A unified approach to problems of stress concentration near V-shaped notches with sharp and rounded tip

The paper proposes a unified approach to problems of stress concentration near notches with sharp and rounded tip based on the method of singular integral equations. A solution for an elastic region having a V-shaped notch with rounded tip of large curvature is first found. Then, the stress intensity factor at the tip of a sharp-tipped notch is calculated by passing to the limit. Numerical results are obtained for a slit and a square hole in an elastic plane and an edge notch in a half-plane __________ Translated from Prikladnaya Mekhanika, Vol. 43, No. 2, pp. 70–87, February 2007. For the centenary of the birth of G. N. Savin.