Sea ice thick floats on sea water of density

PHYSICS · Multi-part · Fermi University Physics · Fluids & Continuum Physics · Solid continuum mechanics and complex fluids · Solid continuum mechanics and complex fluids

Bending, Ringing, Breaking and Flowing, Ch Buckling, plates and elastic foundations

Problem

Sea ice

h = 0.8\,\mathrm{m}

thick floats on sea water of density

1025\,\mathrm{kg\,m^{-3}}

. The ice has

E = 5\,\mathrm{GPa}

and

\nu = 0.3

. Take the restoring density contrast

\Delta\rho

equal to the water density and

g = 9.8\,\mathrm{m\,s^{-2}}

. A heavy load resting on the ice behaves as a line load. ((a)) Find the flexural rigidity

D

of the ice sheet and its flexural parameter

\alpha_f

. ((b)) Find the distance from the load at which the ice surface first returns to its undisturbed level, and the distance at which the surrounding upward bulge peaks.

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