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Continuity in the Plastic Strain Rate and its Influence on Texture Evolution
Classical plasticity models evolve state variables in a spatially independent manner through (local) ordinary differen-
tial equations, such as in the update of the rotation field in crystal plasticity. A continuity condition is derived for the
lattice rotation field from a conservation law for Burgers vector content—a consequence of an averaged field theory
of dislocation mechanics. This results in a nonlocal evolution equation for the lattice rotation field. The continuity
condition provides a theoretical basis for assumptions of co-rotation models of crystal plasticity. The simulation of
lattice rotations and texture evolution provides evidence for the importance of continuity in modeling of classical plas-
ticity. The possibility of predicting continuous fields of lattice rotations with sharp gradients representing non-singular dislocation distributions within rigid viscoplasticity is discussed and computationally demonstrated.
Comments on the attached paper are greatly appreciated.
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REVISED_continuity_texture.pdf | 7.28 MB |
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