Modified maximal-stress conjecture for axially symmetric convex planar domains

Let $\Omega$ be an axially symmetric planar convex domain centered at the origin, and let the fail points be the points where the stress $|\nabla u|$ is maximal, with $u$ the torsion function. Modified maximal-stress conjecture. The fail points must either be at a point of minimal distance to the origin or at points with minimal curvature.

The source presents this as a modified conjecture proposed after a concrete counterexample to Saint Venant's conjecture, and notes that it has been believed by many mechanical engineers. The proposed location criterion is nevertheless false, as indicated by the direct counterexample cited in the source.