In the paper non-homogeneous models of floating ice covers subjected to moving loads are presented. The models presume that the ice sheet may be represented as a thin, elastic, infinite plate on a fluid foundation. The modified flexural rigidity is used in the plate equations. The underlying water is modelled as a massless Winkler foundation or as an inviscid and incompressible fluid in irrotational flow described by a velocity potential. In the both cases critical velocities are determined. For the plate on the Winkler foundation a phase velocity in function of wave number k is determined also.
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