dislocation density

https://doi.org/10.1088/1361-651X/ab602e

Link to author's personal copy

Abstract:

At the Division of Mechanics
of Functional Materials in the institute of Materials Science, TU Darmstadt the
following research position is to be filled as soon as possible:

 Research position (E 13 TV – TU
Darmstadt), Doctoral Candidate/Postdoc

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