Negative Poisson's ratio materials: names- auxetic, anti-rubber, dilational
Names of these materials
Materials with a negative Poisson's ratio (R. S. Lakes, Science 1987 [1]; have been called anti-rubber [2], dilational materials [3], or auxetic materials. These materials are also called auxetics. The name anti-rubber (New York Times, 1987) arises from the fact that negative Poisson's ratio materials become fatter in cross section when stretched. By contrast rubber becomes thinner. So, auxetic is the opposite of rubbery.
The name dilational arises from the fact that solids with negative Poisson's ratio easily undergo volume changes. By contrast, rubbery materials easily undergo shape changes (shear deformation) but they are much stiffer in relation to volume changes. The distinction is shown in a map adapted from G. Milton. The name auxetic, or auxetics, after Evans and co-workers (1991) in the U.K. [4], is derived from the root word for growth, alluding to the lateral expansion which occurs under tension. The 1991 paper that introduced this term provided a proposal for achieving such effects at the molecular scale via a two dimensional model resembling the bow tie structure of negative Poisson's ratio honeycomb. As for early experiments by this group, highly anisotropic expanded porous polytetrafluoroethylene was found to exhibit a negative Poisson's ratio [5]. More recently the terms metamaterial and architected material have been used for materials with complex designed structure.
Description
Novel materials are presented, which exhibit a negative Poisson's ratio. Such a material expands laterally when stretched, in contrast to ordinary
materials. The original negative Poisson's ratio foam was developed by Rod Lakes.
Foam materials with a negative Poisson's ratio as small as n = -0.7 were developed [1] in which an inverted or re-entrant cell structure was achieved by isotropic permanent volumetric compression of a conventional foam, resulting in microbuckling of the cell ribs. The cause of the negative Poisson's ratio is non-affine deformation.
In a conceptual advance [3], laminate structures were presented by Milton . These laminates give rise to intentional negative Poisson's ratios combined with mechanical isotropy in two dimensions or in three dimensions [3]. These laminates have structure on several levels of scale; they are hierarchical. By appropriate choice of constituent properties one can achieve Poisson's ratios approaching the lower limit of -1. The laminate Poisson's ratio is close to the rigorous lower bound which is independent of the microstructure, therefore it will not be possible to find microstructures with much lower Poisson's ratio for given constituent stiffnesses
Review articles on auxetic or dilational materials are given by Lakes in [6] and by Evans and Alderson in [7].
A more recent review article is as follows.
Greaves, G. N., Greer, A. L., Lakes, R. S., and Rouxel, T., "Poisson's Ratio and Modern Materials", Nature Materials, 10, 823-837 Nov. (2011).
In comparing a material's resistance to distort under mechanical load rather than alter in volume, Poisson's ratio offers the fundamental metric by which to compare the performance of any material when strained elastically. The numerical limits are set by 1/2 and -1, between which all stable isotropic materials are found. With new experiments, computational methods and routes to materials synthesis, we assess what Poisson's ratio means in the contemporary understanding of the mechanical characteristics of modern materials. Central to these recent advances, we emphasize the significance of relationships outside the elastic limit between Poisson's ratio and densification, connectivity, ductility and the toughness of solids; and their association with the dynamic properties of the liquids from which they were condensed and into which they melt. get pdf.
References
[1] R. S. Lakes, "Foam structures with a negative Poisson's ratio", Science , 235 1038-1040, 1987
[2] J. Glieck, The New York Times, 14 April 1987.
[3] G. Milton, "Composite materials with Poisson's ratios close to -1", J. Mech. Phys. Solids, 40, 1105-1137, 1992
[4] K. E. Evans, M. A Nkansah, I. J. Hutchinson, S. C. Rogers, "Molecular network design", Nature 353, 124, 1991.
[5] B. D. Caddock, and K. E. Evans, "Microporous materials with negative Poisson's ratio: I. Microstructure and mechanical properties", J. Phys. D., Appl. Phys. , 22, 1877-1882, 1989.
[6] R. S. Lakes, "Advances in negative Poisson's ratio materials", Advanced Materials (Weinheim, Germany), 5, 293-296, 1993.
[7] K. E. Evans and A. Alderson, "Auxetic materials: functional materials and structures from lateral thinking", Advanced Materials (Weinheim, Germany), 12, 617-628, 2000.
More references, negative Poisson's ratio or auxetics, 1985-2005, top recent.
