We present a self-consistent tight-binding formalism to calculate the force
s on individual atoms due to the flow of electrical current in atomic-scale
conductors. Simultaneously with the forces, the method yields the local cu
rrent density and the local potential in the presence of current flow, allo
wing a direct comparison between these quantities. The method is applicable
to structures of arbitrary atomic geometry and can be used to model curren
t-induced mechanical effects in realistic nanoscale junctions and wires. Th
e formalism is implemented within a simple Is tight-binding model and is ap
plied to two model structures; atomic chains and a nanoscale wire containin
g a vacancy.