Motion of a Load over an Ice Sheet with Non-Uniform Compression

Dipole Oscillations along Principal Coordinates in a Frozen Channel in the Context of Symmetric Linear Thickness of Porous Ice

“…The question about whether it is needed to account for static pressure is also open. Following straightforward logic, on the upper surface of the plate, there is no fluid, so the static pressure ρ ℓ gw acting on the lower surface should be taken into account in (6). However, if the plate is submerged in water, the static pressure from different sides compensates for each other; see [51].…”

“…Problems describing the behavior of ice covers have been actively studied since the second half of the last century [1][2][3]. Many studied problems are related to the propagation of flexural-gravity waves in ice sheets of infinite extent [4][5][6][7][8][9][10]. The problems concerning the behavior of ice covers in channels are of major interest for research, because they have practical importance for studying ice breakup in rivers during spring or for the safe transportation along a frozen channel.…”

Ship wave patterns on floating ice sheets

“…Non-constant load speeds are included in a few studies 8 – 12 , and in particular it was shown that a decelerating load could lead to constructive interference of waves which could exceed the critical stress and thereby lead to crack formation 8 , 12 . While some studies examine non-homogeneous ice conditions 13 , 14 and damping properties of the ice cover 15 – 20 which can be a major factor in ice failure, the present study is focused on the effect of changes in speed and in particular changes in the direction of propagation of the moving load.…”