FURTHER PARADOXES IN GENERALIZED LEVY PROBLEMS

The classical solution of Levy's plate problem breaks down for a criti cal plate angle, with both stress and displacement fields becoming unb ounded throughout the plate. The same sort of paradoxical response occ urs in traditional solutions for other critical angles if the pressure in Levy's original problem is replaced by a constant shear traction. These breakdowns can be rectified by suitably supplementing classical fields. In this note, a further generalization of Levy's problem is co nsidered. This entails clamping the plate edge without applied tractio ns. Critical angles for which traditional analysis breaks down are ide ntified, and new solutions are developed for these angles.