The Poisson's Ratio for most of the materials is in the range of 0 to 0.5. The theory of isotropic linear elasticity allows Poisson's ratios in the range from -1 to 1/2 for an object with free surfaces with no constraint. R(θ)≈R(0)cos2θ+2.25Δνsin2θ 2.7 It is a common observation when a rubber band is stretched, it becomes noticeably thinner. Sorry to see that you are blocking ads on The Engineering ToolBox! If you find this website valuable and appreciate it is open and free for everybody - … Typical Poisson's Ratios for some common materials are indicated below. Zoeppritz P-wave reflection coefficients for a shale over gas sand interface for a range of normal reflectivity values. The Poisson's Ratio is between the range f 0 to 0.5 for plastics. Again, the Poisson ratio will be the ratio of relative contraction to relative expansion and will have the same value as above. For most common materials the Poisson's ratio is in the range 0 - 0.5. It should be calculated from the initial portion of the load (or stress) versus strain curve. In certain rare cases, a material will actually shrink in the transverse direction when compressed (or expand when stretched) which will yield a negative value of the Poisson ratio. For flexible materials and other soft materials, Poisson’s ratio is close to 0.5 which means that the cross-sectional width gets reduced by up to 50%. The Poisson’s ratio of most thermoplastic materials falls in the range of 0.3 to 0.5. Generally for steels, Poisson's ratio will have a value of approximately 0.3. Essentially, it is the measurement of the change in volume of a material during deformation. Poisson's ratio is a measure of the Poisson effect, the phenomenon in which a material tends to expand in directions perpendicular to the direction of compression. When the Poisson's Ratio is 0 there is no reduction in the diameter or one can even say there is no laterally contraction happening when you are elongating the material but the density would reduce. For a perfectly isotropic elastic material, Poisson's Ratio is 0.25, but for most materials the value lies in the range of 0.28 to 0.33. Physically the reason is that for the material to be stable, the stiffnesses must be positive; the bulk and shear stiffnesses are interrelated by formulae which incorporate Poisson's ratio. The Poisson’s ratio and density were assumed to be 0.38 and 2.4 g/cc for shale and 0.15 and 2.0 g/cc for gas sand (from Rutherford and Williams, 1989). In the case of brittle or tough materials, the Poisson’s ratio is near to 0 which means that there is no change in width even though there is a change in length. Conversely, if the material is stretched rather than compressed, it usually tends to contract in the directions transverse to the direction of stretching.

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