A quantitative description of plastic deformation in crystalline solid
s requires a knowledge of how an assembly of dislocations-the defects
responsible for crystal plasticity-evolves under stress(1). In this co
ntext, molecular-dynamics simulations have been used to elucidate inte
ratomic processes on microscopic (similar to 10(-10) m) scales(2), whe
reas 'dislocation-dynamics' simulations have explored the long-range e
lastic interactions between dislocations on mesoscopic (similar to 10(
-6) m) scales(3). But a quantitative connection between interatomic pr
ocesses and behaviour on mesoscopic scales has hitherto been lacking.
Here we show how such a connection can be made using large-scale (100
million atoms) molecular-dynamics simulations to establish the local r
ules for mesoscopic simulations of interacting dislocations. In our mo
lecular-dynamics simulations,we observe directly the formation and sub
sequent destruction of a junction (a Lomer-Cottrell lock) between two
dislocations in the plastic zone near a crack tip: the formation of su
ch junctions is an essential process in plastic deformation, as they a
ct as an obstacle to dislocation motion. The force required to destroy
this junction is then used to formulate the critical condition for ju
nction destruction in a dislocation-dynamics simulation, the results o
f which compare well with previous deformation experiments(4).