The Influence of the Deformation Nonlinearity on Stress Concentration in Cylindrical Shells with Holes under Torsion

Author:

Kolodiazhnyi А.1,Mednikova Margarita2

Affiliation:

1. Dnipropetrovsk National University named after Oles Honchar

2. Yuzhnoe State Design Office named after M.K. Yangel

Abstract

Circular cylindrical shells, application of which is widely widespread in a space-rocket technique and aircraft building, often have cutouts on the surface on structural and technological terms. The feature of the stress-strain state, when a circular hole is introduced into the shell, is the appearance of stress concentration zones, in which stress can be increased in many times. The linear static analysis often used for determination of maximal stresses in such elements of constructions does not reflect character of stresses change with increasing of the external loading. The results of Finite-Elements nonlinear static analysis of the stresses concentration caused by the hole presence depending on the size of torsion moment increasing from zero to the maximal values are presented in this article. The parametric analysis for the wide range of shells lengths and hole radii is carried out, at which different combinations the dependences of stresses concentration factor (SCF) on the value of torsion moment on all range of loading are defined. It is shown that the stresses fields, unlike the linear model of deformation, transform in the loading process. SCF obtained by taking into account the geometrical nonlinearity of deformation depends not only on the geometrical parameters of the considered sample, but also on the level of loading. There are two types of behavior of SCF dependence on the loading level and on the structure parameters. The SCF increases continuously in the first half of loading range. In the second half in case of the small holes the monotonous growth proceeds to the maximal values, and for the large holes ‒ SCF can fall at load increasing, and sometimes has the repeated areas of intensive growth in the pre-ultimate state.

Publisher

Trans Tech Publications, Ltd.

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science

Reference19 articles.

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2. Lurie А. I. Stress concentration in the region of circular hole on surface circular cylinder / А. I. Lurie // Appl. Math. and Mech. – 1946. – V. 10. – No3. – P.307–406. (in Russian).

3. Withum D. Die Kreiszylinderschale mit Kreisformigen Ausschnitt unter Schubbeanspruchung / D. Withum // Ingenieur–Archiv. – Heft 26. – 1958. – P. 435–446.

4. Van Dyke P. Stresses about a Circular Hole in a Cylindrical Shell / P. Van Dyke // AIAA Journ. – 1965. – Vol. 3. – No9. – P.1733–1742.

5. Lekkerkerker J. G. On the Stress Distribution in Cylindrical Shells Weakened by a Circular Hole /J. G. Lekkerkerker // Ph.D. Dissertation, Technological University, Delft, The Netherlands, 1965. – 78 р.

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Cylindrical shell with a circular hole under various loads: Comparison of analytical and numerical solutions;Izvestiya of Saratov University. Mathematics. Mechanics. Informatics;2023-05-22

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