Rupture Surfaces of thick Spherical Shell under Internal Pressure

摘要

The theory of fracture en surfaces of instability has been applied to predict, analytically, the possible surfaces on which a thick-walled spherical shell will rupture. The shell is assumed to be made of an incompressible, rigid-perfectly plastic material satisfying either Tresca’s or von Misses yield criterion. Furthermore, it is assumed that the internal pressure is sufficient to render the shell material fully in the plastic state* Under these conditions, it is shown that the spherical shell is subject to rupture on radial planes whose intersections with the inner and outer surfaces of the shell are arcs of great circles.