Defining the radius of a structure as a and thedistance from the boundary of the flooding region as r0,the boundary conditions when an ice floe adfreezes to a structure are as follows,
(2) Ice sheet not adfreezing to structures
Boundary conditions when an ice floe does not adfreeze to a structure are given by the following equation,equations (16), (18)-(21) and
3-3. Vertical ice forces in flooding conditions
(1) Ice sheet adfreezing to structures
Combining equations (13) and (15) with equations(16)-(21) (the boundary conditions), the following equations are fomulated,
(2) Ice sheet not adfreeznng to structures
Similarly, by substituting the boundary condition,equation (13), into equation (22), the following equation is obtained,
The seven unknown quantities, i.e. A1-A4, B3, B4 and r0,are solved in equations (23)-(29) when an ice floe adfreezes to a structure, and in equations (23) and (25)-(30) when an ice floe does not adfreeze to a structure. Since r0 is a variable of Kelvin's function, it is logical here to take a limit by giving an approximate value to r0. Figure-3 is a flowchart to calculate the vertical ice forces in flooding conditions. When the above seven unknown quantities are known by this procedure, the shear force(Q) and the vertical ice force (Pf) in flooding conditions are given by the following equations,
