4 papers
A small-distortion geometric model for elasto-plasticity in single crystals driven by the motion of dislocations
Filip Rindler
A central problem in nonlinear elasto-plasticity theory is to formulate a geometrically nonlinear, large-strain model of elasto-plasticity in single crystals in which plastic flow…
The Space-Time Connectivity Theorem for Normal Currents
Paolo Bonicatto, Filip Rindler, Harry Turnbull
This work establishes a Space-Time Connectivity Theorem for normal currents. In analogy with classical results of Federer and Fleming, this result allows one to witness the weak* c…
Homogenization of elasto-plastic evolutions driven by the flow of dislocations
Paolo Bonicatto, Filip Rindler
Starting from a prototypical model of elasto-plasticity in the small-strain and quasi-static setting, where the evolution of the plastic distortion is driven exclusively by the mot…
A quantitative model for the Frank-Read dislocation source based on pinned mean curvature flow
Thomas Hudson, Filip Rindler, Joshua Rydell
This work introduces a simple quantitative model for the Frank--Read source, considered to be one of the most important micro-mechanical mechanisms of dislocation creation in cryst…