Yet more references auxetic materials with a negative Poisson's ratio (auxetic), 2005-2012.
Physica Status Solidi (b), special issue on negative Poisson's ratio, Volume 242, Issue 3, Pages 487-763 (March 2005). There are other such special issues.
Selected titles
Rapid Research Letter
High-energy vibrational modes in nitrogen-doped ZnO (p R21-R23) U. Haboeck, A. Hoffmann, C. Thomsen, A. Zeuner, B. K. Meyer
The asymmetry of the lobe contrasts in two-beam TEM as a test to obtain the Burgers vector of an inclined relaxing dislocation (p R24-R26) Chokri Hadj Belgacem, Abdelaziz Ati, Roland Bonnet
Experimental evidence for magnetic resonance in the antiferro-quadrupole phase (p R27-R29) S. V. Demishev, A. V. Semeno, Yu. B. Paderno, N. Yu. Shitsevalova, N. E. Sluchanko
Low temperature ultrasonic investigation of ZnSe crystals doped with Ni (p R30-R32) Vladimir Gudkov, Alexander Lonchakov, Victor Sokolov, Irina Zhevstovskikh, Nikita Gruzdev
Searching for auxetics with DYNA3D and ParaDyn (p 487) Wm. G. Hoover, C. G. Hoover
Martin Stutzmann: Editor, Teacher, Scientist and Friend (p 493-494) Manuel Cardona
New Regional Editor in the USA (p 495)
Preface: phys. stat. sol. (b) 242/3 (p 497)
Krzysztof W. Wojciechowski, Andrew Alderson, Arkadiusz Braka, Kim L. Alderson
Quantitative analysis of the microscale of auxetic foams (p 550-560) N. Gaspar, C. W. Smith, E. A. Miller, G. T. Seidler, K. E. Evans
Auxetic behaviour from rotating rigid units (p 561-575) J. N. Grima, A. Alderson, K. E. Evans
Searching for auxetics with DYNA3D and ParaDyn (p 585-594) Wm. G. Hoover, C. G. Hoover
Thermal expansion and contraction of polymer thin films (p 595-606) T. Kanaya, T. Miyazaki, R. Inoue, K. Nishida
Molecular dynamics study of the high-temperature elasticity of SiO2 polymorphs: Structural phase transition and elastic anomaly (p 607-620) Hajime Kimizuka, Hideo Kaburaki
Structural changes in amorphous Fe41Ni40Zr7B12 alloy under heat treatment (p 621-625) S. Kostyrya, Z. niadecki, B. Idzikowski
Poisson's ratio of degenerate crystalline phases of three-dimensional hard dimers and hard cyclic trimers (p 626-631) M. Kowalik, K. W. Wojciechowski
Simulation of a superconducting granular system on a honeycomb structure (p 632-636) G. Mancini, R. Natali
Al-based systems with unusual mechanical and transport properties (p 637-644) K. Müllerová, J. Kovácik, F. Simancík, P. vec
Extreme viscoelastic properties of composites of strongly inhomogeneous structures due to negative stiffness phases (p 645-652) V. V. Novikov, K. W. Wojciechowski
Expanding the range of auxetic polymeric products using a novel melt-spinning route (p 653-664) N. Ravirala, A. Alderson, K. L. Alderson, P. J. Davies
Directional and band-gap behavior of periodic auxetic lattices (p 665-680) M. Ruzzene, F. Scarpa
Auxetic compliant flexible PU foams: static and dynamic properties (p 681-694) F. Scarpa, P. Pastorino, A. Garelli, S. Patsias, M. Ruzzene
Global and local linear buckling behavior of a chiral cellular structure (p 695-709) A. Spadoni, M. Ruzzene, F. Scarpa
Auxetic behaviour: appearance and engineering applications (p 710-720) G. E. Stavroulakis
Stereographic projections of Poisson's ratio in auxetic crystals (p 721-729) S. P. Tokmakova
Monte Carlo simulation of two-dimensional hard body systems with extreme values of the Poisson's ratio (p 730-741) K. V. Tretiakov, K. W. Wojciechowski
Design of auxetic polymer self-assemblies (p 742-748) Gaoyuan Wei
Liquids at negative pressure (p 749-761) C. Xiao, D. M. Heyes, J. G. Powles
Editorial Note
Gallium nitride nanowires with a metal initiated metal-organic chemical vapor deposition (MOCVD) approach [phys. stat. sol. (b) 241, 2775 (2004)] (p 763) Sang-Kwon Lee, Heon-Jin Choi, Peter Pauzauskie, Peidong Yang, Nam-Kyu Cho, Hyo-Derk Park, Eun-Kyung Suh, Kee-Young Lim, Hyung-Jae Lee
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Static and high constant strain rate loading on auxetic and conventional PU foam. Scarpa, F. ; Cannas, A.; Yates, J.R. Journal of Advanced Materials, v 37, n 3, July 2005, p 11-14
Investigation of high and negative Poisson's ratio laminates, Peel, Larry D.
