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Durable bistable auxetics made of rigid solids

Published online by Cambridge University Press:  06 November 2017

Xiao Shang ,
Lu Liu ,
Ahmad Rafsanjani  and
Damiano Pasini
Xiao Shang
Affiliation:
Department of Mechanical Engineering, McGill University, Montreal, Quebec H3A 0C3, Canada
Lu Liu
Affiliation:
Department of Mechanical Engineering, McGill University, Montreal, Quebec H3A 0C3, Canada
Ahmad Rafsanjani
Affiliation:
John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts 02138, USA
Damiano Pasini*
Affiliation:
Department of Mechanical Engineering, McGill University, Montreal, Quebec H3A 0C3, Canada
*
a) Address all correspondence to this author. e-mail: damiano.pasini@mcgill.ca
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Abstract

Bistable Auxetic Metamaterials (BAMs) are a class of monolithic perforated periodic structures with negative Poisson’s ratio. Under tension, a BAM can expand and reach a second state of equilibrium through a globally large shape transformation that is ensured by the flexibility of its elastomeric base material. However, if made from a rigid polymer, or metal, BAM ceases to function due to the inevitable rupture of its ligaments. The goal of this work is to extend the unique functionality of the original kirigami architecture of BAM to a rigid solid base material. We use experiments and numerical simulations to assess performance, bistability, and durability of rigid BAMs at 10,000 cycles. Geometric maps are presented to elucidate the role of the main descriptors of the BAM architecture. The proposed design enables the realization of BAM from a large palette of materials, including elastic-perfectly plastic materials and potentially brittle materials.

Keywords

cellularfatiguepolymer
Type
Invited Articles
Information
Journal of Materials Research , Volume 33 , Issue 3: Focus Issue: Architected Materials , 14 February 2018 , pp. 300 - 308
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Copyright
Copyright © Materials Research Society 2017 

