Constitutive equations of single crystals and polycrystalline aggregates under cyclic loading

摘要: Abstract It is found that the existing dislocation hardening mechanisms can be generally classified into two categories: isotropic and kinematic. This classification leads to concept of “degree isotropy” in work hardening. Based on this concept, cyclic stress-strain relations single crystals metals are constructed throughout entire loading history. The connections between mechanical behaviour dislocations a crystal, those crystal grains polycrystal explored under monotonic conditions. These explorations show Bauschinger effect caused by kinematic mechanisms, both residual stress most favorably-oriented slip system. softening behavior shown intimately related its constituent crystals. theory developed applied describe copper predict response 2024-T351 aluminum alloy; cases agreement with experiments considered good.