Elastic/plastic shakedown load boundary determination accounting for limited ductility structures

Abstract

The problem related to the determination of the borderline between elastic/plastic shakedown and incremental/instantaneous collapse domains in the Bree diagramfor elastic perfectly plastic structures subkected to a combination of fixed and perfect cyclic load is studied. The relevant boundary is determined taking into account suitable limits related to the structures ductility features. In particular, basing on a special bounding theorem, it is possible to introduce appropriate boundary constraints on chosen measure of the plastic strains occurring at the end of the transient phase of the structural response