Physical Oceanography, Vol. 15, No. 6, 2005
THERMOHYDRODYNAMICS OF THE OCEAN
DISTRIBUTION OF FLEXURAL STRAINS IN A SEA-ICE COVER CAUSED BY
THE UNIFORM MOTION OF AN AREA OF CONSTANT PRESSURE
A. E. Bukatov and V. V. Zharkov
UDC 551.46: 532.59
The space distribution of flexural strains induced in a floating ice cover by its oscillations caused
by the motion of an area of constant pressure is investigated. The dependences of flexural strains
in front the load, in the loaded area, and in the wave track on the thickness of ice, velocity of
propagation of pressure, and the type of its distribution are analyzed.
The presence of ice cover is a characteristic feature of hydrological conditions formed in polar regions of
the ocean, freezing seas, and inland water basins. A survey of the results of theoretical and experimental investi-
gations of the influence of ice cover on the generation and propagation of flexural-gravitational waves can be
found in [1–6]. The solution of various practical problems largely depends on the ice conditions. Moreover, the
flexural strains induced by the action of wave disturbances can be regarded as an important characteristic of the
state of ice cover. Note that the flexural strains formed in ice near the path of a moving load are investigated in
In the present work, we study the space distribution of flexural strains induced in the ice cover by the mo-
tion of an area of constant pressures over the ice surface.
Statement of the Problem and Basic Equations
Assume that an axially symmetric area of constant pressures
= pf x y(,)
moves along a straight line with a constant velocity v over the surface of a continuous ice cover floating on the
surface of a basin of constant depth H filled with a perfect incompressible liquid. The motion of seawater is re-
garded as potential and the oscillations of the floating ice cover as small and nonseparating. Under these assump-
tions, we consider the stresses induced in the ice cover by its flexural deformations
. To determine the flexural
strains in the case of a plane front of moving pressures, one can use the following relation proposed in [8, 9]:
Marine Hydrophysical Institute, Ukrainian Academy of Sciences, Sevastopol.
Translated from Morskoi Gidrofizicheskii Zhurnal, No.
3–16, November–December, 2005. Original article submitted September
0928-5105/05/1506–0323 © 2005 Springer Science+Business Media, Inc. 323