Continuity in the plastic strain rate and its influence on texture evolution

摘要: Classical plasticity models evolve state variables in a spatially independent manner through (local) ordinary differential equations, such as the update of rotation field crystal plasticity. A continuity condition is derived for lattice from conservation law Burgers vector content—a consequence an averaged theory dislocation mechanics. This results nonlocal evolution equation field. The provides theoretical basis assumptions co-rotation simulation rotations and texture evidence importance modeling classical possibility predicting continuous fields with sharp gradients representing non-singular distributions within rigid viscoplasticity discussed computationally demonstrated.