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 further neologisms including the terms metamaterial and architected material have been used for materials with complex designed structure and unusual or extreme properties.
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
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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
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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
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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
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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!
ADV MATER12 (9): 617-+ MAY 3 2000
Wang, Y, Cuitino, AM
Three-dimensional nonlinear open-cell foams with large deformations
J MECH PHYS SOLIDS48 (5): 961-988 MAY 2000
Tomlinson, GR
Structural damping enhancement using a novel approach - a forward look
P I MECH ENG C-J MEC214 (1): 103-112 2000
Alderson, A, Rasburn, J, Ameer-Beg, S, et al.
An auxetic filter: A tuneable filter displaying enhanced size selectivity or defouling properties
IND ENG CHEM RES39 (3): 654-665 MAR 2000
Scarpa, F, Tomlinson, G
Theoretical characteristics of the vibration of sandwich plates with in-plane negative Poisson's ratio values
J SOUND VIB230 (1): 45-67 FEB 10 2000
Zhang, RG, Yeh, HL, Yeh, HY
A discussion of negative Poisson's ratio design for composites
J REINF PLAST COMP18 (17): 1546-1556 1999
Smith, CW, Wootton, RJ, Evans, KE
Interpretation of experimental data for Poisson's ratio of highly nonlinear materials
EXP MECH39 (4): 356-362 DEC 1999
Yeh, HL, Yeh, HY, Zhang, RG
A study of negative Poisson's ratio in randomly oriented quasi-isotropic composite laminates
J COMPOS MATER33 (19): 1843-1857 1999
Kang, DS, Mahajan, MP, Zhang, SY, et al.
Pretransitional behavior above the nematic-isotropic phase transition of an auxetic trimer liquid crystal
PHYS REV E60 (4): 4980-4982 Part B OCT 1999
Xu, B, Arias, F, Brittain, ST, et al.
Making negative Poisson's ratio microstructures by soft lithography
ADV MATER11 (14): 1186-1189 OCT 1 1999
Smith, CW, Lehman, F, Wootton, RJ, et al.
Strain dependent densification during indentation in auxetic foams
CELL POLYM18 (2): 79-101 1999
Alderson, A
A triumph of lateral thought
CHEM IND-LONDON(10): 384-+ MAY 17 1999
Alderson, KL, Alderson, A, Webber, RS, et al.
Evidence for uniaxial drawing in the fibrillated microstructure of auxetic microporous polymers
J MATER SCI LETT17 (16): 1415-1419 AUG 15 1998
Chan, N, Evans, KE
The mechanical properties of conventional and auxetic foams. Part I: Compression and tension
J CELL PLAST35 (2): 130-+ MAR-APR 1999
Chan, N, Evans, KE
The mechanical properties of conventional and auxetic foams. Part II: Shear
J CELL PLAST35 (2): 166-+ MAR-APR 1999
Wei, GY, Edwards, SF
Effective elastic properties of composites of ellipsoids (I). Nearly spherical inclusions
PHYSICA A264 (3-4): 388-403 MAR 1 1999
Wei, GY, Edwards, SF
Effective elastic properties of composites of ellipsoids (II). Nearly disk- and needle-like inclusions
PHYSICA A264 (3-4): 404-423 MAR 1 1999
Persad, C
Progress in materials for EML: Review and preview
IEEE T MAGN35 (1): 300-306 Part 1 JAN 1999
Zhang, RG, Yeh, HL, Yeh, HY
A preliminary study of negative Poisson's ratio of laminated fiber reinforced composites
J REINF PLAST COMP 17 (18): 1651-1664 1998
Wei, GY, Edwards, SF
Poisson ratio in composites of auxetics
PHYS REV E 58 (5): 6173-6181 Part B NOV 1998
Bungenstock, C, Troster, T, Holzapfel, WB, et al.
Study of the energy level scheme of Pr3+: LaOCl under pressure
J PHYS-CONDENS MAT 10 (41): 9329-9342 OCT 19 1998
Liu, PW, He, CB, Griffin, AC
Liquid crystalline polymers as potential auxetic materials: Influence of transverse rods on the polymer mesophase.
ABSTR PAP AM CHEM S 216: 364-POLY Part 3 AUG 23 1998
Booth, CJ, He, CB, Griffin, AC
Elastomeric nematic polyesters - Towards auxetic materials.
