Consistent limited kinematic hardening plasticity theory and path-independent shakedown theorems

• Published in: International journal of mechanical sciences 2017-09, Vol.130, p.11-18
• Main Author: Pham, Duc Chinh
• Format: Article
• Language: English
• Subjects: Bauschinger hypotheses; Cyclic loading; Elastic-plastic material; Limited kinematic hardening plasticity; Plastic collapse; Positive hysteresis hypothesis; Shakedown
• ISSN: 0020-7403; 1879-2162
• DOI: 10.1016/j.ijmecsci.2017.06.005

•The limited kinematic hardening plasticity theory is presented with maximal dissipation, strictly-stable hardening, positive hysteresis, and multi-axial Baschinger hypotheses being proposed.•Specifications on limited kinematic hardening are critically analysed.•The path-independent shakedown theorems, which are only fully founded in this study, recent applications and further problems are summarized with references to the respective literature. The limited kinematic hardening plasticity theory is re-examined and presented with additional clarifying hypotheses being proposed. The general theory forms the base for construction of the path-independent shakedown theorems intended for possible broad engineering applications, and possible further specifications of particular hardening laws. Some specifications in the literature on limited kinematic hardening are critically analysed. Recent applications of the shakedown theorems in path-independent forms with two separated modes, which are only fully founded in this study, and further problems are briefly summarized with references to the respective literature.