[1] Hui W, Ohtaki H, Kotosaka S, Hu G. A study of negative Poisson’s ratio in auxetic honeycombs based on a large deflection mode. European Journal of Mechanics-A: Solids. 2004;23:95-106.
[2] Evans K. The design of doubly curved sandwich panels with honeycomb cores. Composite structures. 1991;17:95-111.
[3] Sadd MH. Elasticity: theory, applications, and numerics: Academic Press, 2009.
[4] Lempriere B. Poisson's ratio in orthotropic materials. Aiaa Journal. 1968;6:2226-7.
[5] Baughman RH, Shacklette JM, Zakhidov AA, Stafström S. Negative Poisson's ratios as a common feature of cubic metals. Nature. 1998;392:362-5.
[6] Veronda D, Westmann R. Mechanical characterization of skin—finite deformations. Journal of biomechanics. 1970;3:111-24.
[7] Lees C, Vincent JF, Hillerton JE. Poisson's ratio in skin. Bio-medical materials and engineering. 1991;1:19-23.
[8] Williams J, Lewis J. Properties and an anisotropic model of cancellous bone from the proximal tibial epiphysis. 1982.
[9] Li Y. The anisotropic behavior of Poisson's ratio, Young's modulus, and shear modulus in hexagonal materials. Physica Status Solidi (A). 1976;38:171-5.
[10] Mir M, Ali MN, Sami J, Ansari U. Review of mechanics and applications of auxetic structures. Advances in Materials Science and Engineering. 2014;2014.
[11] Evans KE. Auxetic polymers: a new range of materials. Endeavour. 1991;15:170-4.
[12] Qiu Z. A Simple Theory of Asymmetric Linear Elasticity. World Journal of Mechanics. 2020;10:166-85.
[13] Lakes R. Foam structures with a negative Poisson's ratio. Science. 1987;235:1038-40.
[14] Greaves GN, Greer AL, Lakes RS, Rouxel T. Poisson's ratio and modern materials. Nature materials. 2011;10:823-37.
[15] Jiang J-W, Park HS. Negative poisson’s ratio in single-layer black phosphorus. Nature communications. 2014;5:1-7.
[16] Ren X, Shen J, Tran P, Ngo TD, Xie YM. Auxetic nail: Design and experimental study. Composite structures. 2018;184:288-98.
[17] Sun Y, Pugno N. Hierarchical fibers with a negative Poisson’s ratio for tougher composites. Materials. 2013;6:699-712.
[18] Scarpa F. Auxetic materials for bioprostheses [In the Spotlight]. IEEE Signal Processing Magazine. 2008;25:128-6.
[19] Park YJ, Kim JK. The effect of negative Poisson’s ratio polyurethane scaffolds for articular cartilage tissue engineering applications. Advances in Materials Science and Engineering. 2013;2013.
[20] Alderson A, Alderson K. Proceedings of the Institution of Mechanical Engineers, Part G. J Aerospace Eng. 2007;221:565-75.
[21] Bhullar SK. Three decades of auxetic polymers: a review. e-Polymers. 2015;15:205-15.
[22] Mirzaali M, Pahlavani H, Zadpoor A. Auxeticity and stiffness of random networks: Lessons for the rational design of 3D printed mechanical metamaterials. Applied Physics Letters. 2019;115:021901.
[23] Mirzaali M, Hedayati R, Vena P, Vergani L, Strano M, Zadpoor A. Rational design of soft mechanical metamaterials: Independent tailoring of elastic properties with randomness. Applied Physics Letters. 2017;111:051903.
[24] Mirzaali M, Caracciolo A, Pahlavani H, Janbaz S, Vergani L, Zadpoor A. Multi-material 3D printed mechanical metamaterials: Rational design of elastic properties through spatial distribution of hard and soft phases. Applied Physics Letters. 2018;113:241903.
[25] Pahlavani H, Amani M, Saldívar MC, Zhou J, Mirzaali MJ, Zadpoor AA. Deep learning for the rare-event rational design of 3D printed multi-material mechanical metamaterials. arXiv preprint arXiv:220401769. 2022.
[26] Gibson I, Ashby MF. The mechanics of three-dimensional cellular materials. Proceedings of the royal society of London A Mathematical and physical sciences. 1982;382:43-59.
