The dynamic behaviour of solids in incremental nonlinear elasticity: perturbations and integral equations

The dynamic behaviour of pre-stressed, elastic orthotropic and incompressible materials is considered in the time-harmonic regime. Depending on the level of pre-stress and anisotropy, wave patterns are shown to emerge, with focussing of signals in the direction of shear bands. Varying the direction of the dynamic perturbation excites different wave patterns, which tend to degenerate to families of plane waves parallel to the shear bands, when the elliptic boundary is approached