Mechanical properties of 3D auxetic structure: Emergence of transverse isotropy

Lin, 2020, 4D printing of personalized shape memory polymer vascular stents with negative poisson's ratio structure: a preliminary study, Sci China Technol Sci, 63, 578, 10.1007/s11431-019-1468-2 Li, 2022, Bionic polycellular structures for axial compression, Int J Mech Sci, 226, 10.1016/j.ijmecsci.2022.107428 Li, 2022, Axial compression performance of a bamboo-inspired porous lattice structure, Thin Walled Struct, 180, 10.1016/j.tws.2022.109803 Gibson, 1982, The mechanics of two-dimensional cellular materials, Proc R Soc Lond Math Phys Sci, 382, 25 Almgren, 1985, An isotropic three-dimensional structure with Poisson's ratio= −1, J Elast, 15, 427, 10.1007/BF00042531 Kolpakov, 1985, The determination of averaged characteristics for elastic skeletons, Prikl Mat Mekh, 49, 969 Wojciechowski, 1987, Constant thermodynamic tension Monte Carlo studies of elastic properties of a two-dimensional system of hard cyclic hexamers, Mol Phys, 61, 1247, 10.1080/00268978700101761 Lakes, 1987, Foam structures with a negative Poisson's ratio, SCI, 235, 1038, 10.1126/science.235.4792.1038 Caddock, 1989, Microporous materials with negative Poisson's ratios. I. Microstructure and mechanical properties, J Phys D Appl Phys, 22, 1877, 10.1088/0022-3727/22/12/012 Yin, 2022, Review on lattice structures for energy absorption properties, Compos Struct Ai, 2018, An analytical model for star-shaped re-entrant lattice structures with the orthotropic symmetry and negative Poisson's ratios, Int J Mech Sci, 145, 158, 10.1016/j.ijmecsci.2018.06.027 Grima, 2005, On the potential of connected stars as auxetic systems, Mol Simul, 31, 925, 10.1080/08927020500401139 Carneiro, 2016, Analysis of the geometrical dependence of auxetic behavior in reentrant structures by finite elements, Acta Mech Sin, 32, 295, 10.1007/s10409-015-0534-2 Liu, 2022, Design 3D improved star-shaped honeycomb with different tip angles from 2D analytical star-shaped model, Compos Struct, 283, 10.1016/j.compstruct.2021.115154 Masters, 1996, Models for the elastic deformation of honeycombs, Compos Struct, 35, 403, 10.1016/S0263-8223(96)00054-2 Wang, 2019, Systematic design of tetra-petals auxetic structures with stiffness constraint, Mater Des, 170, 10.1016/j.matdes.2019.107669 Alderson, 2010, Elastic constants of 3-, 4-and 6-connected chiral and anti-chiral honeycombs subject to uniaxial in-plane loading, Compos Sci Technol, 7, 1042, 10.1016/j.compscitech.2009.07.009 Zhu, 2021, Novel isotropic anti-tri-missing rib auxetics with prescribed in-plane mechanical properties over large deformations, Int J Appl Mech, 13, 10.1142/S1758825121501155 Zhao, 2021, Analysis of small-scale topology and macroscale mechanical properties of shape memory chiral-lattice metamaterials, Compos Struct, 262, 10.1016/j.compstruct.2021.113569 Mizzi, 2018, Mechanical metamaterials with star-shaped pores exhibiting negative and zero Poisson's ratio, Mater Des, 146, 28, 10.1016/j.matdes.2018.02.051 Mrozek, 2022, Numerical analysis of dynamic properties of an auxetic structure with rotating squares with holes, Mater,, 15, 8712, 10.3390/ma15248712 Lim, 2017, Analogies across auxetic models based on deformation mechanism, Phys Status Solidi RRL Rapid Res Lett,, 11 Lim, 2020 Zhang, 2020, Large deformation and energy absorption of additively manufactured auxetic materials and structures: a review, Compos Part B Eng, 201, 10.1016/j.compositesb.2020.108340 Li, 2020, Enhancing indentation and impact resistance in auxetic composite materials, Compos Part B Eng, 198, 10.1016/j.compositesb.2020.108229 Chen, 2017, Lattice metamaterials with mechanically tunable Poisson's ratio for vibration control, Phys Rev Appl, 7, 10.1103/PhysRevApplied.7.024012 Teng, 2022, A simple 3D re-entrant auxetic metamaterial with enhanced energy absorption, Int J Mech Sci, 229, 10.1016/j.ijmecsci.2022.107524 Zhang, 2022, A lightweight rotationally arranged auxetic structure with excellent energy absorption performance, Mech Mater, 166, 10.1016/j.mechmat.2022.104244 Zhu, 2018, Auxetic hexachiral structures with wavy ligaments for large elasto-plastic deformation, Smart Mater