Abstract
In this paper, the transient response of an ice sheet subjected to sudden uplift is investigated. The ice sheet is modeled as an infinite thin plate undergoing small deflections that is being pushed vertically upwards by a rigid flatended cylinder. The water underneath the ice sheet is modeled using incompressible potential flow theory. For a given motion of the cylinder, the current problem is reduced to a Volterra integral equation of the first kind for the indentation force. It is solved by transforming the governing equation into an integro-differential equation. For the physical quantities of interest, comparisons are made with related experiments.
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