Hardening laws in miltilevel crystal plasticity models and macro effects of complex cyclic loading

The problem of constructing a physically based hardening laws of mono- and polycrystalline samples in multi-level theories using crystal plasticity is considered, these hardening laws should allow describing the process of the defect structure evolution of the material due to the intensive inelastic deformations. It is also should be applicable to the description of complex and cyclic loading. An approach to the construction of a general and a particular form of hardening law is proposed, which takes into account the interaction of full and split dislocations with each other, forming and destruction of dislocation barriers, annihilation of dislocations during reverse loading and the interaction of intragranular and grain boundary dislocations. Using the obtained hardening law, the known experimental effects of complex and cyclic loading are described.

Full text (pdf)

1. Trusov P.V., Shveykin A.I., Nechaeva E.S., Volegov P.S.: Multilevel models of inelastic deformation of materials and their application for description of internal structure evolution. Physical Mesomechanics, 15 (2012), 155-175.
2. Trusov P.V., Volegov P.S.: Crystal plasticity: theory and applications to the description of inelastic deformation of materials. Part 1: Rigid-plastic and elasticplastic models. PNRPU Mechanics Bulletin, 1 (2011), 5-45 (in Russian).
3. Trusov P.V., Volegov P.S.: Crystal plasticity: theory and applications to the description of inelastic deformation of materials. Part 2: Viscoplastic and elastoviscoplastic models. PNRPU Mechanics Bulletin, 2 (2011), 101-131 (in Russian).
4. Trusov P.V., Volegov P.S.: Crystal plasticity: theory and applications to the description of inelastic deformation of materials. Part 3: Hardening theories, gradient theories. PNRPU Mechanics Bulletin, 3 (2011), 146-197 (in Russian).
5. Volegov P.S., Yanz A.Yu.: Asymmetric crystal plasticity theory for FCC polycrystals: peculiarities of numerical implementation of some schemes of loading. PNRPU Mechanics Bulletin, 1 (2011), 121-137 (in Russian).
6. Trusov P.V., Volegov P.S.: Physical plasticity theories and its applications to describing policrystalline hardening. Tambov University Reports Natural and Technical Sciences, 15 (2010), 983-984.
7. Trusov P.V., Volegov P.S., Yanz A.Yu.: Description of intragrain and grainboundary hardening of mono- and polycrystals. Scientific and technical statements of St. Petersburg State Polytechnical University. Physics Mathematics, 98 (2010), 110-119 (in Russian).