The displacement, and strain-stress fields of a general circular Volterra dislocation loop

A closed-form analytical solution for the displacement, and strain-stress f ields of a circular Volterra dislocation loop having a glide and prismatic components is obtained. Assuming linear elasticity and infinite isotropic m aterial, the displacement field is found by integrating the Burgers displac ement equation for a circular dislocation loop. The strain field is subsequ ently obtained and stresses follow from Hooke's law. The field equations ar e expressed in terms of complete elliptic integrals of the first, second, a nd/or third elliptic integrals. The general loop solution is, from the prin ciple of superposition, the additive sum of the prismatic and glide solutio ns. (C) 2000 Elsevier Science Ltd. All rights reserved.