5 - Nonlinear kinematic hardening cyclic plasticity

Abstract

The theory of plasticity and materials constitutive equations are essential to characterize the response of metallic alloys undergoing various loading conditions. Kinematic hardening rules are to establish the governing equations over a loading process. This chapter aims to review kinematic hardening rules based on uncoupled multisurface hardening rules, as well as coupled kinematic hardening rules through von Mises yield criterion, incorporating yield surface distortion, hardening models in conjunction with continuum damage mechanics, kinematic hardening models adopted at notch roots, and hardening models through description of crystal plasticity. A special attention is paid to the coupled kinematic hardening rules, the influencing terms, and parameters in the structure of hardening models including materials time-dependency, viscoplasticity, temperature in the presence of stress raisers and notches. The choice of a kinematic hardening model to evaluate material's deformation at various loading conditions is highly dependent upon the structure and capability of models.