Distribution of stresses on the contour of a rectangular hole during bending of an infinite plate
Abstract
The presence of holes in the elements of structures and machines is known to be the cause of redistribution of stresses, which is accompanied by a significant concentration of the latter.The proposed paper investigates the redistribution of stresses on the contour of a hole in an infinite plate bending in its plane. The redistribution is caused by a curvilinear hole with a shape very close to a rectangle. Cutouts with a midline ratio are considered (see article). The problem is treated as a plane problem. The hole is assumed to be relatively small and distant from the outer edges. The boundary conditions on the inner contour are satisfied exactly, on the outer contour, where the influence of the hole is neglected, they are satisfied only approximately.
References
- Muskhelishvili N.I. Some basic problems of the mathematical theory of elasticity. Ed. of the AS USSR, 1935.
- Savin G.N. Concentration of Stresses Near Small Holes in a Non-Homogeneous Stressed Plane Field. Proceedings of the Dnepropetrovsk Engineering and Construction Institute, 1937, issue 20.
- Savin G.N. Distribution of Stresses in a Flat Field Weakened by a Hole. Proceedings of the Dnepropetrovsk Engineering and Construction Institute, 1936, issue 10.
- Naiman M.I. Stresses in a beam with a curvilinear hole. Works of NAGI, 1937, issue 313.
- Lokchine A. CR, 1930, v. 190, р. 1178.
- Joseph J.A. and Brock J.S. Journal of Applied Mechanics, Trans. ASME, 1950, p. 353-358.