The dislocation dynamics of crystallographic slip-zone formation were investigated by assuming that the dislocation line tension was constant and that the expanding closed dislocation loop maintained a circular form. The differential equations for expansion of the ith dislocation loop which was produced by a dislocation source were considered.

Dislocation Dynamics of Elementary Crystallographic Shear. L.E.Popov, S.N.Kolupaeva, N.A.Vihor, S.I.Puspesheva: Computational Materials Science, 2000, 19[1-4], 267-74