Defects in the elastic continuum: classification, fields and physical analogies


In the framework of continuum mechanics of solids the classification of the defects, i.e. the internal sources of elastic fields, is presented. The classification is based on the dimension of the area where the defect eigenstrain is given. On the base of the elastic fields of the infinitesimal dislocation loops the fields of various defects: localized line segment, the ray, the circular dilatation thread, and the circular dilatation disk are found. The fields for the axisymmetric defects are given in the form of Lipschitz-Hankel integrals.