Wrinkling in Elastic-Plastic Bending of Circular Plates with and without a Hole Subjected to Edge Moments

Abstract

The onset of wrinkling in elastic-plastic bending of circular plates subjected to moments uniformly distributed along the outer edge is investigated theoretically as a bifurcation problem. Based on the numerical prebifurcation solutions obtained by the use of large deflection theory (relating to) thin plates, nonaxisymmetric bifurcation of deformation is analyzed approximately employing the principle of virtual work for finite deformation. The effects of disc geometry and material properties on bifurcation are clarified, including wave number. These theoretical results are qualitatively compared with experimental ones obtained previously in deep-drawing or cup-forming by bending with a hemi-spherical punch and die.