THE PLASTIC BENDING OF CLAMPED POLYGONAL PLATES WITH AN APPLICATION TO RADIAL BUCKLING IN MILK BOTTLE TOPS

Solutions for the plastic bending of clamped polygonal plates are inve stigated. For an isosceles triangular plate, and for a truncated isosc eles triangular plate, minima exist for plastic work of formation with respect to angles of the triangle, and location of the apex of the de formed pyramid shape. A characteristic number of radial buckles is for med when the foil circular top of British one-pint milk bottles is pus hed in and material drawn over the rim of the bottle on opening. The p lastic bending analysis provides an approximate means of predicting th e number of buckles. Copyright (C) 1996 Elsevier Science Ltd.