Issue |
E3S Web Conf.
Volume 515, 2024
International Scientific Conference Transport Technologies in the 21st Century (TT21C-2024) “Actual Problems of Decarbonization of Transport and Power Engineering: Ways of Their Innovative Solution”
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Article Number | 03006 | |
Number of page(s) | 9 | |
Section | Low Carbon Mobility and Logistics | |
DOI | https://doi.org/10.1051/e3sconf/202451503006 | |
Published online | 12 April 2024 |
The stress state of a plate with several holes under the action of axial tensile load
Tyumen Industrial University, Volodarsky St., 38, Tyumen, 625000, Russia
* Corresponding author: kazarinov.yury@yandex.ru
The purpose of the research is to develop a numerical method for determining the stress state of plates with several holes. The research approach is based on the development of the superposition method for singular solutions. The study objective is to solve a practical problem of determining the stress concentration coefficients in a plate with two holes of the same diameter. The study uses the numerical method of elasticity theory in the form of a superposition of four special solutions, each of which lies entirely within the corresponding hole contour. The resulting contour integrals in the displacement formula are replaced by their approximate values using the M-point trapezoidal formula or the Gaussian quadrature formula. Equating to zero the expression in variations of unknown constants (the principle of minimum potential strain energy), we have obtained a system of linear algebraic equations 4MN of unknown distribution densities. After determining the constants using known formulas, the stress-strain state of the plate with holes can be calculated. The error of the developed method is no more than 0.6% compared to the known solution.
© The Authors, published by EDP Sciences, 2024
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