ABSTR PAP AM CHEM S 216: 363-POLY Part 3 AUG 23 1998
Wei, GY, Edwards, SF
Auxeticity windows for composites
PHYSICA A 258 (1-2): 5-10 SEP 1 1998
Overaker, DW, Cuitino, AM, Langrana, NA
Effects of morphology and orientation on the behavior of two-dimensional hexagonal foams and application in a re-entrant foam anchor model
MECH MATER 29 (1): 43-52 JUN 1998
Sigmund, O, Torquato, S, Aksay, IA
On the design of 1-3 piezocomposites using topology optimization
J MATER RES 13 (4): 1038-1048 APR 1998
Chan, N, Evans, KE
Indentation resilience of conventional and auxetic foams
J CELL PLAST 34 (3): 231-+ MAY-JUN 1998
Badawi, KF, Goudeau, P, Durand, N
Consistent interpretation of negative Poisson's ratio reported in metallic multilayers: Role of stress-free lattice parameter
EUR PHYS J-APPL PHYS 2 (1): 1-6 APR 1998
Theocaris, PS, Stavroulakis, GE
The homogenization method for the study of variation of Poisson's ratio in fiber composites
ARCH APPL MECH 68 (3-4): 281-295 APR 1998
Baughman, RH, Shacklette, JM, Zakhidov, AA, et al.
Negative Poisson's ratios as a common feature of cubic metals
NATURE 392 (6674): 362-365 MAR 26 1998
Theocaris, PS, Stavroulakis, GE
Multilevel optimal design of composite structures including materials with negative Poisson's ratio
STRUCT OPTIMIZATION 15 (1): 8-15 FEB 1998
Loureiro, MA, Lakes, RS
Scale-up of transformation of negative Poisson's ratio foam: Slabs
CELL POLYM 16 (5): 349-363 1997
Chan, N, Evans, KE
Fabrication methods for auxetic foams
J MATER SCI 32 (22): 5945-5953 NOV 15 1997
Chan, N, Evans, KE
Microscopic examination of the microstructure and deformation of conventional and auxetic foams
J MATER SCI 32 (21): 5725-5736 NOV 1 1997
Liu, P, He, C, Griffin, AC
Liquid crystalline polymers as potential auxetic materials
ABSTR PAP AM CHEM S 214: 85-POLY Part 2 SEP 7 1997
Alderson, KL, Alderson, A, Evans, KE
The interpretation of the strain-dependent Poisson's ratio in auxetic polyethylene
J STRAIN ANAL ENG 32 (3): 201-212 MAY 1997
Alderson, A, Evans, KE
Modelling concurrent deformation mechanisms in auxetic microporous polymers
J MATER SCI 32 (11): 2797-2809 JUN 1 1997
Larsen, UD, Sigmund, O, Bouwstra, S
Design and fabrication of compliant micromechanisms and structures with negative Poisson's ratio
J MICROELECTROMECH S 6 (2): 99-106 JUN 1997
Theocaris, PS, Stavroulakis, GE, Panagiotopoulos, PD
Negative Poisson's ratios in composites with star-shaped inclusions: A numerical homogenization approach
ARCH APPL MECH 67 (4): 274-286 APR 1997
Scharer, U, Wachter, P
Brillouin spectroscopy on doped SmS
PHYSICA B 230: 721-724 FEB 1997
Alderson, KL, Webber, RS, Mohammed, UF, et al.
An experimental study of ultrasonic attenuation in microporous polyethylene
APPL ACOUST 50 (1): 23-33 JAN 1997
Masters, IG, Evans, KE
Models for the elastic deformation of honeycombs
COMPOS STRUCT 35 (4): 403-422 AUG 1996
Choi, JB, Lakes, RS
Fracture toughness of re-entrant foam materials with a negative Poisson's ratio: Experiment and analysis
INT J FRACTURE 80 (1): 73-83 1996
Prall, D, Lakes, RS
Properties of a chiral honeycomb with a Poisson's ratio of -1.
INT J MECH SCI 39 (3): 305-& MAR 1997
Singh, B, Singh, PK
An aroylhydrazone as chelating agent: 4f Metal complexes of 2,6-diacetylpyridine bis(2-furoylhydrazone)
SYN REACT INORG MET 26 (10): 1621-1636 1996
Martz, EO, Lakes, RS, Park, JB
Hysteresis behaviour and specific damping capacity of negative Poisson's ratio foams
CELL POLYM 15 (5): 349-364 1996
Sigmund, O, Torquato, S
Composites with extremal thermal expansion coefficients
APPL PHYS LETT 69 (21): 3203-3205 NOV 18 1996
Martz, EO, Lee, T, Lakes, RS, et al.