International SAMPE Symposium and Exhibition (Proceedings), v 50, SAMPE 05: New Horizons for Materials and Processing Technologies - Conference Proceedings, 2005, p 821-834
Vibration damping of fiber-reinforced polyurethane using high and negative poisson's ratio laminates, Keshavamurthy, Deepak ; Hossakere, Krishna Murthy; Peel, Larry D.
International SAMPE Symposium and Exhibition (Proceedings), v 50, SAMPE 05: New Horizons for Materials and Processing Technologies - Conference Proceedings, 2005, p 873-887
Auxetic strains - Insight from iso-auxetic materials, Blumenfeld, R.
Molecular Simulation, v 31, n 13, Nov 1, 2005, p 867-871
Dynamic simulations of potentially auxetic liquid-crystalline polymers incorporating swivelling mesogens
Aldred, P. ; Moratti, S.C.
Molecular Simulation, v 31, n 13, Nov 1, 2005, p 883-887
Modelling of the mechanical and mass transport properties of auxetic molecular sieves: An idealised inorganic (zeolitic) host-guest system
Alderson, A. ; Davies, P.J.; Evans, K.E.; Alderson, K.L.; Grima, J.N.
Molecular Simulation, v 31, n 13, Nov 1, 2005, p 889-896
Modelling of the mechanical and mass transport properties of auxetic molecular sieves: An idealised organic (polymeric honeycomb) host-guest system
Alderson, A. ; Davies, P.J.; Williams, M.R.; Evans, K.E.; Alderson, K.L.; Grima, J.N.
Molecular Simulation, v 31, n 13, Nov 1, 2005, p 897-905
Modelling of auxetic networked polymers built from calix[4]arene building blocks
Grima, J.N. ; Williams, J.J.; Gatt, R.; Evans, K.E.
Molecular Simulation, v 31, n 13, Nov 1, 2005, p 907-913
Empirical modelling using dummy atoms (EMUDA): An alternative approach for studying "auxetic" structures
Grima, J.N. ; Gatt, R.; Bray, T.G.C.; Alderson, A.; Evans, K.E.
Molecular Simulation, v 31, n 13, Nov 1, 2005, p 915-924
On the potential of connected stars as auxetic systems Grima, J.N. ; Gatt, R.; Alderson, A.; Evans, K.E.
Molecular Simulation, v 31, n 13, Nov 1, 2005, p 925-935
Expanding the range of auxetic polymeric products using a novel melt-spinning route Ravirala, N. ; Alderson, A.; Alderson, K.L.; Davies, P.J.
Physica Status Solidi B, v 242, n 3, March 2005, p 653-64
Mechanical performance of auxetic polyurethane foam for antivibration glove applications Scarpa, F. ; Giacomin, J.; Zhang, Y.; Pastorino, P.
Cellular Polymers, v 24, n 5, 2005, p 253-268
Modelling the deformation mechanisms, structure-property relationships and applications of auxetic nanomaterials
Alderson, A. ; Alderson, K.L.; Evans, K.E.; Grima, J.N.; Williams, M.R.; Davies, P.J.
Physica Status Solidi B, v 242, n 3, March 2005, p 499-508
How to make auxetic fibre reinforced composites Alderson, K.L. ; Simkins, V.R.; Coenen, V.L.; Davies, P.J.; Alderson, A.; Evans, K.E.
Physica Status Solidi B, v 242, n 3, March 2005, p 509-18
Quantitative analysis of the microscale of auxetic foams Gaspar, N. ; Smith, C.W.; Miller, E.A.; Seidler, G.T.; Evans, K.E.
Physica Status Solidi B, v 242, n 3, March 2005, p 550-60
Auxetic behaviour from rotating rigid units Grima, J.N. ; Alderson, A.; Evans, K.E.
