The model of PSB formation

Crystal Plasticity Treated as a Quasi-Static Material Flow through Adjustable Crystal Lattice

“…In principle, in crystalline materials a spectrum of the mechanisms may be activated, however, for a particular instability mode and loading conditions usually one of the mechanisms becomes dominant, e.g. the width of persistent slip bands is controlled by an inner structure of the bands [12], the close range dislocation interactions control the orientation and size of misoriented patterns [9]. As an example, the outlined model is enriched by the statistically motivated higher gradients of slip rates introduced in the hardening Eq.…”

“…They consist mainly of dislocation dipoles and loops (tangles, veins, walls), e.g. [12], which serve as a storage of dislocations and places of their annihilation and generation.…”

Statistical foundation of continuum dislocation plasticity

“…An example is the simulation of dislocation dipolar patterning. 19,44,51,52 The mathematical structure of the latter model corresponds exactly to the present one, and only the constitutive functionals have been represented by phenomenological functions. Another example is the recent model of misoriented dislocation cell formation in a crystal deformed by symmetric double slip.…”

“…13,36,38 The dislocation-loop interactions ͑friction and sweeping͒ as well as the loop-loop interaction have been only recently investigated 17,39,40,43 and the results have been phenomenologically applied. 19,44 The present systematical analysis ͑Secs. V D and V E͒ suggests the existence of gradient terms even in these interactions.…”