Cao, Siyu
- Applied Physics Letters, Vol. 114, Issue 19
2D metamaterial with in-plane positive and negative thermal expansion and thermal shearing based on interconnected alternating bimaterials
journal, September 2019
- Lim, Teik-Cheng
- Materials Research Express, Vol. 6, Issue 11
Figures / Tables found in this record: