A comparative study of the pliability of 2D auxetic architectonic structures by means of CAD

Ma Dolores Álvarez Elipe

doi:10.18282/ice.v7i1.609

Ma Dolores Álvarez Elipe Department of Aesthetics and Theory of the Arts, King Juan Carlos University, 28300 Aranjuez (Madrid), Spain

Ariticle ID: 609

202 Views, 84 PDF Downloads

DOI: https://doi.org/10.18282/ice.v7i1.609

Keywords: auxetic; architecture; geometries; patterns; growth

Abstract

Auxetic materials are a special type of materials that have a negative Poisson’s ratio (NPR): they get wider when they are stretched and they get narrower when they are compressed. In this paper a comparative study of 2D patterns of auxetic geometries, carried out by means of computer-aided design, is presented. The study consists of the development of a CAD library of auxetic geometries to apply them to architecture. The geometric behavior of the eighteen auxetic 2D patterns is tested from the developed library in order to develop a systematic comparison, analyzing relevant properties of these geometries, such as maximum achievable area reductions in relation with the total length of the bars of the structure, in order to obtain a growth factor.

References

Lakes R. Foam Structures with a Negative Poisson’s Ratio. Science. 1987; 235(4792): 1038-1040. doi: 10.1126/science.235.4792.1038

Evans KE. Auxetic polymers: a new range of materials. Endeavour. 1991; 15: 170-174.

He C, Liu P, McMullan PJ, et al. Toward molecular auxetics: Main chain liquid crystalline polymers consisting of laterally attached para‐quaterphenyls. Physica Status Solidi (b). 2005; 242(3): 576-584. doi: 10.1002/pssb.200460393

Liu Y, Hu H. A review on auxetic structures and polymeric materials. Scientific Research and Essays. 2010; 5: 1052-1063.

Álvarez Elipe JC, Díaz Lantada A. Comparative study of auxetic geometries by means of computer-aided design and engineering. Smart Materials and Structures. 2012; 21(10): 105004. doi: 10.1088/0964-1726/21/10/105004

Griffin AC, Kumar S, Mc Mullan PJ. Textile fibers engineered from molecular auxetic polymers. National Textile Center Research Briefs–Materials Competency. 2005; 1-2.

Bianchi M, Scarpa F, Smith CW. Shape memory behaviour in auxetic foams: Mechanical properties. Acta Materialia. 2010; 58(3): 858-865. doi: 10.1016/j.actamat.2009.09.063

Friis EA, Lakes RS, Park JB. Negative Poisson’s ratio polymeric and metallic foams. Journal of Materials Science. 1988; 23(12): 4406-4414. doi: 10.1007/bf00551939

Tan TW, Douglas GR, Bond T, et al. Compliance and Longitudinal Strain of Cardiovascular Stents: Influence of Cell Geometry. Journal of Medical Devices. 2011; 5(4). doi: 10.1115/1.4005226

Scarpa F, Jacobs S, Coconnier C, et al. Auxetic shape memory alloy cellular structures for deployable satellite antennas: design, manufacture and testing. EPJ Web of Conferences. 2010; 6: 27001. doi: 10.1051/epjconf/20100627001

Zhong J, Zhao C, Liu Y, et al. Meta-materials of Re-entrant Negative Poisson’s Ratio Structures Made from Fiber-Reinforced Plastics: A Short Review. Fibers and Polymers. 2024; 25(2): 395-406. doi: 10.1007/s12221-023-00455-7

Liu Y, Zhao C, Xu C, et al. Auxetic meta-materials and their engineering applications: a review. Engineering Research Express. 2023; 5(4): 042003. doi: 10.1088/2631-8695/ad0eb1

Fuller RB. Building construction. US Patent 2682235. Available online: https://patents.google.com/patent/US2682235A/en (accessed on 12 January 2024).

Rodríguez N. Design of a transformable structure by deformation of a flat mesh in its application to a quick-assembly shelter (Spanish) [PhD thesis]. Universitat Politècnica de Catalunya. Departament de Construccions Arquitectòniques; 2005.

Pérez E. Reticular structures. L’Architecture de Aujourd’hui. 1968; 141: 76-81.

Calatrava S. On the foldability of structures (Spanish) [PhD thesis]. Escuela Politécnica Federal de Zúrich (Suiza); 1981.

Ilyashenko AV, Kuznetsov SV. Longitudinal Pochhammer—Chree Waves in Mild Auxetics and Non-Auxetics. Journal of Mechanics. 2019; 35(3): 327-334. doi: 10.1017/jmech.2018.13

Mehta V, Frecker M, Lesieutre G. Contact aided compliant mechanisms for morphing aircraft skin. In: Proceedings of SPIE - The International Society for Optical Engineering.

Mehta V, Frecker M, Lesieutre GA. Stress Relief in Contact-Aided Compliant Cellular Mechanisms. Journal of Mechanical Design. 2009; 131(9). doi: 10.1115/1.3165778

Goldstein RV, Gorodtsov VA, Lisovenko DS. Anomalous elastic behaviour of micro and nanowhiskers with a cubic atomic structure. In: Ishlinsky Institute for Problems in Mechanics RAS—Teaching material. Moscow: Russian Academy of Sciences; 2010.

Wei H, Wu G. An approximation method for simulating temperature dependence of Poisson’s ratios of self-expanding auxegens. Comput. Methods Science Technology. 2004; 10: 1-6.

Grima JN, Gatt R, Alderson A, et al. On the potential of connected stars as auxetic systems. Molecular Simulation. 2005; 31(13): 925-935. doi: 10.1080/08927020500401139

Ugbolue SC, Kim YK, Warner SB, et al. (2011). Auxetic fabric structures and related fabrication methods. US Patent Specification 2011/0046715 A1, 8 July 2014.

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(2): 99-106. doi: 10.1109/84.585787

Aldred P, Moratti SC. Dynamic simulations of potentially auxetic liquid-crystalline polymers incorporating swivelling mesogens. Molecular Simulation. 2005; 31(13): 883-887. doi: 10.1080/08927020500415584

Dirrenberger J, Forest S, Jeulin D, et al. Homogenization of periodic auxetic materials. Procedia Engineering. 2011; 10: 1847-1852. doi: 10.1016/j.proeng.2011.04.307