Follow-on work, negative Poisson's ratio (anti-rubber, auxetic, dilational) materials

Materials with negative Poisson's ratios (anti-rubber, auxetic, dilational), selected titles

Rod Lakes, University of Wisconsin

Poisson main Original article Causal mechanisms Chirality Synthesis method Names Advances Structural hierarchy End effects Uses Fastener

Meaning of Poisson's ratio

Original publication, Lakes, R. S. " Foam structures with a negative Poisson's ratio", Science, 235 p. 1038-1040 (1987).

Follow-on work of general interest
Follow-on work by others in the area of materials with negative Poisson's ratios (also known as auxetic, dilational or anti rubber) worldwide includes many articles including the following in Science, in Nature and in other widely read journals. Poisson's ratio is also called Poisson ratio or the Poisson coefficient.

Burns, S. "Negative Poisson's ratio materials", Science, 238, 551 (1987).
Cherfas, J. "Stretching the point", Science , 247, 630 (1990).
Evans, K. E., Nkansah, M. A., Hutchinson, I. J., and Rogers, S. C., "Molecular network design", Nature , 353, 124 (1991).
Rothenburg, L., Berlin, A. A. and Bathurst, R.J., "Microstructure of isotropic materials with negative Poisson's ratio", Nature, 354, 470-472 (1991).
Haeri, A. Y., Weidner, D. J., and Parise, J. B., "Elasticity of alpha-cristobalite: a silicon dioxide with a negative Poisson's ratio", Science, 257, 650-652 (1992).
Keskar, N. and Chelikowsky, J. R., "Negative Poisson's ratios in crystalline SiO₂ from first-principles calculations". Nature, 358 , 222-225 (1992).
Baughman, R. H., and Galvao, D. S. "Crystalline networks with unusual predicted mechanical and thermal properties", Nature, 365, 735-737, (1993).
Gardner, G. B. Venkataraman, D, Moore, J. S., Lee, S. "Spontaneous assembly of a hinged coordination network" Nature 374: (6525) 792-795, Apr. 27, (1995).
Baughman, R. H., Shacklette, J. M., Zakhidov, A. A., Stafstrom, S., "Negative Poisson's ratios as a common feature of cubic metals", Nature 392: (6674) 362-365, Mar. 26, (1998).
Baughman, R. H., Dantas, S. O., Stafstrom, S., Zakhidov, A. A., Mitchell, T. B., Dubin, D. H. E. "Negative Poisson's ratios for extreme states of matter", Science 288: 2018-2022 , June (2000).
Hall, L. J., Coluci, V. R., Galvao, D. S., Koslov, M. E., Zhang, M., Dantas, S. O., Baughman, R. H., "Sign change of Poisson's ratio for carbon nanotube sheets", Science, 320, 504-507, (2008).

Other articles including survey pieces.
Lakes, R. S., "Negative Poisson's ratio materials", Science, 238 551 (1987). Download pdf or gif
Lakes, R. S., "No contractile obligations", Nature, 358, 713-714, (1992). pdf
Lakes, R. S., "Lateral Deformations in Extreme Matter", perspective, Science, 288, 1976, June (2000). pdf
Lakes, R. S., "A broader view of membranes", Nature, 414, 503-504, 29 Nov. (2001). pdf
Baughman, R. H., "Avoiding the shrink", Nature, 425, 667, 16 Oct. (2003).

