Yield surface linearization in elastoplastic analysis

A method for the historical elastoplastic analysis of plane frames under the assumption of small deformation theory is presented. Interaction of bending moment and axial force is taken into account. A major feature of the procedure lies in the piecewise linearization of the convex nonlinear yield surface, thereby guaranteeing the satisfaction of both equilibrium and yield conditions. Local unloading can also be catered for. A computer program based on this technique has been written and three simple numerical examples are given to illustrate its capabilities.