Re-entrant transformation methods in closed cell foams
CELL POLYM 15 (4): 229-249 1996
Lee, JH, Choi, JB, Choi, K
Application of homogenization FEM analysis to regular and re-entrant honeycomb structures
J MATER SCI 31 (15): 4105-4110 AUG 1 1996
Chen, CP, Lakes, RS
Micromechanical analysis of dynamic behavior of conventional and negative Poisson's ratio foams
J ENG MATER-T ASME 118 (3): 285-288 JUL 1996
Pickles, AP, Alderson, KL, Evans, KE
The effects of powder morphology on the processing of auxetic polypropylene (PP of negative Poisson's ratio)
POLYM ENG SCI 36 (5): 636-642 MAR 1996
Guichard, B, Griffin, AC
Liquid crystalline polymers as potential auxetic materials.
ABSTR PAP AM CHEM S 211: 116-IEC Part 1 MAR 24 1996
BAKER, JB, DOUGLASS, AG, GRIFFIN, AC
TRIMERIC LIQUID-CRYSTALS - MODEL COMPOUNDS FOR AUXETIC POLYMERS
ABSTR PAP AM CHEM S 210: 146-POLY Part 2 AUG 20 1995
CADDOCK, BD, EVANS, KE
NEGATIVE POISSON RATIOS AND STRAIN-DEPENDENT MECHANICAL-PROPERTIES IN ARTERIAL PROSTHESES
BIOMATERIALS 16 (14): 1109-1115 SEP 1995
PICKLES, AP, WEBBER, RS, ALDERSON, KL, et al.
THE EFFECT OF THE PROCESSING PARAMETERS ON THE FAbrICATION OF AUXETIC POLYETHYLENE .1. THE EFFECT OF COMPACTION CONDITIONS
J MATER SCI 30 (16): 4059-4068 AUG 15 1995
ALDERSON, KL, KETTLE, AP, NEALE, PJ, et al.
THE EFFECT OF THE PROCESSING PARAMETERS ON THE FAbrICATION OF AUXETIC POLYETHYLENE .2. THE EFFECT OF SINTERING TEMPERATURE AND TIME
J MATER SCI 30 (16): 4069-4075 AUG 15 1995
NEALE, PJ, PICKLES, AP, ALDERSON, KL, et al.
THE EFFECT OF THE PROCESSING PARAMETERS ON THE FAbrICATION OF AUXETIC POLYETHYLENE .3. THE EFFECT OF EXTRUSION CONDITIONS
J MATER SCI 30 (16): 4087-4094 AUG 15 1995
EVANS, KE, ALDERSON, A, CHRISTIAN, FR
AUXETIC 2-DIMENSIONAL POLYMER NETWORKS - AN EXAMPLE OF TAILORING GEOMETRY FOR SPECIFIC MECHANICAL-PROPERTIES
J CHEM SOC FARADAY T 91 (16): 2671-2680 AUG 21 1995
ALDERSON, A, EVANS, KE
MICROSTRUCTURAL MODELING OF AUXETIC MICROPOROUS POLYMERS
J MATER SCI 30 (13): 3319-3332 JUL 1 1995
GARDNER, GB, VENKATARAMAN, D, MOORE, JS, et al.
SPONTANEOUS ASSEMBLY OF A HINGED COORDINATION NETWORK
NATURE 374 (6525): 792-795 APR 27 1995
CHOI, JB, LAKES, RS
ANALYSIS OF ELASTIC-MODULUS OF CONVENTIONAL FOAMS AND OF REENTRANT FOAM MATERIALS WITH A NEGATIVE POISSONS RATIO
INT J MECH SCI 37 (1): 51-59 JAN 1995
CHOI, JB, LAKES, RS
NONLINEAR-ANALYSIS OF THE POISSON RATIO OF NEGATIVE POISSON RATIO FOAMS
J COMPOS MATER 29 (1): 113-128 1995
PHANTHIEN, N, KARIHALOO, BL
MATERIALS WITH NEGATIVE POISSONS RATIO - A QUALITATIVE MICROSTRUCTURAL MODEL
J APPL MECH-T ASME 61 (4): 1001-1004 DEC 1994
HOWELL, B, PRENDERGAST, P, HANSEN, L
EXAMINATION OF ACOUSTIC BEHAVIOR OF NEGATIVE POISSONS RATIO MATERIALS
APPL ACOUST 43 (2): 141-148 1994
NKANSAH, MA, EVANS, KE, HUTCHINSON, IJ
MODELING THE MECHANICAL-PROPERTIES OF AN AUXETIC MOLECULAR NETWORK
MODEL SIMUL MATER SC 2 (3): 337-352 MAY 1994
ALDERSON, KL, PICKLES, AP, NEALE, PJ, et al.