Struct, 27, 10.1088/1361-665X/aab33d Duncan, 2018, Review of auxetic materials for sports applications: expanding options in comfort and protection, Appl Sci, 8, 941, 10.3390/app8060941 Mardling, 2020, CL. The use of auxetic materials in tissue engineering, Biomater Sci, 8, 2074, 10.1039/C9BM01928F Luo, 2021, Design, manufacturing and applications of auxetic tubular structures: a review, Thin Walled Struct, 163, 10.1016/j.tws.2021.107682 Zhang, 2021, A novel buckling-restrained brace with auxetic perforated core: experimental and numerical studies, Eng Struct, 249, 10.1016/j.engstruct.2021.113223 Ren, 2018, Auxetic metamaterials and structures: a review, Smart Mater Struct, 27, 10.1088/1361-665X/aaa61c Tancogne-Dejean, 2018, 3D plate-lattices: an emerging class of low-density metamaterial exhibiting optimal isotropic stiffness, Adv Mater, 30 Yang, 2019, Mechanical properties of 3D double-U auxetic structures, Int J Solids Struct, 180, 13, 10.1016/j.ijsolstr.2019.07.007 Wang, 2020, Study on tensile mechanical behavior of X-type re-entrant honeycomb structure, J Mech Strength, 42, 896 Zhang, 2021, In-plane mechanical behavior of novel auxetic hybrid metamaterials, Thin Walled Struct, 159, 10.1016/j.tws.2020.107191 Zhang, 2022, Novel 2D arc-star-shaped structure with tunable Poisson's ratio and its 3D configurations, Mater Today Commun, 30 Han, 2022, Lightweight auxetic metamaterials: design and characteristic study, Compos Struct, 293, 10.1016/j.compstruct.2022.115706 Wang, 2019, Systematic design of tetra-petals auxetic structures with stiffness constraint, Mater Des, 170, 10.1016/j.matdes.2019.107669 Strek, 2017, Finite element analysis of the influence of the covering auxetic layer of plate on the contact pressure, Phys Status Solidi B, 254, 10.1002/pssb.201700103 Sarvestani, 2021, Engineered bi-material lattices with thermo-mechanical programmability, Compos Struct, 263 Han, 2022, Multi-material topology optimization and additive manufacturing for metamaterials incorporating double negative indexes of Poisson's ratio and thermal expansion, Addit Manuf, 54 Wang, 2020, Rotation spring: rotation symmetric compression-torsion conversion structure with high space utilization, Compos Struct, 245, 10.1016/j.compstruct.2020.112341 Wang, 2021, Compression-torsion conversion behavior of a cylindrical mechanical metamaterial based on askew re-entrant cells, Mater Lett, 303, 10.1016/j.matlet.2021.130572 Xu, 2022, 3D chiral metamaterial modular design with highly-tunable tension-twisting properties, Mater Today Commun, 30 Evans, 1992, Modeling negative Poisson ratio effects in network-embedded composites, Acta Metall Et Mater, 40, 2463, 10.1016/0956-7151(92)90164-A Lakes, 2017, Negative-Poisson's-ratio materials: auxetic solids, Annu Rev Mater Res, 47, 63, 10.1146/annurev-matsci-070616-124118 Li, 2016, A bi-material structure with Poisson's ratio tunable from positive to negative via temperature control, Mater Lett, 181, 285, 10.1016/j.matlet.2016.06.054 Grima, 2013, Smart metamaterials with tunable auxetic and other properties, Smart Mater Struct, 22, 10.1088/0964-1726/22/8/084016 Lim, 2019, 2D metamaterial with in-plane positive and negative thermal expansion and thermal shearing based on interconnected alternating bimaterials, Mater Res Express, 6, 10.1088/2053-1591/ab4846 Milton, 1992, Composite materials with Poisson's ratios close to -1, J Mech Phys Solids, 40, 1105, 10.1016/0022-5096(92)90063-8 Jopek, 2015, Thermal and structural dependence of auxetic properties of composite materials, Phys Status Solidi B, 252, 1551, 10.1002/pssb.201552192 Jopek, 2018, Thermoauxetic behavior of composite structures, Mater, 11, 294, 10.3390/ma11020294 Wang, 2017, Mechanical properties of 3D re-entrant auxetic cellular structures, Int J Mech Sci, 131, 396, 10.1016/j.ijmecsci.2017.05.048 Wang, 2020, Mechanical analysis of the circular curve honeycomb core with negative Poisson′s ratio, J Yunnan Univ Nat Sci Ed, 42, 1159 Yan, 2012, Negative Poisson's ratio honeycomb structure and its applications in structure design of morphing aircraft, Chin J Mech Eng, 23, 542 Lu, 2014, Research on non-linear equivalent elastic modulus of Negative Poisson's ratio