Avdyushyna O. The two-dimensional problems of the theory of an elasticity for a anisotropic half-space with cavities and cracks

The dissertation is devoted the methodic of a solution of the common two-dimensional problems of the theory of an elasticity for a multiconnected anisotropic half-space. Basic elements are: an analytic continuation of complex potentials on upper half-planes; an reduction of the problems for the flat boundary to a series of the problems of linear conjugate; deriving of their common solutions; selection of singularities of complex potentials in the end of cracks; sufficing to boundary conditions on outlines of holes and cracks by a method of least squares. The series of the new problems for a anisotropic half-space and half-plane with holes and cracks is decided. The influence of an anisotropy and a geometric parameters half-space and half-plane on distribution of stresses and elastic potential, on modifications stress intensity factors is investigated. The series of new mechanical regularities is detected.