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Surface wave diffraction at the crack in sheet ice. (English. Russian original) Zbl 0794.76015

Fluid Dyn. 28, No. 2, 230-237 (1993); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 1993, No. 2, 93-102 (1993).
Summary: The time-periodic motions of a liquid layer of finite depth beneath an ice sheet with a straight infinite crack having a periodic dependence on the horizontal coordinate in the direction of the crack are considered. The ice sheet is simulated by a thin elastic plate. It is assumed that the thickness of the plate changes abruptly across the crack. The problems of plane-wave diffraction at a crack, plane-wave diffraction at \(N\) cracks in a uniform ice sheet, and plane-wave reflection from a rigid wall are solved. The effect of the pre-existing state of stress of the ice sheet on the properties of the reflected waves is investigated. The condition of nontransmission of fix-frequency waves beneath the edge of the ice is obtained.

MSC:

76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
86A40 Glaciology
86A10 Meteorology and atmospheric physics
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
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References:

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