ABSTRACT
An axisymmetric problem of contact interaction between the edges of a circular crack in an elastic homogeneous isotropic space is considered when an absolutely rigid thin inclusion with a smooth surface is embedded into the crack. It is assumed that the shape of a part of an ellipsoid of revolution strongly flattened in the vertical direction or a thin circular disk. Solving the problem is reduced to solving the Fredholm integral equation (IE) of the first kind. Solving this IE by the collocation method in combination with the method of Gauss quadrature formulas at Chebyshev nodes is reduced to solving a system of linear algebraic equations (SLAE). The main characteristics of the problem such as normal contact stresses at the contact areas, crack opening outside the inclusion, normal breaking stresses outside the crack on its plane of location, stress intensity factors (SIF) are represented by explicit formulas. The issue of crack propagation is briefly discussed. A special case is considered.
