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A Note on the Effect of Negative Poisson’s Ratio on the Deformation of a Poroelastic Half-Space by Surface Loads
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Abstract
The aim of this note is to study the effect of negative Poisson’s ratio on the quasi-static deformation of a poroelastic half-space with anisotropic permeability and compressible fluid and solid constituents by surface loads. Two particular cases considered are: two-dimensional normal strip loading and axisymmetric normal disc loading. It is found that a negative Poisson’s ratio makes the Mandel-Cryer effect more prominent. It also results in an increase in the magnitude of the surface settlement.
KeywordsAnisotropic PermeabilityAuxetic MaterialNegative Poisson’s RatioPoroelastic Half-SpaceQuasi-Static DeformationSurface Loading
- R. S. Lakes, “Foam Structures with a Negative Poisson’s Ratio,” Science, Vol. 235, No. 27, 1987, pp. 1038-1040.
- B. D. Caddock and K. E. Evans, “Microporous Materials with Negative Poisson’s Ratios: I. Microstructure and Mechanical Properties,” Journal of Physics D: Applied Physics, Vol. 22, No. 12, 1989, pp. 1877-1882.
- W. Yang, Z.-M. Li, W. Shi, B.-H. Xie and M.-B. Yang, “Review on Auxetic Materials,” Journal of Materials Science, Vol. 39, No. 10, 2004, pp. 3269-3279.
- A. W. Lipsett and A. I. Beltzer, “Reexamination of Dynamic Problems of Elasticity for Negative Poisson’s Ratio,” The Journal of the Acoustical Society of America, Vol. 84, No. 6, 1988, pp. 2179-2186.
- C. P. Chen and R. S. Lakes, “Dynamic Wave Dispersion and Loss Properties of Conventional and Negative Poisson’s Ratio Polymeric Cellular Materials,” Cellular Polymers, Vol. 8, No. 5, 1989, pp. 343-359.
- A. Freedman, “The Variation, with the Poisson’s Ratio, of Lamb Modes in a Free Plate, I, General Spectra,” Journal of Sound and Vibration, Vol. 137, No. 2, 1990, pp. 209-230.
- C. P. Chen and R. S. Lakes, “Micromechanical Analysis of Dynamic Behavior of Conventional and Negative Poisson’s Ratio Foams,” Journal of Engineering Materials and Technology, Vol. 118, 1996, pp. 285-288.
- F. Scarpa, L. G. Ciffo and J. R. Yates, “Dynamic Properties of High Structural Integrity Auxetic Open Cell Foam,” Smart Materials and Structures, Vol. 13, No. 1, 2004, pp. 49-56.
- T. C. T. Ting and D. M. Barnett, “Negative Poisson’s Ratios in Anisotropic Linear Elastic Media,” Journal of Applied Mechanics, Vol. 72, No. 6, 2005, pp. 929-931.
- X. Shang and R. S. Lakes, “Stability of Elastic Material with Negative Stiffness and Negative Poisson’s Ratio,” Physica Status Solidi B, Vol. 244, No. 3, 2007, pp. 1008-1026.
- C. Kocer, D. R. McKenzie and M. M. Bilek, “Elastic Properties of a Material Composed of Alternating Layers of Negative and Positive Poisson’s Ratio,” Materials Science and Engineering: A, Vol. 505, No. 1-2, 2009, pp. 111-115.
- M. Kurashige, M. Sato and K. Imai, “Mandel and Cryer Problems of Fluid-Saturated Foams with Negative Poisson’s Ratio,” Acta Mechanica, Vol. 175, No. 1-4, 2005, pp. 25-43.
- H. Sawaguchi and M. Kurashige, “Constant Strain-Rate Compression Test of a Fluid-Saturated Poroelastic Sample with Positive or Negative Poisson’s Ratio,” Acta Mechanica, Vol. 179, No. 3-4, 2005, pp. 145-156.