The quasi-static compression of non-circular prismatic blocks between very rough platens using the “friction hill” concept

There exists a similarity between the two-dimensional pressure distribution (“friction hill”) over the ends of a non-circular prismatic block when plastically compressed between very rough dies and the torsion stress function made manifest by the sand heap analogy which is used for the complete plastic torsion of non-circular prismatic bars.

This sand heap analogy is applied to provide an overestimate of the load required for the quasi-static compression of a rectangular block between very rough platens and to give an insight into the deformation pattern.

Annealed tellurium lead specimens of different shapes compressed between very rough platens illustrate the approach to other non-circular sections.