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A Note on Stress Function Discontinuities in Plane Plastic Bending and Torsion
Abstract
The variational and differential equation formulations of the stress function problem for combined plane bending and torsion of a fully plastic material are discussed. The nature of discontinuities to be expected as well as the actual degree of correspondence between the two formulations is determined. A modification of the variational integrand reveals the pattern of discontinuity which is then completely determined. This disposes of some mathematical issues raised by Steele and Imegwu in their relaxation numerical analysis of the problem.