Parametric excitation of flexural-gravity edge waves in the fluid beneath an elastic ice sheet with a crack

The properties of elastic-gravity oscillations of deep water beneath a thin elastic plate with a crack are investigated in the paper. The dependence o f the reflection and transition coefficients of the waves through the crack on wave frequency and incident angle are found. The shape of the fluid sur face deformed by edge waves, propagating along the crack and decreasing exp onentially away from the crack, is investigated in the vicinity of the crac k. The asymptotic equations describing the parametric excitation of counter propagating edge waves by flexural-gravity waves which hit the crack at nor mal incidence are derived. (C) Elsevier, Paris.