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Expressions for the velocities of elastic waves in stressed solids are derived using Murnaghan's theory of finite deformations and third-order terms in the energy. For isotropic materials, in addition to the Lam\'e constants and, three additional constants, l, m, and n, are required to describe the material. By measuring the transmission time of elastic pulses through the material, the velocities of longitudinal and shear waves are determined as a function of applied stress. By subjecting the material to hydrostatic pressure as well as simple compression, it is found that seven functions of the three constants l, m, and n can be measured and thus numerical values calculated. Results are given for polystyrene, iron, and Pyrex glass.
Hughes et al. (Tue,) studied this question.
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