Oblique shear wave propagation in finitely deformed layered composites

In this paper, we study the influence of deformation on shear waves propagating at various angles in hyperelastic layered composites (LCs). In periodic laminates, shear wave band gaps (forbidden frequency ranges) exist only for waves propagating perpendicular to the layers, and the band gaps close suddenly if the incidence angle changes even slightly. However, the attenuation in the frequency ranges corresponding to band gap decreases gradually with a change in the angle. We find that the dispersion curves are significantly influenced by deformation for shear waves propagating at oblique angles. We show the evaluation of the dispersion from the case of waves propagating perpendicular to the layers to the case of waves propagating along the layers in finitely deformed LCs. We observe significant influence of deformation on the dispersion curves of shear waves propagating at angles different from the normal case. For waves propagating at angles close to the normal case, the dispersion curves are highly nonlinear, and the applied deformation changes the location of the local minima and maxima, and further transforms them. For oblique waves propagating at significantly different from normal case angles, we find that the dispersion curves possess “bi-linear” behavior, and the applied tensile deformation shifts the dispersion curves towards higher frequency in both linear short and long wave ranges. For long wave ranges, however, the effect of deformation becomes less significant after some level of applied deformation.