On the Basic Components of the Interaction Energy Between Two Infinitesimal Circular Defects in an Isotropic Elastic Body

Abstract

The energy of interaction between two infinitesimal circular defects—dislocations and/or Frank disclinations—are given by the method of tensor analysis. The stress, incompatibility, and stress functions are expressed in terms of the dislocation and disclination density tensors. The interaction energy is given in terms of those tensors by means of the double-volume integrals with respect to the regions where there exist continuous distributions of defects. For discrete defects, the double-volume integrals are converted into the double-line integrals. The integrations are carried out for infinitesimal circular defects and the interaction energy between infinitesimal circular defects is given by a linear combination of certain basic components. Finally, the physical meaning of those components is given.