Abstract
An extension of the reciprocal theorem of Colonetti is given and with it a general expression derived for the elastic energy of a multiply-connected solid containing sources of internal stress and subjected to external forces. The terms in the energy which depend on the relative position of a selected source of stress with respect to the field of all the others can be separated. The expression is used to estimate approximately the interaction energy between parallel edge dislocations with arbitrary slip vectors, between parallel screw dislocations and between an edge dislocation and a solute atom causing a spherical distortion of the lattice.
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