Vakhonina L. The research of the stress concentration near thin circular inclusions under the dynamic loading.

The method of the research of the stress concentration in elastic bodies near thin disc-shaped inclusions as a result of the action of the steady state axis symmetrical wave fields is constructed in the Thesis. Different conditions between a matrix and an inclusion are considered: full coupling, partial exfoliating on one side, partial exfoliating on both sides. Taking into consideration small thickness of the inclusion the boundary conditions concerning its middle plane are formulated. In case of an elastic inclusion the bent and shift displacement of this plane is defined with the help of the equation of the theory of thin plates. If the inclusion is rigid then for the definition of its displacements the equations of motion of the rigid body are used. With the help the discontinuous solution of equations of torsion oscillations and the Lame equations in the conditions of axis symmetry boundary problems are reduced to the integral equations concerning the jumps of stresses and displacements on the inclusion which are reduced to the form which allows an effective numerical solution. These solutions are the basis for obtaining the formulae to calculate the stress intensity factors in the matrix near the inclusion. The detailed analysis of the dependence of the SIF on the frequency of oscillations and relative rigidity of the inclusion is carried out