| Abstract: | The first paper of this title [P. G. Lowe, Conjectures relating to rigid-plastic plate bending. Int. J. Mech. Sci.30, 365–370 (1988)] restated two conjectured general results relating to plate collapse and went on to apply them to finding accurate lower bound collapse load estimates, as well as the extent of the plastically deforming regions, for a series of clamped plates with regular polygonal shapes.The main geometrical results used there are applicable only to polygonal shapes of plate which have an in-circle. In this paper the geometrical procedures are generalized to apply to any polygonal shape of plate, including non-convex shapes. These more general geometrical results enable additional shapes of plate to be analysed and further evidence is collected which is consistent with the conjectured general results being true. |
