Composite metamaterial square grids with sign-flipping expansion coefficients leading to a type of Islamic design

Tümkaya MA, Karaaslan M, Sabah C (2018) Metamaterial-based high efficiency portable sensor application for determining branded and unbranded fuel oil. Bull Mater Sci 41:91 Abdulkarim YI, Deng L, Awl HN, Muhammadsharif FF, Altintas O, Karaaslan M, Luo H (2020) Design of a broadband coplanar waveguide-fed antenna incorporating organic solar cells with 100% insolation for Ku band satellite communication. Materials 13:142 Ozdemir E, Akgol O, Alkurt FO, Karaaslan M, Abdulkarim YI, Deng L (2020) Mutual coupling reduction of cross-dipole antenna for base stations by using a neural network approach. Appl Sci 10:378 Abdulkarim YI, Deng L, Karaaslan M, Altintas O, Awl HN, Muhammadsharif FF, Liao C, Unal E, Luo H (2020) Novel metamaterials-based hypersensitized liquid sensor integrating omega-shaped resonator with microstrip transmission line. Sensors 20:943 Dalgac S, Bakır M, Karadag F, Karaaslan M, Akgol O, Unal E, Sabah C (2020) Microfluidic sensor applications by using chiral metamaterial. Mod Phys Lett B 34:2050031 Evans KE (1991) Auxetic polymers: a new range of materials. Endeavour 15:170–174 Alderson A, Alderson KL (2007) Auxetic materials. J Aerosp Eng 221:565–575 Liu Y, Hu H (2010) A review on auxetic structures and polymeric materials. Sci Res Essays 5:1052–1063 Greaves GN, Greer AL, Lakes RS, Rouxel T (2011) Poisson's ratio and modern materials. Nat Mater 10:823–837 Carneiro VH, Meireles J, Puga H (2013) Auxetic materials—a review. Mater Sci Poland 31:561–571 Novak N, Vesenjak M, Ren Z (2016) Auxetic cellular materials–a review Strojniški Vestnik. J Mech Eng 62:485–493 Saxena KK, Das R, Calius EP (2016) Three decades of auxetics research–materials with negative Poisson's ratio: a review. Adv Eng Mater 18:1847–1870 Jiang JW, Kim SY, Park HS (2016) Auxetic nanomaterials: Recent progress and future development. Appl Phys Rev 3:041101 Lim TC (2017) Analogies across auxetic models based on deformation mechanism. Phys Status Solidi RRL 11:1600440 Kolken HMA, Zadpoor AA (2017) Auxetic mechanical metamaterials. RSC Adv 7:5111–5129 Park HS, Kim SY (2017) A perspective on auxetic nanomaterials. Nano Converg 4:10 Lakes RS (2017) Negative-poisson's-ratio materials: auxetic solids. Ann Rev Mater Res 47:63–81 Papadopoulou A, Laucks J, Tibbits S (2017) Auxetic materials in design and architecture. Nat Rev Mater 2:17078 Duncan O, Shepherd T, Moroney C, Foster L, Venkatraman PD, Winwood K, Allen T, Alderson A (2018) Review of auxetic materials for sports applications: expanding options in comfort and protection. Appl Sci 8:941 Ren X, Das R, Tran P, Ngo TD, Xie YM (2018) Auxetic metamaterials and structures: a review. Smart Mater Struct 27:023001 Lim TC (2015) Auxetic materials and structures. Springer, Singapore Hu H, Zhang M, Liu Y (2019) Auxetic textiles. Elsevier, Duxford Lim TC (2005) Anisotropic and negative thermal expansion behavior in a cellular microstructure. J Mater Sci 40:3275–3277 Miller W, Smith CW, MacKenzie DS, Evans KE (2009) Negative thermal expansion: a review. J Mater Sci 44:5441–5451 Lim TC (2012) Negative thermal expansion structures constructed from positive thermal expansion trusses. J Mater Sci 47:368–373 Ng CK, Saxena KK, Das R, Flores EIS (2017) On the anisotropic and negative thermal expansion from dual-material re-entrant-type cellular metamaterials. J Mater Sci 52:8999–9912 Ai L, Gao XL (2017) Metamaterials with negative Poisson’s ratio and non-positive thermal expansion. Compos Struct 162:70–84 Lim TC (2017) Auxetic and negative thermal expansion structure based on interconnected array of rings and sliding rods. Phys Status Solidi B 254:1600775 Wei K, Peng Y, Wang K, Duan S, Yang X, Wen W (2018) Three dimensional lightweight lattice structures with large positive, zero and negative thermal expansion. Compos Struct 188:287–296 Li Y, Chen Y, Li T, Cao S, Wang L (2018) Hoberman-sphere-inspired lattice metamaterials with