The displacement field of a rectangular Volterra dislocation loop having 3 non-zero Burgers vector components was obtained in analytical closed form. The solution was obtained by integrating the Burgers equation for the displacement field of any closed dislocation curve, and was expressed in a relatively compact form. This solution was useful for a number of problems involving dislocation-particle interaction, where the boundary condition imposed certain restrictions on displacements in the medium, and the modelling of cracks of arbitrary shape. The correctness of the solution was checked by comparing the displacement and stress fields of a circular Volterra dislocation loop of equal Burgers vector and comparable size.

The Displacement Field of a Rectangular Volterra Dislocation Loop. T.A.Khraishi: Philosophical Magazine Letters, 2002, 82[5], 265-77