| Issue |
EPJ Web Conf.
Volume 224, 2019
IV International Conference “Modeling of Nonlinear Processes and Systems” (MNPS-2019)
|
|
|---|---|---|
| Article Number | 01001 | |
| Number of page(s) | 5 | |
| Section | Mathematical Methods in Physics | |
| DOI | https://doi.org/10.1051/epjconf/201922401001 | |
| Published online | 09 December 2019 | |
https://doi.org/10.1051/epjconf/201922401001
Plastic Flow in a Thin Layer: New Formulation of the Boundary-Value Problem and Its Solution
1
Moscow State University of Humanities and Economics, RU-107150 Moscow, Russia
2
Moscow State Technological University “STANKIN”, RU-127055, Moscow, Russia
* e-mail: vkadymov@yandex.ru
Published online: 9 December 2019
The paper is dedicated to the theory of flow in a thin plastic layer that has numerous applications in calculations of technological processes of material treatment by pressure, such as stamping and pressing of thin-walled structural elements, thin-sheet rolling, and others. Two-dimensional, averaged over the thickness of the layer mathematical formulation of the contact boundary value problem of the spreading of a plastic layer on the plane has been examined. In the framework of the general “viscous liquid” model, an approximate analytical solution has been obtained and evaluated against measurements. This solution is in good agreement with the experimental results in the area far from the free boundary and the central part of the sample.
© The Authors, published by EDP Sciences, 2019
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