AUXETIC POLYETHYLENE - THE EFFECT OF A NEGATIVE POISSON RATIO ON HARDNESS
ACTA metaLL MATER 42 (7): 2261-2266 JUL 1994
EVANS, KE, NKANSAH, MA, HUTCHINSON, IJ
AUXETIC FOAMS - MODELING NEGATIVE POISSONS RATIOS
ACTA metaLL MATER 42 (4): 1289-1294 APR 1994
AGARWAL, RK, SARIN, RK
SYNTHESIS AND CHARACTERIZATION OF LANTHANIDE(III) PERCHLORATE COMPLEXES OF 4[(N-4-DIMETHYLAMINOBENZALIDENE)AMINO]ANTIPYRINE
SYN REACT INORG MET 24 (2): 185-199 1994
BAUGHMAN, RH, GALVAO, DS
CRYSTALLINE NETWORKS WITH UNUSUAL PREDICTED MECHANICAL AND THERMAL-PROPERTIES
NATURE 365 (6448): 735-737 OCT 21 1993
CHEN, CP, LAKES, RS
VISCOELASTIC BEHAVIOR OF COMPOSITE-MATERIALS WITH CONVENTIONAL-POISSON-RATIO OR NEGATIVE-POISSON-RATIO FOAM AS ONE-PHASE
J MATER SCI 28 (16): 4288-4298 AUG 15 1993
LAKES, RS, ELMS, K
INDENTABILITY OF CONVENTIONAL AND NEGATIVE POISSONS RATIO FOAMS
J COMPOS MATER 27 (12): 1193-1202 1993
NKANSAH, MA, EVANS, KE, HUTCHINSON, IJ
MODELING THE EFFECTS OF NEGATIVE POISSONS RATIOS IN CONTINUOUS-FIBER COMPOSITES
J MATER SCI 28 (10): 2687-2692 MAY 15 1993
LAKES, R
ADVANCES IN NEGATIVE POISSONS RATIO MATERIALS
ADV MATER 5 (4): 293-296 APR 1993
LAKES, RS
SAINT-VENANT END EFFECTS FOR MATERIALS WITH NEGATIVE POISSONS RATIOS
J APPL MECH-T ASME 59 (4): 744-746 DEC 1992
EVANS, KE, ALDERSON, KL
THE STATIC AND DYNAMIC MODULI OF AUXETIC MICROPOROUS POLYETHYLENE
J MATER SCI LETT 11 (24): 1721-1724 DEC 15 1992
CHOI, JB, LAKES, RS
NONLINEAR PROPERTIES OF metaLLIC CELLULAR MATERIALS WITH A NEGATIVE POISSON RATIO
J MATER SCI 27 (19): 5375-5381 OCT 1 1992
CHOI, JB, LAKES, RS
NONLINEAR PROPERTIES OF POLYMER CELLULAR MATERIALS WITH A NEGATIVE POISSON RATIO
J MATER SCI 27 (17): 4678-4684 SEP 1 1992
YEGANEHHAERI, A, WEIDNER, DJ, PARISE, JB
ELASTICITY OF ALPHA-CRISTOBALITE - A SILICON DIOXIDE WITH A NEGATIVE POISSONS RATIO
SCIENCE 257 (5070): 650-652 JUL 31 1992
MILTON, GW
COMPOSITE-MATERIALS WITH POISSON RATIOS CLOSE TO -1
J MECH PHYS SOLIDS 40 (5): 1105-1137 JUL 1992
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
ENDEAVOUR 15 (4): 170-174 1991
ROTHENBURG, L, BERLIN, AA, BATHURST, RJ
MICROSTRUCTURE OF ISOTROPIC MATERIALS WITH NEGATIVE POISSON RATIO
NATURE 354 (6353): 470-472 DEC 12 1991
CHEN, CP, LAKES, RS
HOLOGRAPHIC STUDY OF CONVENTIONAL AND NEGATIVE POISSON RATIO metaLLIC FOAMS - ELASTICITY, YIELD AND MICRO-DEFORMATION
J MATER SCI 26 (20): 5397-5402 OCT 15 1991
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
J MATER SCI 26 (9): 2287-2292 MAY 1 1991
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
Acta Metallurgica. Sept. 1988; 36(9): 2399 409
Bathurst, R. J.; Rothenburg, L. Note on a random isotropic granular material with negative Poisson's ratio
International Journal of Engineering Science. 1988; 26(4): 373 83
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.
