We are building a water tank in roll shape. within a certain radius, at a certain height. Our plan is to freeze the water to minus 4 degrees. How to do an analysis of the swelling effort from ice?
If you know the volumetric increase of the ice you could assume a displacement boundary condition on the affected surface. Otherwise you'd have to deduce the pressures produced.
Caveat emptor - unknowns: friction between ice and surface; ice in a container 'crowns' in the center usually; etc., etc.
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