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Footnotes

Contributing Editor: Katia Bertoldi

References

REFERENCES

Pendry, J.B., Holden, A.J., Robbins, D.J., and Stewart, W.J.: Magnetism from conductors and enhanced nonlinear phenomena. IEEE Trans. Microwave Theory Tech. 47, 2075 (1999).CrossRefGoogle Scholar
Lee, J.H., Singer, J.P., and Thomas, E.L.: Micro-/nanostructured mechanical metamaterials. Adv. Mater. 24, 4782 (2012).Google Scholar
Ding, Y., Liu, Z., Qiu, C., and Shi, J.: Metamaterial with simultaneously negative bulk modulus and mass density. Phys. Rev. Lett. 99, 093904 (2007).Google Scholar
Liu, X., Hu, G., Huang, G., and Sun, C.: An elastic metamaterial with simultaneously negative mass density and bulk modulus. Appl. Phys. Lett. 98, 251907 (2011).CrossRefGoogle Scholar
Kadic, M., Bückmann, T., Stenger, N., Thiel, M., and Wegener, M.: On the practicability of pentamode mechanical metamaterials. Appl. Phys. Lett. 100, 191901 (2012).Google Scholar
Milton, G.W.: Composite materials with poisson’s ratios close to—1. J. Mech. Phys. Solids 40, 1105 (1992).Google Scholar
Rafsanjani, A., Akbarzadeh, A., and Pasini, D.: Snapping mechanical metamaterials under tension. Adv. Mater. 27, 5931 (2015).CrossRefGoogle ScholarPubMed
Haghpanah, B., Salari-Sharif, L., Pourrajab, P., Hopkins, J., and Valdevit, L.: Multistable shape-reconfigurable architected materials. Adv. Mater. 28, 7915 (2016).Google Scholar
Greaves, G.N., Greer, A.L., Lakes, R.S., and Rouxel, T.: Poisson’s ratio and modern materials. Nat. Mater. 10, 823 (2011).Google Scholar
Evans, K.E., Nkansah, M.A., Hutchinson, I.J., and Rogers, S.C.: Molecular network design. Nature 353, 124 (1991).Google Scholar
Lakes, R.: Foam structures with a negative Poisson’s ratio. Science 235, 1038 (1987).Google Scholar
Ali, M.N., Busfield, J.J.C., and Rehman, I.U.: Auxetic oesophageal stents: Structure and mechanical properties. J. Mater. Sci.: Mater. Med. 25, 527 (2014).Google ScholarPubMed
Gatt, R., Mizzi, L., Azzopardi, J.I., Azzopardi, K.M., Attard, D., Casha, A., Briffa, J., and Grima, J.N.: Hierarchical auxetic mechanical metamaterials. Sci. Rep. 5, 8395 (2015).Google Scholar
Scarpa, F., Ciffo, L.G., and Yates, J.R.: Dynamic properties of high structural integrity auxetic open cell foam. Smart Mater. Struct. 13, 49 (2004).Google Scholar
Taylor, M., Francesconi, L., Gerendás, M., Shanian, A., Carson, C., and Bertoldi, K.: Low porosity metallic periodic structures with negative Poisson’s ratio. Adv. Mater. 26, 2365 (2014).Google Scholar
Javid, F., Liu, J., Rafsanjani, A., Schaenzer, M., Pham, M.Q., Backman, D., Yandt, S., Innes, M.C., Booth-Morrison, C., Gerendas, M., Scarinci, T., Shanian, A., and Bertoldi, K.: On the design of porous structures with enhanced fatigue life. Extreme Mech. Lett. 16, 13 (2017).Google Scholar
Grima, J.N. and Gatt, R.: Perforated sheets exhibiting negative Poisson’s ratios. Adv. Eng. Mater. 12, 460 (2010).Google Scholar
Grima, J.N., Mizzi, L., Azzopardi, K.M., and Gatt, R.: Auxetic perforated mechanical metamaterials with randomly oriented cuts. Adv. Mater. 28, 385 (2016).Google Scholar
Yasuda, H. and Yang, J.: Reentrant origami-based metamaterials with negative Poisson’s ratio and bistability. Phys. Rev. Lett. 114, 185502 (2015).CrossRefGoogle ScholarPubMed
Filipov, E.T., Tachi, T., and Paulino, G.H.: Origami tubes assembled into stiff, yet reconfigurable structures and metamaterials. Proc. Natl. Acad. Sci. U. S. A. 112, 12321 (2015).Google Scholar
Bertoldi, K., Reis, P.M., Willshaw, S., and Mullin, T.: Negative Poisson’s ratio behavior induced by an elastic instability. Adv. Mater. 22, 361 (2010).Google Scholar
Ghaedizadeh, A., Shen, J., Ren, X., and Xie, Y.M.: Tuning the performance of metallic auxetic metamaterials by using buckling and plasticity. Materials 9, 54 (2016).Google Scholar
Findeisen, C., Hohe, J., Kadic, M., and Gumbsch, P.: Characteristics of mechanical metamaterials based on buckling elements. J. Mech. Phys. Solids 102, 151 (2017).Google Scholar
Babaee, S., Shim, J., Weaver, J.C., Chen, E.R., Patel, N., and Bertoldi, K.: 3D soft metamaterials with negative Poisson’s ratio. Adv. Mater. 25, 5044 (2013).Google Scholar
Prasad, J. and Diaz, A.R.: Synthesis of bistable periodic structures using topology optimization and a genetic algorithm. J. Mech. Des. 128, 1298 (2005).Google Scholar
Restrepo, D., Mankame, N.D., and Zavattieri, P.D.: Phase transforming cellular materials. Extreme Mech. Lett. 4, 52 (2015).Google Scholar
Hewage, T.A.M., Alderson, K.L., Alderson, A., and Scarpa, F.: Double-negative mechanical metamaterials displaying simultaneous negative stiffness and negative Poisson’s ratio properties. Adv. Mater. 28, 10323 (2016).Google Scholar
Silverberg, J.L., Na, J-H., Evans, A.A., Liu, B., Hull, T.C., Santangelo, C.D., Lang, R.J., Hayward, R.C., and Cohen, I.: Origami structures with a critical transition to bistability arising from hidden degrees of freedom. Nat. Mater. 14, 389 (2015).Google Scholar
Rafsanjani, A. and Pasini, D.: Bistable auxetic mechanical metamaterials inspired by ancient geometric motifs. Extreme Mech. Lett. 9(Part 2), 291 (2016).Google Scholar
Jensen, B.D., Howell, L.L., and Salmon, L.G.: Design of two-link, in-plane, bistable compliant micro-mechanisms. J. Mech. Des 121, 416 (1999).CrossRefGoogle Scholar
Hanaor, A. and Levy, R.: Evaluation of deployable structures for space enclosures. Int. J. Space Struct. 16, 211 (2001).Google Scholar
Zhao, J-S., Chu, F., and Feng, Z-J.: The mechanism theory and application of deployable structures based on SLE. Mech. Mach. Theory 44, 324 (2009).CrossRefGoogle Scholar
Masoumi Khalil Abad, E., Arabnejad Khanoki, S., and Pasini, D.: Fatigue design of lattice materials via computational mechanics: Application to lattices with smooth transitions in cell geometry. Int. J. Fatigue 47, 126 (2013).Google Scholar

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