Relationship between the stress intensity and stress concentration factors for sharp and rounded notches

The method of singular integral equations is used to find the solution of the plane problem of the theory of elasticity for a plane containing an infinite V-shaped rounded notch. This enables us to establish the relationship between the stress intensity factor at the tip of the sharp V-shaped notch, the stress concentration factor for the corresponding rounded notch, and the radius of curvature at the notch tip. It is shown that the indicated relationship is not unique. Indeed, for the same curvature at the notch tip, we get different dependences for different shapes of its vicinity.