Ostapchuk P. The kinetics of radiation-induced processes in crystals

Object: vacancy and gas pores formed in metals and alloys under irradiation and causing them to radiation swelling. The purpose: determination of control mechanisms, the construction of their physical models and corresponding computational schemes to describe patterns of radiation-induced of pores growth processes and plasticizing of crystals observed experimentally. Methods: The calculations used as a traditional, well tested equations of mathematical physics and methods of their solution (basic equations of the theory of elasticity, the Fokker-Planck equation of elliptic type with different boundary conditions, the method of Green's functions, etc.) and non-traditional: Lifshitz - Slyozov theory of coalescence, Lifshitz - Rosenzweig method. Results: for weakly anisotropic cubic crystals the correct analytical expression of linear in the anisotropy parameter corrections in the isotropic component of the Green tensor of the basic equation of the theory of elasticity is obtained. For the hexagonal close-packed crystals analytical expressions of Green's tensor components in general are obtained. Unlike the cubic crystals they are accurate and they have the same form as for purely imaginary, and for the complex poles of the residue theory, and therefore cover the entire spectrum of hexagonal crystals. The limit to the isotropic approximation is shown. On the basis of the Green tensor for weakly anisotropic cubic crystals, an analytical expression for the energy of the elastic interaction between the center of dilation with a spherical pore is obtained. Field of application: physics of solid state, radiation physics