Physica Status Solidi B, v 242, n 3, March 2005, p 561-75
Toward molecular auxetics: main chain liquid crystalline polymers consisting of laterally attached para-quaterphenyls He, C. ; Liu, P.; McMullan, P.J.; Griffin, A.C.
Physica Status Solidi B, v 242, n 3, March 2005, p 576-84
An alternative explanation for the negative Poisson's ratios in auxetic foams Grima, J.N. ; Alderson, A.; Evans, K.E.
Journal of the Physical Society of Japan, v 74, n 4, April 2005, p 1341-2
Negative poisson's ratios in anisotropic linear elastic media Ting, T.C.T.
Journal of Applied Mechanics, Transactions ASME, v 72, n 6,
November, 2005, p 929-931
Constant strain-rate compression test of a fluid-saturated poroelastic sample with positive or negative Poisson's ratio. Sawaguchi, H.; Kurashige, M.
Acta Mechanica, v 179, n 3-4, November, 2005, p 145-156
On the origin of auxetic behaviour in the silicate a-cristobalite. Grima, Joseph N.; Gatt, Ruben; Alderson, Andrew; Evans, Kenneth E.
Journal of Materials Chemistry, v 15, n 37, Oct 7, 2005, p 4003-4005
Composites with inclusions of negative bulk modulus: Extreme damping and negative poisson's ratio, Wang, Y.C.; Lakes, R.S.
Journal of Composite Materials, v 39, n 18, 2005, p 1645-1657
Expanding materials and applications: Exploiting auxetic textiles. Andy; Alderson, Kim
Technical Textiles International, v 14, n 6, September, 2005, p 29-34
Single fibre pullout tests on auxetic polymeric fibres Simkins, V.R. ; Alderson, A.; Davies, P.J.; Alderson, K.L.
Journal of Materials Science, v 40, n 16, August, 2005, p 4355-4364
High-pressure elasticity and auxetic property of a-cristobalite. Kimizuka, Hajime
Materials Transactions, v 46, n 6, June, 2005, p 1161-1166
Polyurethane foam with a negative Poisson's ratio for diabetic shoes. Park, K.O.; Choi, J.B.; Lee, S.J.; Choi, H.H.;
Kim, J.K.
Key Engineering Materials, v 288-289, 2005, p 677-80
Design of an artificial intervertebral disc exhibiting a negative poisson's ratio. Martz, Erik O.; Lakes, Roderic S.; Goel, Vijay K.; Park, Joon B.
Cellular Polymers, v 24, n 3, 2005, p 127-138
Metamaterial and auxetic hybrid composite antennas. Gupta, N.; Gupta, K.M.
2005 IEEE International Workshop on Antenna Technology: Small Antennas and Novel Metamaterials, 2005, p 414-17
Auxetic polypropylene films. Ravirala, N.; Alderson, A.; Alderson, K.L.; Davies, P.J.
Polymer Engineering and Science, v 45, n 4, April, 2005, p 517-528
Novel fabrication route for auxetic polyethylene. Part 1. Processing and microstructure. Alderson, K.L.; Kettle, A.P.; Evans, K.E.
Polymer Engineering and Science, v 45, n 4, April, 2005, p 568-578
Mandel and Cryer problems of fluid-saturated foams with negative Poisson's ratio. Kurashige, M.; Sato, K.; Imai, K.
Acta Mechanica, v 175, n 1-4, March, 2005, p 25-43
Novel honeycombs with auxetic behaviour. Gaspar, N.; Ren, X.J.; Smith, C.W.; Grima, J.N.; Evans, K.E.
Acta Materialia, v 53, n 8, May, 2005, p 2439-2445
Modelling of negative poisson's ratio nanomaterials: Deformation mechanisms, structure-property relationships and applications.
Alderson, A.; Alderson, K.L.; Evans, K.E.; Grima, J.N.; Williams, M.
Journal of Metastable and Nanocrystalline Materials, v 23, 2005,
p 55-58
Elastic model of an entangled network of interconnected fibres accounting for negative Poisson ratio behaviour and random triangulation. Delannay, Francis
International Journal of Solids and Structures, v 42, n 8,
April, 2005, p 2265-2285
Passive and MR fluid-coated auxetic PU foam - Mechanical, acoustic, and electromagnetic properties. Scarpa, F. (Multidomain Cell. Solids Laboratory, Department of Mechanical Engineering, University of Sheffield); Smith, F.C. Journal of Intelligent Material Systems and Structures, v 15, n 12, December, 2004, p 973-979
An overview of worldwide developments in smart textiles.