[27] Kolken HM, Zadpoor A. Auxetic mechanical metamaterials. RSC advances. 2017;7:5111-29.
[28] Ashby MF, Gibson LJ. Cellular solids: structure and properties. Press Syndicate of the University of Cambridge, Cambridge, UK. 1997:175-231.
[29] Larsen UD, Signund O, Bouwsta S. Design and fabrication of compliant micromechanisms and structures with negative Poisson's ratio. Journal of microelectromechanical systems. 1997;6:99-106.
[30] Theocaris P, Stavroulakis G, Panagiotopoulos P. Negative Poisson's ratios in composites with star-shaped inclusions: a numerical homogenization approach. Archive of Applied Mechanics. 1997;67:274-86.
[31] Smith CW, Grima J, Evans K. A novel mechanism for generating auxetic behaviour in reticulated foams: missing rib foam model. Acta materialia. 2000;48:4349-56.
[32] Yanping L, Hong H. A review on auxetic structures and polymeric materials. Scientific Research and Essays. 2010;5:1052-63.
[33] Dolla WJS, Fricke BA, Becker BR. Structural and drug diffusion models of conventional and auxetic drug-eluting stents. 2007.
[34] Lakes R. Deformation mechanisms in negative Poisson's ratio materials: structural aspects. Journal of materials science. 1991;26:2287-92.
[35] Prall D, Lakes R. Properties of a chiral honeycomb with a Poisson's ratio of—1. International Journal of Mechanical Sciences. 1997;39:305-14.
[36] Grima JN, Gatt R, Farrugia PS. On the properties of auxetic meta‐tetrachiral structures. physica status solidi (b). 2008;245:511-20.
[37] Lorato A, Innocenti P, Scarpa F, Alderson A, Alderson K, Zied K, et al. The transverse elastic properties of chiral honeycombs. Composites Science and Technology. 2010;70:1057-63.
[38] Grima JN, Evans KE. Auxetic behavior from rotating squares. Journal of Materials Science Letters. 2000;19:1563-5.
[39] Attard D, Casha AR, Grima JN. Filtration properties of auxetics with rotating rigid units. Materials. 2018;11:725.
[40] Wojciechowski K. Constant thermodynamic tension Monte Carlo studies of elastic properties of a two-dimensional system of hard cyclic hexamers. Molecular Physics. 1987;61:1247-58.
[41] Khoshgoftar MJ, Barkhordari A, Seifoori S, Mirzaali MJ. Elasticity Approach to Predict Shape Transformation of Functionally Graded Mechanical Metamaterial under Tension. Materials. 2021;14:3452.
[42] Caddock B, Evans K. Microporous materials with negative Poisson's ratios. I. Microstructure and mechanical properties. Journal of Physics D: Applied Physics. 1989;22:1877.
[43] He C, Liu P, Griffin AC. Toward negative Poisson ratio polymers through molecular design. Macromolecules. 1998;31:3145-7.
[44] Evans KE, Alderson K. Auxetic materials: the positive side of being negative. Engineering Science & Education Journal. 2000;9:148-54.
[45] Ng WS, Hu H. Tensile and deformation behavior of auxetic plied yarns. physica status solidi (b). 2017;254:1600790.
[46] Carneiro VH, Meireles J, Puga H. Auxetic materials—A review. Materials Science-Poland. 2013;31:561-71.
[47] Evans KE, Alderson A. Auxetic materials: functional materials and structures from lateral thinking! Advanced materials. 2000;12:617-28.
[48] Critchley R, Corni I, Wharton JA, Walsh FC, Wood RJ, Stokes KR. A review of the manufacture, mechanical properties and potential applications of auxetic foams. physica status solidi (b). 2013;250:1963-82.
[49] Khoshgoftar M, Barkhordari A. Sensitivity analysis and study of parameters affecting auxetic cells with reentrant cell structure. Materials Today Communications. 2022:103786.
[50] Choi J, Lakes R. Non-linear properties of metallic cellular materials with a negative Poisson's ratio. Journal of materials science. 1992;27:5375-81.
[51] Khoshgoftar M, Barkhordari A. Sensitivity analysis and study of parameters affecting auxetic cells with reentrant cell structure. Materials Today Communications. 2022:103786.
