water, D = plate rigidity, which is given by the following equation,
where E = Young's modulus of ice sheet, h=ice thickness, υ = Poisson's ratio.
2-2. Vertical ice forces without flooding
Using Kelvin's function, the general solution of ice floe deflection without flooding is given by the following equation (Figure-１),
where r = distance from the center of structure, A =unknown quantity, l = characteristic length, which is given by the following equation,
Figure-1. Conceptual figure (without flooding)
3. Vertical ice forces in flooding conditions
3-1. Ice floe deflection in flooding conditions
As shown in Figure-2, ice floe deflection in flood conditions during rises in water levels is given by the following two equations, one for a region of flooding (r｡蚌0, W1), and the other for a region without flooding (r>r0,W2),
Figure-2. Conceptual figure (with flooding)
general solutions of equations (11) and (12) are given by the following equations,
