Menshykova M. The asymmetrical dynamic problem for plane with a finite length rectilinear crack with allowance for crack's edges contact interaction

The Thesis is devoted to solution of the problem of mechanics of deformable solid for body with crack with allowance for cracks' edges contact interactions. The problem is the asymmetrical problem for two-dimensional linearly elastic, homogeneous and isotropic body with a finite length rectilinear crack under arbitrary angle action of harmonic tension-compression wave. The problem was solved by the boundary elements method using iteration algorithm based on variation principles of dynamic theory of elasticity. Distribution of the vector of forces of contact interaction and the vector of displacement discontinuity on the crack's surface were investigated. The dependence stress intensity factors in the vicinity of the crack's apex on wave number, angle of wave incidence and friction coefficient were considered. The comparison with results obtained without taking into account the crack's edges contact interaction was done.