tunable negative thermal expansion. Compos Struct 189:586–597 Oddone V, Wimpory RC, Reich S (2019) Understanding the negative thermal expansion in planar graphite-metal composites. J Mater Sci 54:1267–1274 Gatt R, Caruana-Gauci R, Grima JN (2013) Negative linear compressibility: Giant response. Nat Mater 12:182–183 Magos-Palasyuk E, Fijalkowski KJ, Palasyuk T (2016) Chemically driven negative linear compressibility in sodium amidoborane, Na(NH2BH3). Sci Rep 6:28745 Lim TC (2017) 2D structures exhibiting negative area compressibility. Phys Status Solidi B 254:1600682 Caruana-Gauci R, Degabriele EP, Attard D, Grima JN (2018) Auxetic metamaterials inspired from wine-rack. J Mater Sci 53:5079–5091 Feng G, Zhang WX, Dong L, Li W, Cai W, Wei W, Ji L, Lin Z, Lu P (2019) Negative area compressibility of a hydrogen-bonded two-dimensional material. Chem Sci 10:1309–1315 Degabriele EP, Attard D, Grima-Cornish JN, Caruana-Gauci R, Gatt R, Evans KE, Grima JN (2019) On the compressibility properties of the wine-rack-like carbon allotropes and related poly(phenylacetylene) systems. Phys Status Solidi B 256:1800572 Lim TC (2018) A negative hygroscopic expansion material. Mater Sci Forum 928:277–282 Lim TC (2019) A reinforced kite-shaped microstructure with negative linear and area hygrothermal expansions. Key Eng Mater 803:272–277 Lim TC (2019) Negative environmental expansion for interconnected array of rings and sliding rods. Phys Status Solidi B 256:1800032 Lim TC (2019) Composite microstructures with Poisson’s ratio sign switching upon stress reversal. Compos Struct 209:34–44 Lim TC (2019) Metamaterials with Poisson’s ratio sign toggling by means of microstructural duality. SN Appl Sci 1:176 Lim TC (2019) A composite metamaterial with sign switchable elastic and hygrothermal properties induced by stress direction and environmental change reversals. Compos Struct 220:185–193 Lim TC (2019) A 2D auxetikos system based on interconnected shurikens. SN Appl Sci 1:1383 Lim TC (2019) 2D metamaterial with in-plane positive and negative thermal expansion and thermal shearing based on interconnected alternating bimaterials. Mater Res Express 6:115804 Lim TC (2019) A class of shape-shifting composite metamaterial honeycomb structures with thermally-adaptive Poisson’s ratio signs. Compos Struct 226:111256 Lim TC (2019) Composite metamaterial with sign-switchable coefficients of hygroscopic, thermal and pressure expansions. Adv Compos Hybrid Mater 2:657–669 Lim TC (2020) Metacomposite with auxetic and in situ sign reversible thermal expansivity upon temperature fluctuation. Compos Commun 19:30–36 Rafsanjani A, Pasini D (2016) Bistable auxetic mechanical metamaterials inspired by ancient geometric motifs. Extreme Mech Lett 9:291–216 Timoshenko SP (1925) Analysis of bi-metal thermostats. J Opt Soc Am 11:233–235 Adams DF, Monib MM (1980) Moisture expansion and thermal expansion coefficients of a polymer-matrix composite material. In: Lenoe EM, Oplinger DW, Burke JJ (eds) Fibrous composites in structural design. Plenum Press, New York, pp 819–830 Adamson MJ (1980) Thermal expansion and swelling of cured epoxy resin used in graphite/epoxy composite materials. J Mater Sci 15:1736–1745 Cairns DS, Adams DF (1984) Moisture and thermal expansion properties of unidirectional composite materials and the epoxy matrix. In: Springer GS (ed) Environmental effects on composite materials, 2nd edn. Technomic Publishing Company, Lancaster, pp 300–325 Weitsman YJ (2000) Effects of fluids on polymeric composites−a review. In: Kelly A, Zweben C (eds) Comprehensive composite materials, 2nd edn. Elsevier, Amsterdam, pp 369–401 Wikipedia—Thermal expansion https://en.wikipedia.org/wiki/Thermal_expansion#Coefficient_of_thermal_expansion. Accessed Feb 24, 2020 Wikipedia—Young’s modulus https://en.wikipedia.org/wiki/Young%27s_modulus Accessed Feb 24, 2020 Wikipedia—Elastic properties of the elements (data page) https://en.wikipedia.org/wiki/Elastic_properties_of_the_elements_(data_page) Accessed Feb 24, 2020