Sastry, U.R.B. (Hochschule Nierderrhein, Monchengladbach, Germany) Technical Textiles International, June 2004, p 31-5
Tensile properties of magnetostrictive iron-gallium alloys.
Kellogg, R.A. (Sandia National Laboratories, Department of Aerospace Engineering, Iowa State University); Russell, A.M.; Lograsso, T.A.; Flatau, A.B.; Clark, A.E.; Wun-Fogle, M. Acta Materialia, v 52, n 17, Oct 4, 2004, p 5043-5050
Directions of auxeticity for monoclinic crystals.
Rovati, Marco (Department of Mechanical Engineering, University of Trente) Scripta Materialia, v 51, n 11, November, 2004, p 1087-1091
Regular network of contacting cylinders with implications for materials with negative poisson ratios.
Pikhitsa, Peter V. (Natl. CRI Ctr. Nano Particle Contr., Inst. of Adv. Machinery and Design, Seoul National University) Physical Review Letters, v 93, n 1, Jul 2, 2004, p 015505-1-015505-4
On auxetic materials.
Yang, Wei (Coll. of Poly. Sci. and Engineering, Sichuan University, Stt. Key Lab. of Poly. Mat. Eng.); Li, Zhong-Ming; Shi, Wei; Xie, Bang-Hu; Yang, Ming-Bo Journal of Materials Science, v 39, n 10, May 15, 2004, p 3269-3279
Finite elements computation for the elastic properties of a regular stacking of hollow spheres.
Gasser, S. (LTPCM/INPG, Domaine Universitaire de Grenoble); Paun, F.; Brechet, Y. Materials Science and Engineering A, v 379, n 1-2, Aug 15, 2004, p 240-244
A study of negative Poisson's ratios in auxetic honeycombs based on a large deflection model.
Wan, Hui (Department of Mechanical Engineering, Faculty of Engineering, Saitama University); Ohtaki, Hideyuki; Kotosaka, Shinya; Hu, Guoming European Journal of Mechanics, A/Solids, v 23, n 1, January/February, 2004, p 95-106
Trends in acoustic properties of iron particle seeded auxetic polyurethane foam.
Scarpa, F. (Multidomain Cell. Solids Laboratory, Department of Mechanical Engineering, University of Sheffield); Bullough, W.A.; Lumley, P. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, v 218, n 2, February, 2004, p 241-244
Dynamic properties of high structural integrity auxetic open cell foam.
Scarpa, F. (Department of Mechanical Engineering, University of Sheffield); Ciffo, L.G.; Yates, J.R. Smart Materials and Structures, v 13, n 1, February, 2004, p 49-56
The design, matching and manufacture of auxetic carbon fibre laminates.
Evans, K.E. (Centre for Mat. Res. and Innovation, Bolton Institute); Donoghue, J.P.; Alderson, K.L. Journal of Composite Materials, v 38, n 2, 2004, p 95-106
Design of honeycomb-like composites for electromagnetic and structural applications
Smith, F.C. (Department of Engineering, University of Hull); Scarpa, F. IEE Proceedings: Science, Measurement and Technology, v 151, n 1, January, 2004, p 9-15
Elastic model of an entangled network of interconnected fibres accounting for negative Poisson ratio behaviour and random triangulation
Delannay, Francis (Dept. Sci. des Mat. et des Procedes, PCIM, Univ. Catholique de Louvain) International Journal of Solids and Structures, v 42, n 8, April, 2005, p 2265-2285
Lattice anomaly of MgB (h-BN) and related compounds under various compression conditions
Kobayashi, Kazuaki (Compl. Materials Science Center, Natl. Inst. for Materials Science); Arai, Masao Molecular Simulation, v 30, n 13-15, Nov 15, 2004, p 981-986
Acoustic characterization of the elastic properties of austenite phase and martensitic transformations in CuAlNi shape memory alloy
Cernoch, T. (Institute of Physics, Acad. of Sci. of the Czech Republic); Landa, M.; Novak, V.; Sedlak, P.; Sittner, P. Journal of Alloys and Compounds, v 378, n 1-2, Sep 22, 2004, p 140-144
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Wu HM, Wei GY
Molecular design of new kinds of auxetic polymers and networks
CHINESE JOURNAL OF POLYMER SCIENCE 22 (4): 355-362 AUG 2004
Wu HM, Wei GY
Molecular design of several types of self-assembly auxetic networks
ACTA POLYMERICA SINICA (2): 201-207 APR 2004
Yang X, Yang MB, Li ZM, et al.
