Plasticity of Additionally Hardened Materials under Cyclic Loading

Mathematical simulation of elastoplastic deformation of additionally isotropically hardened materials under proportional and nonproportional cyclic loadings is examined. A rather simple version of the plasticity theory, being a special case of the theory of inelasticity, is discussed. This version belongs to the class of single-surface combined-hardening flow theories. The results of computational and experimental investigations of elastoplastic deformation and fatigue fracture of materials at various nonproportional cyclic loads are cited. An adequate description of nonproportional loading processes, additional isotropic hardening effects, as well as fracture processes within one, rather simple version of the plasticity theory is by for the advantage of examined mathematical simulation.