Phys. Rev. Letters articles
Reentrant origami based metamaterials with negative Poisson's ratio and bistability, H. Yasuda and J. Yang, Phys. Rev. Lett. 114, 185502 (2015)
Negative Poisson's Ratio Materials via Isotropic Interactions, M. C. Rechtsman, F. H. Stillinger, and S. Torquato, Phys. Rev. Lett. 101, 085501 (2008)
Metamaterial with Simultaneously Negative Bulk Modulus and Mass Density, Y. Ding, Z. Liu, C. Qiu, and J. Shi, Phys. Rev. Lett. 99, 093904 (2007)
Effects of the Orientational Distribution of Cracks in Solids, S. Giordano and L. Colombo, Phys. Rev. Lett. 98, 055503 (2007)
Regular Network of Contacting Cylinders with Implications for Materials with Negative Poisson Ratios, P. V. Pikhitsa, Phys. Rev. Lett. 93, 015505 (2004)
Universal Elasticity and Fluctuations of Nematic Gels, X. Xing and L. Radzihovsky, Phys. Rev. Lett. 90, 168301 (2003)
Molecular Origin of Auxetic Behavior in Tetrahedral Framework Silicates, A. Alderson and K. E. Evans, Phys. Rev. Lett. 89, 225503 (2002)
Universal Negative Poisson Ratio of Self-Avoiding Fixed-Connectivity Membranes, M. Bowick, A. Cacciuto, G. Thorleifsson, and A. Travesset, Phys. Rev. Lett. 87, 148103 (2001)
Mechanism for Negative Poisson Ratios over the alpha-beta Transition of Cristobalite, SiO2: A Molecular-Dynamics Study H. Kimizuka, H. Kaburaki, and Y. Kogure, Phys. Rev. Lett. 84, 5548 (2000)
Lattice-Dynamical Study of the alpha-beta Phase Transition of Quartz: Soft-Mode Behavior and Elastic Anomalies, M. B. Smirnov and A. P. Mirgorodsky, Phys. Rev. Lett. 78, 2413 (1997)
"Martensitic" instability of an icosahedral quasicrystal, M. V. Jaric and U. Mohanty, Phys. Rev. Lett. 58, 230 (1987)

A detailed review, to 1993 is given in Lakes, R. S., "Advances in negative Poisson's ratio materials", Advanced Materials (Weinheim, Germany), 5, 393-296, (1993).

A subsequent review of auxetic materials is given by K. E. Evans and A. Alderson, "Auxetic materials: functional materials and structures from lateral thinking", Advanced Materials (Weinheim, Germany), 12, 617-628, (2000).

A subsequent review of auxetic materials is given by W. Yang, Z.-M. Li, W. Shi, B.-H. Xie, M.-B. Yang, "On auxetic materials", Journal of Materials Science 39 3269 - 3279, (2004).

A recent review article with materials science emphasis:
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). get pdf

Some further articles. This field of study has become too large to continue with updates.
Milton, G. "Composite materials with Poisson's ratios close to -1", J. Mech. Phys. Solids, 40, 1105-1137 (1992).
A chemist's view of applications. McGuire, N. K. "Composites of opposites", Today's chemist at work, American Chemical Society, p. 24-28, Nov. (2002) pdf from ACS, pdf from here.

Educational citations
Demonstration experiment on foam materials with a negative Poisson's ratio incorporated in
Ellis, A. B., Geselbracht, M. J., Johnson, B. J., Lisensky, G. C., and Robinson, W. R., Teaching General Chemistry, A Materials Science Companion, American Chemical Society, Washington, DC, 1993.
A full, albeit short, chapter on negative Poisson ratio in
Gould, P. L., Introduction to Linear Elasticity, 2nd Ed., Springer Verlag, 1994. Chapter 12, Something New.
A quote: "Occasionally new developments emerge, even in such a mature theory. ... The process is shown in Fig. 12.1, which may be the only fundamental development in the theory of elasticity reported in a newspaper article in quite a while."
Top

A related topic in reversal physics, negative refraction, some references
This was originally suggested by V. G. Veselago, "The electrodynamics of substances with simultaneously negative values of e and m", Sov. Phys. Uspekhi 10, 509-514 (1968).

