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The Poisson's ratio of a stable, isotropic, linear elastic material must be between −1.0 and +0.5 because of the requirement for Young's modulus, the shear modulus and bulk modulus to have positive values. [3] Most materials have Poisson's ratio values ranging between 0.0 and 0.5.
The elastic properties can be well-characterized by the Young's modulus, Poisson's ratio, Bulk modulus, and Shear modulus or they may be described by the Lamé parameters. Young's modulus [ edit ]
CRC cites American Institute of Physics Handbook (AIPH) table 3f-2 for this value, but in AIPH table 2f-6 there are elastic constants reported that yield 3700,1570, 2620 WEL: 2680: AIPH: 3700: 1570: 2620: Table 2f-6. Calculated from Young's modulus of 147 GPa (lower than commonly accepted for Platinum), Poisson's ratio of 0.39, density of 21370 ...
Poisson's Ratio defines the ratio between the negative lateral strain and the longitudinal strain, ... Toggle the table of contents. Lateral strain.
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E 1 and E 2 are the Young's moduli in the 1- and 2-direction and G 12 is the in-plane shear modulus. v 12 is the major Poisson's ratio and v 21 is the minor Poisson's ratio. The flexibility matrix [S] is symmetric. The minor Poisson's ratio can hence be found if E 1, E 2 and v 12 are known.
The earliest published example of a material with negative Poisson's constant is due to A. G. Kolpakov in 1985, "Determination of the average characteristics of elastic frameworks"; the next synthetic auxetic material was described in Science in 1987, entitled "Foam structures with a Negative Poisson's Ratio" [1] by R.S. Lakes from the ...
For sufficiently large values of λ, (say λ >1000), the normal distribution with mean λ and variance λ (standard deviation ) is an excellent approximation to the Poisson distribution. If λ is greater than about 10, then the normal distribution is a good approximation if an appropriate continuity correction is performed, i.e., if P( X ≤ x ...