Abstract

The three coefficients which define the elastic properties of isotropic solids, viz., the simple rigidity ( n ), Young’s modulus ( q ) and the elasticity of volume ( k ) are connected by the equations 2 n ( μ + 1) = q = 3 k (1-2 μ ). The quantity μ or the ratio of lateral contraction to longitudinal extension, the measurement of which forms the subject of this paper, appears in many problems relating to the flexure of solids, and has besides a kind of historical interest in virtue of Poisson’s erroneous conclusion that it must be 1/4 for all bodies.

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