Trotsenko O. The energy of the elastic interaction of point defects with dislocation loops in HCP-crystals in the formalism of the Green’s function

The work is devoted to the calculation of the energy of the elastic interaction of radiation point defects with dislocation loops in HCP-crystals, in particular in zirconium. The energy of the elastic interaction of point defects (in the approximation of the centers of dilation) with the real types of dislocation loops of zirconium is calculated. First, there are basic loops with exclusively prismatic (c-loops) and exclusively shear components of the Burger’s vector. Secondly, these are so-called a-loops in planes with the Burger’s vector. It is shown that the use of the Green's function for calculating the energy of the interaction between the dilatation center with the edge rectilinear dislocation and the edge loop in the approximation of elastic isotropy gives the same results as obtained by solving the equilibrium equation. The classical problem of calculating of the diffusion fluxes of point defects per unit length of a rectilinear edge dislocation was solved for the first time, taking into account two new elements: (1) the conditions on the boundary of the region of influence, unlike previous authors, are superimposed on the chemical potential of point defects, and not on their concentration; (2) the source of the point defects was taken into account in the field of the influence of the flow.