The negative poisson's ratio effect of polyolefin blends
ACTA POLYMERICA SINICA (2): 221-224 APR 2003
Wojciechowski KW, Non-chiral, molecular model of negative Poisson ratio in two dimensions
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 36 (47): 11765-11778 NOV 28 2003
Lim, TC
Constitutive relationship of a material with unconventional Poisson's ratio
J MATER SCI LETT22 (24): 1783-1786 DEC 15 2003
Gaspar, N, Smith, CW, Evans, KE
Effect of heterogeneity on the elastic properties of auxetic materials
J APPL PHYS94 (9): 6143-6149 NOV 1 2003
Ruzzene, M, Scarpa, F
Control of wave propagation in sandwich beams with auxetic core
J INTEL MAT SYST Str14 (7): 443-453 JUL 2003
Wojciechowski, KW
Remarks on "Poisson ratio beyond the limits of the elasticity theory"
J PHYS SOC JPN72 (7): 1819-1820 JUL 2003
Ruzzene, M, Scarpa, F, Soranna, F
Wave beaming effects in two-dimensional cellular structures
SMART MATER StrUCT12 (3): 363-372 JUN 2003
Pleskachevskii, YM, Shil'ko, SV, Chernous, DA
Structural modeling in the mechanics of porous materials
MECH COMPOS MATER39 (2): 129-136 MAR-APR 2003
Whitty, JPM, Alderson, A, Myler, P, et al.
Towards the design of sandwich panel composites with enhanced mechanical and thermal properties by variation of the in-plane Poisson's ratios
COMPOS PART A-APPL S34 (6): 525-534 2003
Ruzzene, M, Mazzarella, L, Tsopelas, P, et al.
Wave propagation in sandwich plates with periodic auxetic core
J INTEL MAT SYST Str13 (9): 587-597 SEP 2002
Wojciechowski, KW, Tretiakov, KV, Kowalik, M
Elastic properties of dense solid phases of hard cyclic pentamers and heptamers in two dimensions
PHYS REV E 67 (3): - Part 2 MAR 2003
Scarpa, F, Smith, FC, Chambers, B, et al.
Mechanical and electromagnetic behaviour of auxetic honeycomb structures
AERONAUT J 107 (1069): 175-183 MAR 2003
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On the negative Poisson's ratio of an orthorhombic alloy
SCRIPTA MATER 48 (3): 235-240 FEB 3 2003
Scarpa, F, Yates, JR, Ciffo, LG, et al.
Dynamic crushing of auxetic open-cell polyurethane foam
P I MECH ENG C-J MEC 216 (12): 1153-1156 2002
Huang, FY, Yan, BH, Yang, DU
The effects of material constants on the micropolar elastic honeycomb structure with negative Poisson's ratio using the finite element method
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Yang, DU, Lee, S, Huang, FY
Geometric effects on micropolar elastic honeycomb structure with negative Poisson's ratio using the finite element method
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Functionally graded beam for attaining Poisson-curving
J MATER SCI LETT 21 (24): 1899-1901 DEC 15 2002
Alderson, KL, Alderson, A, Smart, G, et al.
Auxetic polypropylene fibres Part 1 - Manufacture and characterisation
PLAST RUBBER COMPOS 31 (8): 344-349 2002
Alderson, A, Evans, KE
Molecular origin of auxetic behavior in tetrahedral framework silicates
PHYS REV LETT 89 (22): - NOV 25 2002
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Material structure for attaining pure Poisson-shearing
J MATER SCI LETT 21 (20): 1595-1597 OCT 15 2002
Wang, YC, Lakes, R
Analytical parametric analysis of the contact problem of human buttocks and negative Poisson's ratio foam cushions
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Modelling the effects of density variations on the in-plane Poisson's ratios and Young's moduli of periodic conventional and re-entrant honeycombs - Part 1: Rib thickness variations
CELL POLYM21 (2): 69-98 2002
Flavin, J, Gleeson, B
Pointwise and other decay estimates for an isotropic elastic strip
J ELASTICITY64 (2-3): 191-197 2001
Wang, YC, Lakes, R, Butenhoff, A
Influence of cell size on re-entrant transformation of negative Poisson's ratio reticulated polyurethane foams
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Developing a new processing route to manufacture honeycomb ceramics with negative Poisson's ratio
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Alderson, A, Evans, KE
Rotation and dilation deformation mechanisms for auxetic behaviour in the alpha-cristobalite tetrahedral framework structure
PHYS CHEM MINER 28 (10): 711-718 NOV 2001
Brandel, B, Lakes, RS
Negative Poisson's ratio polyethylene foams
J MATER SCI 36 (24): 5885-5893 2001
Rasburn, J, Mullarkey, PG, Evans, KE, et al.
