Polishchuk T. Research of interfacial prefracture processes at the corner point of media-separating boundary

The objects are elastoplastic and brittle connective materials. The aim is the establishment of the laws of development of interfacial prefracture zones at the corner boundary between isotropic media interface and the nature of changes in the level of stress concentration near this point (area destruction of the material) depending on the angle and the elastic constants. Interfacial prefracture zones at the corner point of the media-separating boundary in the case of elastoplastic and brittle connective materials are calculated. To this and, the transition from problems on prefracture zones to the plane static symmetric problems of elasticity theory for the piece-homogeneous isotropic plane with boundary of separating in the form of angle sides which contains lines of rupture of tangential or normal displacement of the finite length emanating from the corner point and placed on the boundary is accomplished. The condition that allows taking into consideration influence of external field is formulated at infinity. Wiener-Hopf method in combination of Mellin transformation is used for the exact solution of corresponding problems. Formulae for calculating prefracture zones lengths are derived on the base of the given solutions and the stress near the corner point is investigated. Character of changing of concentration level of the stress near the corner point depending on the angle and elastic constants is determined. When parts of piece-homogeneous elastoplastic body are rigidly connected the possibility of development initial plastic prefracture zone along non-smooth interface of media is investigated. Shown that the corresponding range of values of angle exit.