A. N. Grigorenko, A. K. Geim, H. F. Gleeson, Y. Zhang, A. A. Firsov, I. Y. Khrushchev and J. Petrovic, "Nanofabricated media with negative permeability at visible frequencies", Nature 438, 335-338, 17 Nov. (2005).
N. Fang, H. Lee, C. Sun, X. Zhang, "Sub-diffraction limited optical imaging with a silver superlens" Science 308: 534-537, (2005).
S. Linden, C. Enkrich, M. Wegener, J. Zhou, T. Koschny, and C. M. Soukoulis, "Magnetic Response of Metamaterials at 100 Terahertz", Science 306: 1351-1353, (2004).
J. B. Pendry, "A Chiral Route to Negative Refraction" Science, 306: 1353-1355, (2004).
A. A. Houck, J. B. Brock, and I. L. Chuang, "Experimental Observations of a Left-Handed Material That Obeys Snell's Law", Phys. Rev. Lett. 90, 137401 (2003).
R. A. Shelby, D. R. Smith, and S. Schultz, "Experimental Verification of a Negative Index of Refraction" Science 292, 77 (2001).
J. B. Pendry, "Negative Refraction Makes a Perfect Lens" Phys. Rev. Lett. 85, 3966 (2000).
M. Notomi, "Theory of light propagation in strongly modulated photonic crystals: Refractionlike behavior in the vicinity of the photonic band gap" Phys. Rev. B 62, 10 696 (2000).
M. C. K. Wiltshire, J. B. Pendry, I. R. Young, D. J. Larkman, D. J. Gilderdale, and J. V. Hajnal, "Microstructured Magnetic Materials for RF Flux Guides in Magnetic Resonance Imaging" Science 291, 849 (2001).
R. J. Blaikie and S. J. McNab, Microelectron. Eng. 61-2, 97 (2002).
V. G. Veselago, Sov. Phys. Usp. 10, 509 (1968).
R. A. Shelby, D. R. Smith, S. C. Nemat-Nasser, and S. Schultz, "Microwave transmission through a two-dimensional, isotropic, left-handed metamaterial" Appl. Phys. Lett. 78, 489 (2000).
P. M. Valanju, R. M. Walser, and A. P. Valanju, "Wave Refraction in Negative-Index Media: Always Positive and Very Inhomogeneous" Phys. Rev. Lett. 88, 187401 (2002).
N. Garcia and M. Nieto-Verperinas, Opt. Lett. 27, 885 (2002).
N. Garcia and M. Nieto-Verperinas, "Left-Handed Materials Do Not Make a Perfect Lens" Phys. Rev. Lett. 88, 207403 (2002).
D. R. Smith, S. Schultz, P. Markos, and C. M. Soukoulis, Phys. Rev. B 65, 195103 (2002).
J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, "Extremely Low Frequency Plasmons in Metallic Mesostructures" Phys. Rev. Lett. 76, 4773 (1996).
D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, "Composite Medium with Simultaneously Negative Permeability and Permittivity" Phys. Rev. Lett. 84, 4184 (2000).
R. W. Ziolkowski and E. Heyman, "Wave propagation in media having negative permittivity and permeability" Phys. Rev. E 64, 056625 (2001).

More references, negative Poisson's ratio, 1985-2005, top recent.
Yet more references, 2005-2012

Physica Status Solidi (b), special issue on negative Poisson's ratio, Volume 242, Issue 3, Pages 487-763 (March 2005),
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

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 alpha-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 Alderson, 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 alpha-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

Aguirre-Tostado FS, Herrera-Gomez A, Woicik JC, et al. Elastic anomaly for SrTiO3 thin films grown on Si(001) PHYSICAL REVIEW B 70 (20): Art. No. 201403 NOV 2004

Elastic constants, internal friction, and piezoelectric coefficient of alpha -TeO/sub 2/ Ogi, H. (Graduate Sch. of Eng. Sci., Osaka Univ., Japan;); Fukunaga, M.; Hirao, M.; Ledbetter, H. Physical Review B (Condensed Matter and Materials Physics), v 69, n 2, 1 Jan. 2004, p 24104-1-8

