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The Effect of Circular Hole on Stress-Strain State of Uniformly Stretched Plate

Abstract

The analysis of plates and shells, which are elements of different structures implies the elastic behavior of their stress-strain state. In some cases, off-design operation mode of structures leads to abnormal stress redistribution, which in some areas arises from plastic deformation. Such stress concentrators are different-purpose round and oval holes with welded spigots and taps, holes for rivets and bolts, various cut-outs, rigid inclusions, weld seams, etc. Therefore, a detailed stress-strain analysis is required for these zones when designing and calculating the structural strength. The paper presents two-dimensional analysis of the problem and three-dimensional computations using the variation difference method. Geometrical correlations are presented by Cauchy equations. Physical relations are assumed as non-linear and described by Ilyushin’s deformation plasticity theory, although in solving the displacement problem the live load does not result in plastic deformations.

About the Author

Vladimir N. Barashkov
Tomsk State University of Architecture and Building
Russian Federation


References

1. Barashkov V.N., Matveenko A.A. Modelirovanie prostranstvennogo napryazhenno-deformirovannogo sostoyaniya balki-stenki [Spatial stress-strain state modeling for wall beam]. Vestnik of Tomsk State University of Architecture and Building. 2010. No. 3. Pp. 92–104. (rus)

2. Ilyushin A.A. Plastichnost' [Plasticity]. Moscow, Leningrad: OGIZ Publ., 1948. 376 p. (rus)

3. Barashkov V.N. Chislennoe modelirovanie trekhmernogo uprugoplasticheskogo deformirovaniya sektorov vedushchego ustroistva [Numerical simulation of three-dimensional elastoplastic deformation of the sectors leading devices]. Izvestiya Tomskogo politekhnicheskogo universiteta. 2004. V. 307. No. 4. Pp. 22–27. (rus)

4. Timoshenko S.P. Teoriya uprugosti [Theory of elasticity]. Moscow, Leningrad: ONTI Publ., 1937. 456 p. (rus)


Review

For citations:


Barashkov V.N. The Effect of Circular Hole on Stress-Strain State of Uniformly Stretched Plate. Vestnik of Tomsk state university of architecture and building. 2017;(5):135-142. (In Russ.)

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ISSN 1607-1859 (Print)
ISSN 2310-0044 (Online)