Abstract
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 Lamé constants and , three additional constants, , , and , 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 , , and can be measured and thus numerical values calculated. Results are given for polystyrene, iron, and Pyrex glass.
- Received 1 June 1953
DOI:https://doi.org/10.1103/PhysRev.92.1145
©1953 American Physical Society