[52] Kolken H, Garcia AF, Du Plessis A, Meynen A, Rans C, Scheys L, et al. Mechanisms of fatigue crack initiation and propagation in auxetic meta-biomaterials. Acta Biomaterialia. 2022;138:398-409.
[53] Kolken H, Garcia AF, Du Plessis A, Rans C, Mirzaali M, Zadpoor A. Fatigue performance of auxetic meta-biomaterials. Acta Biomaterialia. 2021;126:511-23.
[54] Donoghue J, Alderson K, Evans K. The fracture toughness of composite laminates with a negative Poisson's ratio. physica status solidi (b). 2009;246:2011-7.
[55] Bhullar SK, Rana D, Lekesiz H, Bedeloglu AC, Ko J, Cho Y, et al. Design and fabrication of auxetic PCL nanofiber membranes for biomedical applications. Materials Science and Engineering: C. 2017;81:334-40.
[56] Yang S, Chalivendra VB, Kim YK. Fracture and impact characterization of novel auxetic Kevlar®/Epoxy laminated composites. Composite structures. 2017;168:120-9.
[57] Mirzaali M, Janbaz S, Strano M, Vergani L, Zadpoor AA. Shape-matching soft mechanical metamaterials. Scientific reports. 2018;8:1-7.
[58] Mirzaali MJ, Ghorbani A, Nakatani K, Nouri‐Goushki M, Tümer N, Callens SJ, et al. Curvature Induced by Deflection in Thick Meta‐Plates. Advanced materials. 2021;33:2008082.
[59] Magna RL, Knippers J. Tailoring the bending behaviour of material patterns for the induction of double curvature. Humanizing digital reality: Springer; 2018. p. 441-52.
[60] Alderson A, Rasburn J, Evans K, Grima J. Auxetic polymeric filters display enhanced de-fouling and pressure compensation properties. Membrane Technology. 2001;2001:6-8.
[61] Bezazi A, Boukharouba W, Scarpa F. Mechanical properties of auxetic carbon/epoxy composites: Static and cyclic fatigue behaviour. physica status solidi (b). 2009;246:2102-10.
[62] Yang S, Qi C, Wang D, Gao R, Hu H, Shu J. A comparative study of ballistic resistance of sandwich panels with aluminum foam and auxetic honeycomb cores. Advances in Mechanical Engineering. 2013;5:589216.
[63] Zhang X-c, Ding H-m, An L-q, Wang X-l. Numerical investigation on dynamic crushing behavior of auxetic honeycombs with various cell-wall angles. Advances in Mechanical Engineering. 2015;7:679678.
[64] Baughman RH, Shacklette JM, Zakhidov AA, Stafström S. Negative Poisson's ratios as a common feature of cubic metals. Nature. 1998;392:362-5.
[65] Friis E, Lakes R, Park J. Negative Poisson's ratio polymeric and metallic foams. Journal of materials science. 1988;23:4406-14.
[66] Avellaneda M, Swart PJ. Calculating the performance of 1–3 piezoelectric composites for hydrophone applications: an effective medium approach. The Journal of the Acoustical Society of America. 1998;103:1449-67.
[67] Ali MN, Busfield JJ, Rehman IU. Auxetic oesophageal stents: structure and mechanical properties. Journal of Materials Science: Materials in Medicine. 2014;25:527-53.
[68] Borhan S, Esmaeilzadeh J. Fabrication of Nanostructured Apatite Scaffolds by Freeze-Casting Method for Bone Tissue Engineering. Journal of Advanced Materials and Technologies. 2021;10:21-31.
[69] Mirzaali MJ, Moosabeiki V, Rajaai SM, Zhou J, Zadpoor AA. Additive Manufacturing of Biomaterials—Design Principles and Their Implementation. Materials. 2022;15:5457.
[70] Kolken H, Callens S, Leeflang M, Mirzaali M, Zadpoor A. Merging strut-based and minimal surface meta-biomaterials: Decoupling surface area from mechanical properties. Additive Manufacturing. 2022;52:102684.
[71] Bhullar S, Ko J, Ahmed F, Jun M. Design and fabrication of stent with negative Poisson’s ratio. International Journal of Mechanical and Mechatronics Engineering. 2014;8:448-54.