Is it possible to calculate the stress or contact force distribution over a curved contact surface?
I will try to explain the general idea in the figure below. Object $O$ (could be assumed to be rigid if it helps) is laying on the curved surface of a rigid body $B$ with the contact surface $S$ bounded by $A$ and $B$. Object $O$'s weight is negligible. A torque $T$ is applied at point $P$ on $O$. I am interested in calculating/estimating the distribution of force $f(s)$ applied along the contact surface $S$.
In case it is an indeterminate problem, would it be possible to calculate an approximation of the problem? (Any further assumptions that relax the problem to a calculable level are welcome)