Stress-controlled shear waves in a saturated granular medium

We study plane shear waves in a continuum model for a saturated soil, assum ing a hypoplastic flow rule. Following an earlier paper on velocity-control led waves [1], we now specify a time-periodic stress disturbance on the bou ndary of a semi-infinite medium. As before, the stress saturates, tending a t large times to a position-independent value, away from the boundary. By c ontrast, the dependence of this asymptotic state on the boundary data is st rikingly different: in the previous case, this dependence was wildly discon tinuous, while here it is very simple and smooth.