Auxetic structures for variable permeability systems
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Bowick, M, Cacciuto, A, Thorleifsson, G, et al.
Universal negative Poisson ratio of self-avoiding fixed-connectivity membranes
PHYS REV LETT 87 (14): - OCT 1 2001
Lakes, RS, Lee, T, Bersie, A, et al.
Extreme damping in composite materials with negative-stiffness inclusions
NATURE 410 (6828): 565-567 MAR 29 2001
Arias, F, Kenis, PJA, Xu, B, et al.
Fabrication and characterization of microscale sandwich beams
J MATER RES16 (2): 597-605 FEB 2001
Grima, JN, Jackson, R, Alderson, A, et al.
Do zeolites have negative Poisson's ratios?
ADV MATER 12 (24): 1912-+ DEC 15 2000
Matsuoka, T, Yamamoto, S, Takahara, M
Prediction of structures and mechanical properties of composites using a genetic algorithm and finite element method
J MATER SCI 36 (1): 27-33 JAN 2001
Smith, FC, Scarpa, F, Chambers, B
The electromagnetic properties of re-entrant dielectric honeycombs
IEEE MICROW GUIDED W10 (11): 451-453 NOV 2000
Smith, CW, Grima, JN, Evans, KE
A novel mechanism for generating auxetic behaviour in reticulated foams: Missing rib foam model
ACTA MATER 48 (17): 4349-4356 NOV 8 2000
Scarpa, F, Panayiotou, P, Tomlinson, G
Numerical and experimental uniaxial loading on in-plane auxetic honeycombs
J STRAIN ANAL ENG 35 (5): 383-388 SEP 2000
Scarpa, F, Tomlin, PJ
On the transverse shear modulus of negative Poisson's ratio honeycomb structures
FATIGUE FRACT ENG M23 (8): 717-720 AUG 2000
Webber, RS, Alderson, KL, Evans, KE
Novel variations in the microstructure of the auxetic microporous ultra-high molecular weight polyethylene. Part 1: Processing and microstructure
POLYM ENG SCI40 (8): 1894-1905 AUG 2000
Alderson, KL, Webber, RS, Evans, KE
Novel variations in the microstructure of auxetic ultra-high molecular weight polyethylene. Part 2: Mechanical properties
POLYM ENG SCI40 (8): 1906-1914 AUG 2000
Ishibashi, Y, Iwata, M
A microscopic model of a negative Poisson's ratio in some crystals
J PHYS SOC JPN69 (8): 2702-2703 AUG 2000
Grima, JN, Evans, KE
Auxetic behavior from rotating squares
J MATER SCI LETT19 (17): 1563-1565 SEP 2000
Grima, JN, Evans, KE
Self expanding molecular networks
CHEM COMMUN(16): 1531-1532 2000
Alderson, KL, Fitzgerald, A, Evans, KE
The strain dependent indentation resilience of auxetic microporous polyethylene
J MATER SCI35 (16): 4039-4047 AUG 2000
Lowe, A, Lakes, RS
Negative Poisson's ratio foam as seat cushion material
CELL POLYM19 (3): 157-167 2000
Evans, KE, Alderson, A
Auxetic materials: Functional materials and structures from lateral thinking!
