Study of perforated plates stretching by finite element method

Authors

  • O. G. Kutsenko Taras Shevchenko National University of Kyiv
  • A. G. Kutsenko National University of Life and Environmental Sciences of Ukraine, 03041, Kyiv, Heroyiv Oborony str., 12 https://orcid.org/0000-0003-1808-6773
  • L. V. Kharytonova National Transport University, 01010, Kyiv, M. Omelianovycha-Pavlenka str., 1

DOI:

https://doi.org/10.17721/1812-5409.2021/3.8

Keywords:

double-periodic, perforated plate, tension

Abstract

The problem of axial stretching of a plate with a double-periodic system of round holes arranged in a checkerboard pattern is considered. The specified problem is reduced to elasticity second problem for one period of plate, which was solved by the finite element method. As a result, the reduced elastic characteristics of the equivalent homogeneous orthotropic plate are found. The analysis of their behavior depending on dimensionless geometrical parameters is carried out. The area of variation of the geometric parameters was divided into two subareas. The behavior of the equivalent elastic characteristics in these areas is significantly different. It turned out that the double-periodic perforated plate shows significantly anisotropic behavior. The limit values of the Poisson's ratios can reach unity and, on the other hand, may be less than the original value. Dependences of the stress concentration coefficient on dimensionless geometrical parameters are obtained too. Performed comparative analysis of the obtained results with the results known from the literature, confirmed their adequacy.

Pages of the article in the issue: 55 - 58

Language of the article: Ukrainian

References

FILSHTINSKY, L.A. (1964) Napryazheniya i smescheniya v uprugoy ploskosti, oslablennoy dvoyakoperiodicheskoy sistemoy odinakovyih kruglyih otverstiy. Journal of Applied Mathematics and Mechanics. 28(3). p. 430–441.

GRIGOLUK, E.I. and FILSHTINSKY, L.A. (1970) Perforirovannyie plastinyi i obolochki. Moskva: Nauka.

DHONDT, G. (2004) The Finite Element Method for Three-Dimensional Thermomechanical Applications. Hoboken: Wiley.

(2020) A Free Software Three-Dimensional Structural Finite Element Program. Available from: https://www.calculix.de.

LEKHNITSKII, S.H. (1957) Anizotropnye plastinki, Moskva: Hostekhizdat.

No 3 (2021)

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Published

2021-12-07

How to Cite

Kutsenko, O. G., Kutsenko, A. G., & Kharytonova, L. V. (2021). Study of perforated plates stretching by finite element method. Bulletin of Taras Shevchenko National University of Kyiv. Physical and Mathematical Sciences, (3), 55–58. https://doi.org/10.17721/1812-5409.2021/3.8

Issue

No. 3 (2021)

Section

Differential equations, mathematical physics and mechanics

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