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Below the yield stress your fluid is behaving like an elastic solid. Imagine putting your tank in zero g, so there are no forces, and then removing the base. The result would look like the left hand figure in the diagram below: Now turn on gravity, or apply an external force and the result will be the middle diagram. As long as the stress is below the ...

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We would have to know more about the ice we want to build the wall with. For example, for ice in icesheets, you have an ice which effectively reaches a plastic region of the stress strain curve at around $0,5 MPa$. I am not a geologist, but I believe that the glaciers can be only thicker than $\sim 50 m$ thanks to it's specific shape and the fact that the ...

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You probably know that while the Cauchy stresses are objective, its stress rate (material derivative) is not. If $Q(t)$ is an orthogonal tensor representing a change of frame, the stress is the new frame is $$T^* = Q T Q^T$$ However, if you take material derivatives on both sides, you have, $$\dot{T^*} = \dot{Q} T Q^T + Q \dot{T} Q^T + Q T \dot{Q}^T ... 1 If you take a one meter long section of your cylinder and imagine cutting it in half, the force separating the halves is pressure*diameter*1m This is resisted by 2*wall thickness*1m of wall. So the stress in the wall is the ratio of these:$$\text{stress}=\frac {\text{pressure*diameter}}{2* \text{wall}}\\ \text{wall}=\frac {\text{pressure*diameter}}{2* ...

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