The displacement field of a triangular dislocation loop

Abstract

A formula is developed, in coordinate-free form, for the displacement field of a triangular dislocation loop in an infinite isotropic linear elastic solid. For purposes of numerical calculations, the present prescription may be more useful than one given previously by Hirth and Lothe (1982), since no special care need be taken in dealing with the branches of inverse trigonometric functions which appear in the ‘solid angle’ contribution to the displacement field. The method developed for computing the solid angle is also valid for a triangular loop in an an isotropic elastic solid.