The tip of a blunted crack is regarded as a stress concentrator of a special kind. The investigations are performed on compact specimens made of 10MnMoNi5-5 high-ductility bainitic steel with a computerized X-ray diffractometer. The distribution of compressive residual stresses near the crack tip is established after its blunting under the conditions of plastic deformation. It is shown that these stresses should be taken into account in analyzing the local fracture of the material.