Dispersive waves in composites, a comparison between various laminated plate theories

Group velocity and characteristic wave curves of Lamb waves in composites: Modeling and experiments

“…Although the exact solutions provide accurate results, the computation for dispersion characteristics of multi-layered composites is intensive because of the transcendental equations, not to mention the transient wave response of composites. To make the solutions tractable, many researchers have strived to approximate solutions by laminated plate theories [11][12][13]. However these studies did not obtain the group velocity dispersions of Lamb waves.…”

Characterization of Degradation Progressive in Composite Laminates Subjected to Thermal Fatigue and Moisture Diffusion by Lamb Waves

“…Lamb waves in a multi-layered composite laminate can be generally described by its displacement. The displacement field is governed by Navier’s equation within each layer [ 28 , 29 ]. where is the displacement, and are the elastic constants, is the density of the layer, respectively.…”

“…Lamb waves in a multi-layered structure are affected by the thickness, density, and material elastic properties in each layer of the structure. The dispersion equations for guided waves in the composites satisfying traction-free boundary conditions on the two surfaces of the plate are obtained from the matrix method in the explicit form [ 28 ], where is the phase velocity of the pure guided waves propagating through the surfaces of specimen. The dispersion curves are obtained by solving the equations for .…”