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Wang, Y, Cuitino, AM
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COMPOS STRUCT 35 (4): 403-422 AUG 1996
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MODELING THE MECHANICAL-PROPERTIES OF AN AUXETIC MOLECULAR NETWORK
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SYNTHESIS AND CHARACTERIZATION OF LANTHANIDE(III) PERCHLORATE COMPLEXES OF 4[(N-4-DIMETHYLAMINOBENZALIDENE)AMINO]ANTIPYRINE
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INDENTABILITY OF CONVENTIONAL AND NEGATIVE POISSONS RATIO FOAMS
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MODELING THE EFFECTS OF NEGATIVE POISSONS RATIOS IN CONTINUOUS-FIBER COMPOSITES
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LAKES, R
ADVANCES IN NEGATIVE POISSONS RATIO MATERIALS
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SAINT-VENANT END EFFECTS FOR MATERIALS WITH NEGATIVE POISSONS RATIOS
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CHOI, JB, LAKES, RS
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CHOI, JB, LAKES, RS
NONLINEAR PROPERTIES OF POLYMER CELLULAR MATERIALS WITH A NEGATIVE POISSON RATIO
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YEGANEHHAERI, A, WEIDNER, DJ, PARISE, JB
ELASTICITY OF ALPHA-CRISTOBALITE - A SILICON DIOXIDE WITH A NEGATIVE POISSONS RATIO
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MILTON, GW
COMPOSITE-MATERIALS WITH POISSON RATIOS CLOSE TO -1
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SHERBOURNE, AN, PANDEY, MD
EFFECTS OF INPLANE RESTRAINTS ON THE STABILITY OF LAMINATED COMPOSITE PLATES
COMPOS STRUCT 20 (2): 73-81 1992
EVANS, KE
AUXETIC POLYMERS - A NEW RANGE OF MATERIALS
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ROTHENBURG, L, BERLIN, AA, BATHURST, RJ
MICROSTRUCTURE OF ISOTROPIC MATERIALS WITH NEGATIVE POISSON RATIO
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CHEN, CP, LAKES, RS
HOLOGRAPHIC STUDY OF CONVENTIONAL AND NEGATIVE POISSON RATIO metaLLIC FOAMS - ELASTICITY, YIELD AND MICRO-DEFORMATION
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CHOI, JB, LAKES, RS
DESIGN OF A FASTENER BASED ON NEGATIVE POISSONS RATIO FOAM
CELL POLYM 10 (3): 205-212 1991
LAKES, R
DEFORMATION MECHANISMS IN NEGATIVE POISSON RATIO MATERIALS - STRUCTURAL ASPECTS
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Lakes, R. Experimental micro mechanics methods for conventional and negative Poisson's ratio cellular solids as Cosserat continua Transactions of the ASME. Journal of Engineering Materials and Technology. Jan. 1991; 113(1): 148 55
Hirotsu, S. Softening of bulk modulus and negative Poisson's ratio near the volume phase transition of polymer gels Journal of Chemical Physics. 1 March 1991; 94(5): 3949 57
Warren, T. L. Negative Poisson's ratio in a transversely isotropic foam structure
Journal of Applied Physics. 15 June 1990; 67(12): 7591 4
Evans, K. E.; Caddock, B. D. Microporous materials with negative Poisson's ratios. II. Mechanisms and interpretation
Journal of Physics D Applied Physics. 14 Dec. 1989; 22(12): 1883 7
Caddock, B. D.; Evans, K. E. Microporous materials with negative Poisson's ratios. I. Microstructure and mechanical properties
Journal of Physics D Applied Physics. 14 Dec. 1989; 22(12): 1877 82
Lipsett, A. W.; Beltzer, A. I. Reexamination of dynamic problems of elasticity for negative Poisson's ratio
Journal of the Acoustical Society of America. Dec. 1988; 84(6): 2179 86
Friis, E. A.; Lakes, R. S.; Park, J. B. Negative Poisson's ratio polymeric and metallic foams
Journal of Materials Science. Dec. 1988; 23(12): 4406 14
Bordia, R. K.; Scherer, G. W. On constrained sintering. II. Comparison of constitutive models
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Bathurst, R. J.; Rothenburg, L. Note on a random isotropic granular material with negative Poisson's ratio
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Lakes, R. S., Foam structures with a negative Poisson's ratio,
Science 27 Feb. 1987; 235(4792): 1038 - 40
A novel foam structure is presented, which exhibits a negative Poisson's ratio. Such a material expands laterally when stretched, in contrast to ordinary materials.
Almgren, R. F. An isotropic three dimensional structure with Poisson's ratio = - 1
Journal of Elasticity. 1985; 15(4): 427-30
This presents a plan for a structure of rods, hinges, and springs
The elasticity book by Love adduces a report of iron pyrites single crystal. Single crystals are anisotropic. They can attain negative Poisson's ratio via coupling with anisotropic deformation.
Yet more references on auxetic materials with a negative Poisson's ratio, 2005-2012.
