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Vol 33 Iss. 3
Pages:
90-98
Download volume:
RUS
Article

Distribution of stresses on the contour of a rectangular hole during bending of an infinite plate

Authors:
V. N. Kozhevnikova
Date submitted:
1953-05-20
Date accepted:
1953-10-24
Date published:
1956-03-13

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 bent 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.

Область исследования:
(Archived) Articles
Keywords:
-
Funding:

None

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References

  1. Muskhelishvili N.I. Some basic problems of the mathematical theory of elasticity. Izd. AN SSSR, 1935. (in Russian)
  2. Savin G.N. Concentration of Stresses Near Small Holes in a Non-Homogeneous Stressed Plane Field. Trudy Dnepropetrovskogo inzhenerno-stroitel'nogo instituta, 1937, issue 20. (in Russian)
  3. Savin G.N. Distribution of Stresses in a Flat Field Weakened by a Hole. Proceedings of the Dnepropetrovsk Engineering and Construction Institute Trudy Dnepropetrovskogo inzhenerno-stroitel'nogo instituta, 1936, issue 10. (in Russian)
  4. Naiman M.I. Stresses in a beam with a curvilinear hole. Trudy TsAGI, 1937, issue 313. (in Russian)
  5. Lokchine A. CR, 1930, t. 190, p. 1178.

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