Tuning the performance of metallic auxetic metamaterials by using buckling and plasticity

Materials

Volumn 9, Issue 1, 2016, Pages

  Ghaedizadeh, Arash ^a   Shen, Jianhu ^a   Ren, Xin ^a,b   Xie, Yi Min ^a  

^a RMIT UNIVERSITY   (Australia)

^b CENTRAL SOUTH UNIVERSITY   (China)

Author keywords

Auxetic; Buckling; Large deformation; Mechanical metamaterial; Plasticity

Indexed keywords

ELASTOMERS; FINITE ELEMENT METHOD; METALS; METAMATERIALS; MICROSTRUCTURE; PLASTIC DEFORMATION; PLASTICITY;

AUXETIC; BUCKLING BEHAVIORS; FINITE ELEMENT SIMULATIONS; LARGE PLASTIC DEFORMATION; MECHANICAL PERFORMANCE; METALLIC MICROSTRUCTURES; NONLINEAR DEFORMATIONS; NUMERICAL AND EXPERIMENTAL STUDY;

BUCKLING;

EID: 84956699202     PISSN: None     EISSN: 19961944     Source Type: Journal    
DOI: 10.3390/ma9010054     Document Type: Article

References (41)

1. Evans, K.E.; Alderson, A. Auxetic materials: Functional materials and structures from lateral thinking! Adv. Mater. 2000, 12, 617-628
2. Fozdar, D.Y.; Soman, P.; Lee, J.W.; Han, L.-H.; Chen, S. Three dimensional polymer constructs exhibiting a tunable negative poisson's ratio. Adv. Mater. 2011, 21, 2712-2720
3. Lakes, R. Foam structures with a negative Poisson's ratio. Science 1987, 235, 1038-1040
4. Evans, K.E.; Nkansah, M.A.; Hutchinson, I.J.; Rogers, S.C. Molecular network design. Nature 1991, 353, 124
5. Friis, E.A.; Lakes, R.S.; Park, J.B. Negative Poisson's ratio polymeric and metallic foams. J. Mater. Sci. 1988, 23, 4406-4414
6. Evans, K.E.; Caddock, B.D. Microporous materials with negative Poisson's ratios. I. Microstructure and mechanical properties. J. Phys. D Appl. Phys. 1989, 22, 1877-1882
7. Evans, K.E.; Caddock, B.D. Microporous materials with negative Poisson's ratios. II. Mechanisms and interpretation. J. Phys. D Appl. Phys. 1989, 22, 1883-1887
8. Yang, W.; Li, Z.M.; Shi, W.; Xie, B.H.; Yang, M.B. Review on auxetic materials. J. Mater. Sci. 2004, 39, 3269-3279
9. Critchley, R.; Corni, I.; Wharton, J.A.; Walsh, F.C.; Wood, R.J.K.; Stokes, K.R. A review of the manufacture, mechanical properties and potential applications of auxetic foams. Phys. Status Solidi B 2013, 250, 1963-1982
10. Shen, J.; Zhou, S.; Huang, X.; Xie, Y.M. Simple cubic three-dimensional auxetic metamaterials. Phys. Status Solidi B 2014, 251, 1515-1522
11. Bertoldi, K.; Reis, P.M.; Willshaw, S.; Mullin, T. Negative Poisson's ratio behaviour induced by an elastic instability. Adv. Mater. 2010, 22, 361-366
12. Mancusi, G.; Feo, L. A refined finite element formulation for the microstructure-dependent analysis of two-dimensional (2D) lattice materials. Materials 2013, 6, 1-17
13. Choi, J.B.; Lakes, R.S. Design of a fastener based on negative Poisson's ratio foam. Cell. Polym. 1991, 10, 205-212.
14. Scarpa, F. Auxetic materials for bioprostheses. IEEE Sig. Proc. Mag. 2008, 25, 128-126
15. Chen, C.P.; Lakes, R.S. Micromechanical analysis of dynamic behavior of conventional and negative Poisson's ratio foams. J. Eng. Mater. Technol. 1996, 118, 285-288
16. Scarpa, F.; Ciffo, L.; Yates, J. Dynamic properties of high structural integrity auxetic open cell foam. Smart Mater. Struct. 2004, 13
17. Alderson, A.; Rasburn, J.; Ameer-Beg, S.; Mullarkey, P.G.; Perrie,W.; Evans, K.E. An auxetic filter: A tuneable filter displaying enhanced size selectivity or defouling properties. Ind. Eng. Chem. Res. 2000, 39, 654-665
18. Sun, Y.; Pugno, N. Hierarchical fibers with a negative Poisson's Ratio for tougher composites. Materials 2013, 6, 699-712
