The dislocation dynamics of crystallographic slip-zone formation were investigated under the assumption that the dislocation line tension was constant and the expanding closed dislocation loop retained the form of a circle. The differential equations for the 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