For an isotropic, homogeneous elastic material under uniaxial stress, Poisson's ratio (nu) is defined as the negative ratio of transverse (normal) strain to axial strain: nu = -(transverse strain)/(axial strain); the ratio of P-wave to S-wave velocity in an isotropic elastic medium is related to Poisson's ratio by the formula Vp/Vs = sqrt[ (2 - 2 x nu) / (1 - 2 x nu) ].
Given that the absolute value of the axial strain is three times the normal (transverse) strain, Poisson's ratio is nu = (transverse strain)/(axial strain) =...
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