19. Gibson, L.J.; Ashby, M.F.; Schajer, G.S.; Robertson, C.I. The mechanics of two-dimensional cellular materials. Proc. R. Soc. Lond. A 1982, 382, 25-42
20. Theocaris, P.S.; Stavroulakis,G.E.; Panagiotopoulos, P.D.Negative Poisson's ratios in compositeswith star-shaped inclusions: A numerical homogenization approach. Arch. Appl. Mech. 1997, 67, 274-286
21. Smith, C.W.; Grima, J.N.; Evans, K.E. A novel mechanism for generating auxetic behaviour in reticulated foams: Missing rib foam model. Acta Mater. 2000, 48, 4349-4356
22. Gaspar, N.; Ren, X.J.; Smith, C.W.; Grima, J.N.; Evans, K.E. Novel honeycombs with auxetic behaviour. Acta Mater. 2005, 53, 2439-2445
23. Babaee, S.; Shim, J.; Weaver, J.C.; Chen, E.R.; Pate, N.; Bertoldi, K. Soft metamaterials with negative Poisson's Ratio. Adv. Mater. 2013, 25, 5044-5049
24. Taylor, M.; Francesconi, L.; Gerendás, M.; Shanian, A.; Carson, C.; Bertoldi, K. Low porosity metallic periodic structures with negative Poisson's ratio. Adv. Mater. 2014, 26, 2365-2370
25. Dirrenberger, J.; Forest, S.; Jeulin,D. Elastoplasticity of auxeticmaterials. Comp. Mater. Sci. 2012, 64, 57-61
26. Gilat, R.; Aboudi, J. Behavior of elastoplastic auxeticmicrostructural arrays.Materials 2013, 6, 726-737
27. Bertoldi, K.; Boyce, M.C.; Deschanel, S.; Prange, S.M.; Mullin, T. Mechanics of deformation-triggered pattern transformations and superelastic behavior in periodic elastomeric structures. J. Mech. Phys. Solids 2008, 56, 2642-2668
28. Mullin, T.; Willshaw, S.; Box, F. Pattern switching in soft cellular solids under compression. Soft Matter 2013, 9, 4951-4955
29. Ren, X.; Shen, J.; Ghaedizadeh, A.; Tian, H.; Xie, Y.M. Experiments and parametric studies on 3D metallic auxetic metamaterials with tuneable mechanical properties. Smart Mater. Struct. 2015, 24
30. Singamaneni, S.; Tsukruk, V.V. Buckling instabilities in periodic composite polymeric materials. Soft Matter 2010, 6, 5681-5692
31. Ho, D.T.; Park, S.-D.; Kwon, S.-Y.; Park, K.; Kim, S.Y. Negative Poisson's ratios in metal nanoplates. Nat. Commun. 2014, 5
32. Jiang, J.W.; Park, H.S. Negative Poisson's ratio in single-layer black phosphorus. Nat. Commun. 2014, 5
33. Mullin, T.; Deschanel, S.; Bertoldi, K.; Boyce, M.C. Pattern transformation triggered by deformation. Phys. Rev. Lett. 2007, 9
34. Wu, G.; Xia, Y.; Yang, S. Buckling, symmetry breaking, and cavitation in periodically micro-structured hydrogel membranes. Soft Matter 2014, 10, 1392-1399
35. Körner, C.; Liebold-Ribeiro, Y. A systematic approach to identify cellular auxetic materials. Smart Mater. Struct. 2015, 24
36. Shen, J.; Xie, Y.M.; Huang, X.D.; Zhou, S.W.; Ruan, D. Mechanical properties of luffa sponge. J. Mech. Behav. Biomed. Mater. 2012, 15, 141-152
37. Hanssen, A.G.; Hopperstad, O.S.; Langseth, M.; Ilstad, H. Validation of constitutive models applicable to aluminium foams. Int. J. Mech. Sci. 2002, 44, 359-406
38. Avalle, M.; Belingardi, G.; Montanini, R. Characterization of polymeric structural foams under compressive impact loading by means of energy-absorption diagram. Int. J. Impact. Eng. 2001, 25, 455-472
39. Grima, J.N.; Alderson, A.; Evans, K.E. Auxetic behaviour from rotating rigid units. Phys. Status Solidi B 2005, 242, 561-575
40. Wu, G.; Cho, Y.; Choi, I.-S.; Ge, D.; Li, J.; Han, H.N.; Lubensky, T.; Yang, S. Directing the deformation paths of soft metamaterials with prescribed a symmetric units. Adv. Mater. 2015, 27, 2747-2752
41. Ishibashi, Y.; Iwata, M.A. Microscopic model of a negative poisson's ratio in some crystals. J. Phys. Soc. Jpn. 2000, 69, 2702-2703