GIANNAKOPOULOS, A.E., BAXEVANAKIS, K.P. and GOULDSTONE, A., 2006. Finite element analysis of Volterra dislocations in anisotropic crystals: A thermal analogue. Archive of Applied Mechanics, 77 (2-3), pp. 113-122.
The present work gives a systematic and rigorous implementation of Volterra dislocations in ordinary two-dimensional finite elements using the thermal analogue and the integral representation of dislocations through the stresses. The full fields are given for edge dislocations in anisotropic crystals, and the Peach-Koehler forces are found for some important examples.
The final publication is available at link.springer.com via http://dx.doi.org/10.1007/s00419-006-0065-1.