honeycomb core layer, Chin J Mech Eng, 25, 1540 Peng, 2021, Tunable tension–compression asymmetry and auxeticity in lattice structures by harnessing unilateral contact, Compos Struct, 278, 10.1016/j.compstruct.2021.114708 Rad, 2014, Analytical solution and finite element approach to the 3D re-entrant structures of auxetic materials, Mech Mater, 74, 76, 10.1016/j.mechmat.2014.03.012 Yang, 2015, Mechanical properties of 3D re-entrant honeycomb auxetic structures realized via additive manufacturing, Int J Solids Struct, 69, 475, 10.1016/j.ijsolstr.2015.05.005 Lu, 2016, Novel structure with negative Poisson's ratio and enhanced Young's modulus, Compos Struct, 138, 243, 10.1016/j.compstruct.2015.11.036 Ghavidelnia, 2021, Idealized 3D auxetic mechanical metamaterial: an analytical, numerical, and experimental study, Mater, 14, 993, 10.3390/ma14040993 Safikhani Nasim, 2017, Analysis of effective parameters of auxetic composite structure made with multilayer orthogonal reinforcement by finite element method, Modares Mech Eng, 17, 247 Shoja-Senobar, 2021, An analytical investigation of elastic–plastic behaviors of 3D warp and woof auxetic structures, Int J Mech Mater In Des, 17, 545, 10.1007/s10999-021-09546-w Shen, 2022, Elastic properties of an additive manufactured three-dimensional vertex-based hierarchical re-entrant structure, Mater Des,, 216, 10.1016/j.matdes.2022.110527 Soyarslan, 2019, Tunable auxeticity and elastomechanical symmetry in a class of very low density core-shell cubic crystals, Acta Mater, 177, 280, 10.1016/j.actamat.2019.07.015 Li, 2018, Exploiting negative Poisson's ratio to design 3D-printed composites with enhanced mechanical properties, Mater Des, 142, 247, 10.1016/j.matdes.2018.01.034 Peng, 2021, A novel hybrid-honeycomb structure: enhanced stiffness, tunable auxeticity and negative thermal expansion, Int J Mech Sci, 190, 10.1016/j.ijmecsci.2020.106021 Albertini, 2019, Computational investigation of the effective mechanical behavior for 3D pre-buckled auxetic lattices, J Appl Mech, 86, 10.1115/1.4044542 Chen, 2019, A simple equivalent method for orthogonal assembling three-dimensional composite structures elastic parameters, Smart Mater Struct, 28, 10.1088/1361-665X/ab230e Cabras, 2016, A class of auxetic three-dimensional lattices, J Mech Phys Solids, 91, 56, 10.1016/j.jmps.2016.02.010 Xu, 2016, Design of lattice structures with controlled anisotropy, Mater Des, 93, 443, 10.1016/j.matdes.2016.01.007 Ren, 2015, Experiments and parametric studies on 3D metallic auxetic metamaterials with tuneable mechanical properties, Smart Mater Struct, 24, 10.1088/0964-1726/24/9/095016 Dudek, 2020, The multidirectional auxeticity and negative linear compressibility of a 3D mechanical metamaterial, Mater, 13, 2193, 10.3390/ma13092193 Su, 2021, A 3D mechanism-driven hexagonal metamaterial: evaluation of auxetic behavior, Int J Mech Sci, 209, 10.1016/j.ijmecsci.2021.106699 Carta, 2016, Design of a porous material with isotropic negative Poisson's ratio, Mech Mater, 97, 67, 10.1016/j.mechmat.2016.02.012 Peng, 2021, A design method for metamaterials: 3D transversely isotropic lattice structures with tunable auxeticity, Smart Mater Struct, 31 Lim, 2016, A 3D auxetic material based on intersecting double arrowheads, Phys Status Solidi B, 253, 1452, 10.1002/pssb.201670546 Czarnecki, 2015, The emergence of auxetic material as a result of optimal isotropic design, Phys Status Solidi B, 252, 1620, 10.1002/pssb.201451733 Hou, 2012, A novel concept to develop composite structures with isotropic negative Poisson's ratio: effects of random inclusions, Compos Sci Technol, 72, 1848, 10.1016/j.compscitech.2012.07.020 Shan, 2015, Design of planar isotropic negative Poisson's ratio structures, Extrem Mech Lett, 4, 96, 10.1016/j.eml.2015.05.002 Shufrin, 2012, Planar isotropic structures with negative Poisson's ratio, Int J Solids Struct, 49, 2239, 10.1016/j.ijsolstr.2012.04.022 Wang, 2022, Electromechanical behavior of 3-3 piezoelectric star-shaped metamaterial with four types of connection, Mech Syst Signal Process, 170, 10.1016/j.ymssp.2022.108825 Khan, 2019, Piezoelectric metamaterial with negative and zero Poisson's ratios, Am Soc Civ Eng, 145