Stability of elastic material with negative stiffness and negative Poisson's ratio

Keywords

Stiffness, Poisson's ratio, Shear modulus, Materials science, Context (archaeology)

References

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• Foundations Of Elasticity TheoryC. Truesdell — 1966
• Homogenization and effective moduli of materials and mediaJ. L. Ericksen, David Kinderlehrer, Robert V. Kohn — 1986
• Extreme damping in composite materials with negative-stiffness inclusionsRoderic S. Lakes, T. Lee, A. Bersie — 2001
• Theory of Elastic StabilityS. Timoshenko — 1936
• Methods of analytical dynamicsL. Meirovitch — 1970
• Constant thermodynamic tension Monte Carlo studies of elastic properties of a two-dimensional system of hard cyclic hexamersKrzysztof W. Wojciechowski — 1987
• Composites with Inclusions of Negative Bulk Modulus: Extreme Damping and Negative Poisson’s RatioYun‐Che Wang, Roderic S. Lakes — 2005
• Two-dimensional isotropic system with a negative poisson ratioKrzysztof W. Wojciechowski — 1989
• Phase Transitions in Ferroelastic and Co-Elastic CrystalsCh. Zülicke — 1992
• Critical behavior of an Ising model on a cubic compressible latticeDavid J. Bergman, B. I. Halperin — 1976
• Extreme damping in compliant composites with a negative-stiffness phaseRoderic S. Lakes — 2001
• The fabrication of microporous polyethylene having a negative Poisson's ratioK. L. Alderson, K. E. Evans — 1992
• Uniqueness in general boundary-value problems for elastic or inelastic solidsR. Hill — 1961
• Topics in Finite Elasticity: Hyperelasticity of Rubber, Elastomers, and Biological Tissues—With ExamplesMillard F. Beatty — 1987
• Theory of Elasticity (3rd ed.)S. Timoshenko, J. N. Goodier, H. N. Abramson — 1970
• Composite materials with poisson's ratios close to — 1Graeme W. Milton — 1992
• Advances in negative Poisson's ratio materialsRoderic S. Lakes — 1993
• On strong ellipticity and the Legendre-Hadamard conditionYi -Chao Chen — 1991
• Foam Structures with a Negative Poisson's RatioRoderic S. Lakes — 1987

Cited by

• Structural Design, Optimization and Application of 3D Re-entrant Auxetic Structures.Li Yang — 2011
• Modélisation et conception multi-échelles des matériaux : de la description atomique discrète aux modèles du continu. Application aux propriétés amortissantes des pare-brisesYao Koutsawa — 2008
• Metamaterials with Negative Poisson’s Ratio: A Review of Mechanical Properties and Deformation MechanismsXiaonan Hou, Vadim V. Silberschmidt — 2015
• Thermodynamics of unconventional thermoelastic damping in auxetic mediaBogdan Maruszewski, Andrzej Drzewiecki, R. Starosta — 2013
• Stability of viscoelastic continuum with negative‐stiffness inclusions in the low‐frequency rangeYun‐Che Wang, Chih‐Chin Ko — 2013
• Negative stiffness of a buckled carbon nanotube in composite systems via molecular dynamics simulationYun‐Che Wang, Chun‐Yi Wu, Qu‐Yuan Kuo — 2011
• Stress analysis of a two-phase composite having a negative-stiffness inclusion in two dimensionsYun‐Che Wang, Chi-Ching Ko — 2009
• CONCEPT AND MODELING OF A STATICALLY BALANCED COMPLIANT LAPAROSCOPIC GRASPERN. Tolou, Just L. Herder — 2009
• A Note on the Effect of Negative Poisson’s Ratio on the Deformation of a Poroelastic Half-Space by Surface LoadsSunita Rani, Raman Kumar, Sarva Jit Singh — 2010
• Stability and uniqueness in double porosity elasticityBrian Straughan — 2013
• Auxetic materials — A reviewV.H. Carneiro, José Meireles, H. Puga — 2013
• Anomalous effective viscoelastic, thermoelastic, dielectric, and piezoelectric properties of negative‐stiffness composites and their stabilityYun‐Che Wang, Chih‐Chin Ko, K.F. Chang — 2015
• A universal programmable fiber architecture for the representation of a general incompressible linearly elastic material as a fiber-reinforced fluidYoichiro Mori, Charles S. Peskin — 2009
• Preface: phys. stat. sol. (b) 245/3Christopher W. Smith, Krzysztof W. Wojciechowski — 2008
• Waves and uniqueness in multi-porosity elasticityBrian Straughan — 2016
• Evaluation of Optimized Topology Design of Cross-Formed Structures with a Negative Poisson’s RatioDongkyu Lee, Soomi Shin — 2016
• Enhancing buckling capacity of a rectangular plate under uniaxial compression by utilizing an auxetic materialYongcun Zhang, Xiaobin Li, Shutian Liu — 2016
• Auxetic nanomaterials: Recent progress and future developmentJin-Wu Jiang, Sung Youb Kim, Harold S. Park — 2016
• Dynamics of 1D mass–spring system with a negative stiffness spring realized by magnets: Theoretical and experimental studyAkintoye O. Oyelade, Ziwei Wang, Gengkai Hu — 2017
• Higher order topological derivatives for three-dimensional anisotropic elasticityMarc Bonnet, Rémi Cornaggia — 2017

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