Showing math.APShow all
2 papers · 1 filter
math.AP2021
Expansions for the linear-elastic contribution to the self-interaction force of dislocation curves
Patrick van Meurs
The self-interaction force of dislocation curves in metals depends on the local arrangement of the atoms and on the nonlocal interaction between dislocation curve segments. While t…
math.AP2019
The continuum limit of interacting dislocations on multiple slip systems
Patrick van Meurs
In this paper we derive the continuum limit of a multiple-species, interacting particle system by proving a -convergence result on the interaction energy as the number of partic…