We develop a finite-element-based nodal dislocation dynamics model to simul
ate the structure and strength of dislocation junctions in fcc crystals. Th
e model is based on anisotropic elasticity theory supplemented by the expli
cit inclusion of the separation of perfect dislocations into partial disloc
ations bounding a stacking fault. We demonstrate that the model reproduces
in precise detail the structure of the Lomer-Cottrell lock already obtained
from atomistic simulations. In light of this success, we also examine the
strength of junctions culminating in a stress-strength diagram which is the
locus of points in stress space corresponding to dissolution of the juncti
on.