Abstract
It is shown that the force exerted on a line element of a dislocation with Burgers vector f by a stress is given by . An analogy is drawn between the behavior of a closed line dislocation in a stress field and the behavior of a closed current-carrying loop in a field of magnetic induction. Then formulas for the stress components caused at any point of an infinite elastically isotropic crystal by a line element of a general Burgers dislocation are deduced from Burger's expressions for the displacements (see Sec. III(C)). These formulas bear a close analogy to the Biot-Savart formula of electromagnetic theory. Both of these results taken together constitute a complete system for the investigation of the mutual interaction of dislocations in an infinite elastically isotropic crystal.
- Received 4 May 1950
DOI:https://doi.org/10.1103/PhysRev.80.436
©1950 American Physical Society