Computer simulation of the effect of an annular inclusion from a functionally graded material on the stress concentration around a circular hole in thin plates and cylindrical shells

Authors

DOI:

https://doi.org/10.15407/dopovidi2023.02.037

Keywords:

thin elastic plate, thin-walled cylindrical shell, circular hole, functionally graded material, annular inclusion, stress-strain state, stress concentration factor, finite element method

Abstract

Computer modelling and FEM analysis of the stress-strain state of thin plates and thin-walled cylindrical shells with a circular hole in the presence of a surrounding ring inclusion of a functionally graded material (FGM) is carried out. The influence of the dimensions of the FGM inclusion and the law of change of its elastic modulus on the concentration of the parameters of the stress-strain state of plates and shells in the vicinity of the hole is studied. The distribution fields of stress and strain intensities of plate-shell structural elements in the zones of local stress concentration are obtained. It has been established that when using an annular FGM inclusion with specific mechanical properties and geometric parameters, it is possible to reduce the stress concentration factor and the corresponding strain intensities in the vicinity of the hole by more than 35%. The law of change in the modulus of elasticity of the FGM inclusion and the width of the inclusion has a significant effect not only on the concentration of the parameters of the stress-strain state of the plate and shell but also on the nature of the stress distribution over their surfaces. The results of a series of large-scale computational experiments show that the use of an annular inclusion made of FGM makes it possible to reduce the intensity of both stresses and deformations around the hole, which opens up prospects for finding rational parameters of inclusions from the point of view of the maximum possible reduction in local stress concentration.

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References

Avdonin, A. S. (1969). Applied methods for calculating shells and thin-walled structures. Moscow: Nauka (in Russian).

Peterson, R. (1977). Stress concentration factors. Moscow: Mir (in Russian).

Savin, G. N. (1968). Stress distribution around holes. Kyiv: Naukova Dumka (in Russian).

Guz, A. N., Chernyshenko, I. S. & Chekhov, Val. N. et al. (1980). Methods for calculating shells. In 5 vols. Vol. 1. Theory of thin shells, weakened by holes. Kyiv: Naukova Dumka (in Russian).

Hart, E. L. & Terokhin, B. I. (2019). Choice of rational parameters of reinforcement elements in computer simulation of behavior of a cylindrical shell with two rectangular holes. Probl. Comput. Mechan. and Strength Struct.: Col. of sci. art. Dnipro: Lira, 30, pp. 19-32 (in Ukrainian). https://doi.org/10.15421/4219024

Hart, E. L., Hudramovich, V. S. & Terokhin, B. I. (2022). Effect of a functionally graded material inclusion on the stress concentration in thin plates and cylindrical shells with a circular opening. Techn. Mechan., No. 4, pp. 67-78 (in Ukrainian). http://journal-itm.dp.ua/ENG/Publishing/06-04-2022_eng.html

Hart, E. L. & Hudramovich, V. S. (2022). Computer simulation of the stress-strain state of plates with reinforced elongate rectangular holes of various orientations. Strength Mater. and Theor. Struct.: Sci. and Techn. col. art. Kyiv: KNUBA, Iss. 108, pp. 77-86. https://doi.org/10.32347/2410-2547.2022.108.77-86

Hart, E. L. & Terokhin, B. I. (2021). Computer simulation of the stress-strain state of the plate with circular hole and functionally graded inclusion. J. Optimization, Differential Equations and their Applications, 29, Iss. 1, pp. 42-53. https://doi.org/10.15421/142103

Gudramovich, V. S., Gart, É. L. & Strunin, K. А. (2017). Modeling of the behavior of plane-deformable elastic media with elongated elliptic and rectangular inclusions. Mater. Sci., 52, Iss. 6, pp. 768-774. https://doi.org/10.1007/s11003-017-0020-z

Hudramovich, V. S, Hart, E. L. & Marchenko, O. A. (2020). Reinforcing inclusion effect on the stress concen- tration within the spherical shell having an elliptical opening under uniform internal pressure. Strength Ma- ter., 52, No. 6, pp. 832–842. https://doi.org/10.1007/s11223-021-00237-7

Aizikovich, S. М. [et al.] (2011). Analytical solutions of mixed axisymmetric problems for functionally graded media. Moscow: FIZMATLIT (in Russian). ISBN 978-5-9221-1299-4.

Yang, Q. Q., Gao, C. F. & Chen, W. T. (2012). Stress concentration in a finite functionally graded material plate. Sci. China Phys. Mech. Astron., 55, pp. 1263-1271. https://doi.org/10.1007/s11433-012-4774-x

Linkov, A. & Rybarska-Rusinek, L. (2012). Evaluation of stress concentration in multi-wedge systems with functionally graded wedges. Intern. J. Engng Sci., 61, pp. 87-93. https://doi.org/10.1016/j.ijengsci.2012.06.012

Kubair, D. V. & Bhanu-Chandar, B. (2008). Stress concentration factor due to a circular hole in functionally graded panels under uniaxial tension. Intern. J. Mech. Sci., 50, Iss. 4, pp. 732-742. https://doi.org/10.1016/j.ijmecsci.2007.11.009

Mohammadi, M., Dryden, J. R. & Jiang, L. (2011). Stress concentration around a hole in a radially inhomo- geneous plate. Intern. J. Solids Structures, 48, Iss. 3-4, pp. 483-491. https://doi.org/10.1016/j.ijsolstr.2010.10.013

Published

03.05.2023

How to Cite

Hart, E. . ., & Terokhin, B. (2023). Computer simulation of the effect of an annular inclusion from a functionally graded material on the stress concentration around a circular hole in thin plates and cylindrical shells. Reports of the National Academy of Sciences of Ukraine, (2), 37–46. https://doi.org/10.15407/dopovidi2023.02.037

Section

Mechanics