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 Struc 12 (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

Rovati, M 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 ENG COMPUTATION19 (7-8): 742-763 2002

Yang, DU, Lee, S, Huang, FY Geometric effects on micropolar elastic honeycomb structure with negative Poisson's ratio using the finite element method FINITE ELEM ANAL DES39 (3): 187-205 JAN 2003

Lim, TC 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

Lim, TC 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 INT J SOLIDS StrUCT 39 (18): 4825-4838 SEP 2002

Whitty, JPM, Nazare, F, Alderson, A 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 CELL POLYM 20 (6): 373-385 2001

Huang, X, Blackburn, S Developing a new processing route to manufacture honeycomb ceramics with negative Poisson's ratio KEY ENG MAT 206-2: 201-204 2002

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 AICHE J47 (11): 2623-2626 NOV 2001

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

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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 Struc 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

K. W. Wojciechowski, K. V. Tretiakov, Determination of elastic constants by monte carlo simulations, Computational Methods in Science and Technology, vol 1, 25-29, 1996
The system exhibits negative Poisson's ratio in a range of isotropic tension (negative pressure)

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 AUX: 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

K. W. Wojciechowski, 'Negative Poisson ratio at negative pressure', Molecular Physics Reports 10, 129-136 (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

YEGANEH HAERI, 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

K. W. Wojciechowski, 'Two-dimensional isotropic systems with a negative Poisson ratio', Physics Letters A137, 60-64 (1989)

K. W. Wojciechowski and A. C. Branka, 'Negative Poisson ratio in a two-dimensional "isotropic" model', Physical Review A40, 7222-7225 (1989).

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

K. W. Wojciechowski, 'Constant thermodynamic tension Monte Carlo studies of elastic properties of a two-dimensional systems of hard cyclic hexamers', Molecular Physics 61, 1247-125 (1987).

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.

Some articles do not show up in search using "negative Poisson's ratio" or "auxetic".

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 following two articles discuss honeycombs, including those with inverted cells that give rise to a negative Poisson's ratio in the honeycomb plane. The out of plane Poisson's ratio is positive if the rib material has a positive value so honeycombs are highly anisotropic.

L. J. Gibson, M. F. Ashby, G. S. Schajer, and C. I. Robertson, "The mechanics of two dimensional cellular solids", Proc. Royal Society London, A382, 25-42 (1982).
A.G. Kolpakov, "On the determination of the averaged moduli of elastic gridworks", Prikl. Mat. Mekh 59, 969-977 (1985).

The following deals with an anisotropic composite.
C.T. Herakovich, "Composite laminates with negative through -the -thickness Poisson's ratio", J. Composite Materials, 18, 447-455 (1985).

Miura - Ori origami has recently become more widely known. Origami type folded structures can expand in-plane. The earliest reference I can find is as follows.
Miura, K., 1980, "Method of packaging and deployment of large membranes in space", Paper no IAF-80- A31, Proc. 31st IAF Congress, Tokyo.

The earliest known reference is in A. E. H. Love's book A Treatise on the Mathematical Theory of Elasticity originally published in 1927, on elasticity; single crystal iron pyrites, an anisotropic material that was thought to exhibit a negative Poisson's ratio in one or more directions.
This single crystal material has been studied more recently and in more detail. The possibility of a negative Poisson's ratio has been questioned. Positive Poisson's ratio was inferred from ultrasonic tests. See N. Benbattouche et al., The dependence of the elastic stiffness moduli and Poisson's ratio of natural iron pyrites FeS₂ upon temperature and pressure, Phys. D: Appl. Phys. 22 670-675 (1989). These authors state that anisotropic negative Poisson's ratio in some directions in this crystal had been suggested by Voigt W 1928 Lehrbuch der Kristallphysik (Leipzig: B G Teubner) p 741

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