On contact interaction of an elastic semi-infinite plate with two similar stringers

In a semi-infinite elastic plate, from the point of view of the vertical boundary crack possible formation, when the plate stringer system is subjected to the horizontally stretching forces influence, the contact problem on the interaction of such plate with two similar stringers is considered. The stringers are considered to be absolutely rigid or ordinary one-dimensional elastic solid bodies. On the base of these problems' solution with the help of Kolosov-Muskhelishvili complex potentials for an elastic half-plane, fracturing normal stresses, acting on the axis of the plate symmetry are determined. Then, with these stresses which on the boundary of the plate reach their maximum, the brittle fracturing condition of the plate is written. It is shown that in the case of the sufficiently small distances of the stringers nearest ends the brittle fracture condition of the elastic semi-infinite plate obviously takes place