Propagation of Lamb Waves in a Pre-Stressed Plate
A novel approach is presented to solve the propagation of Lamb wave in a pre-stressed plate with finite thickness, where the commonly used Helmholtz decomposition method fails to find the solution. By using the proposed approach, some important relations of Lamb wave such as the dispersion relation can be obtained and analyzed in closed form, and the effects of initial stress are discussed in details. The method presented herein can be developed further to study the mechanical behaviors of other surface wave acoustic devices.
J. Liu and J. X. Zhou, "Propagation of Lamb Waves in a Pre-Stressed Plate", Applied Mechanics and Materials, Vols. 66-68, pp. 413-418, 2011