Geometrically exact elastoplastic rods: determination of yield surface in terms of stress resultants

Abstract This work addresses the determination of yield surfaces for geometrically exact elastoplastic rods. Use is made a formulation where rod subjected to an uniform strain field along its arc length, thereby reducing problem full just cross-section. By integrating plastic and stresses over rod’s cross-section, one then obtains discrete points surface in terms stress resultants. Eventually, Lamé curves their most general form are fitted by appropriate optimisation method. The resulting continuous examined scalability with respect cross-section dimensions also compared existing analytical forms surfaces.