| Issue |
E3S Web Conf.
Volume 288, 2021
International Symposium “Sustainable Energy and Power Engineering 2021” (SUSE-2021)
|
|
|---|---|---|
| Article Number | 01026 | |
| Number of page(s) | 4 | |
| DOI | https://doi.org/10.1051/e3sconf/202128801026 | |
| Published online | 14 July 2021 | |
Investigation of the shapes of cuts in a plate in contact with a rigid stamp
1 Faculty of Information Technology, Atyrau Oil and Gas University, Atyrau, Kazakhstan
2 Faculty of Engineering, Atyrau Engineering Humanitarian Institute, Atyrau, Kazakhstan
* Corresponding author: chdaryn@mail.ru
A mathematical model of a contact interaction between a plate and rigid stamp is derived taking into account physical and design details. The plate is considered to have a crack, that changes its form. The problem of the contact is evaluated based on the theory of variational inequalities. The shape of the stamp is assumed to be perpendicular to the plate surface and the Poisson’s ratio is between 0 and 0.5. Analytical formulation of the study consists of transformation equation, boundary conditions and integral equation. The result is used in maximization and minimization problems for choosing extremal shape of the vertical break in the plate.
© The Authors, published by EDP Sciences, 2021
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