| Vahid Kadymov, Evgeny Sosenushkin, Elena Yanovskaya Contact problem of complex loading of a plastic strip |
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| Abstract. The article was written from the standpoint of the averaged theory of flow in a thin plastic layer. A two-dimensional mathematical model averaged over the layer thickness is considered, within the framework of which a formulation of the boundary value problem of the spreading of a plastic layer on a plane in a region with a moving boundary is given. It examines the problem of complex loading of a plastically stretched strip, the end parts of which are in a state of plastic settlement. This simplified approach makes it possible to obtain high-quality effects inherent in the processes of plastic processing of thin structural elements. An upper estimate has been found for the total compression force of the near-end regions of a plastically stretchable strip, upon reaching which, simultaneously with the plastic stretching of the strip, plastic settling of its near-end parts occurs. And with further deformation, thinning and separation occur not in the middle-stretched part of the strip, but near the inner boundary of the contact (grip). An analysis is carried out of various modes of the process, which are determined by the values of both the total compression force at the ends and the total tensile force. It is clear that with further deformation, the strip becomes thinner and comes off, but not in its middle stretchable part, but near the inner boundary of the contact (grip). |
| Keywords: The theory of the current in the thin plastic layer, complex loading of the plates, contact pressure on the surfaces, the task of finding the boundary of the contact when spreading a piece-a-native plastic layer on the plane, the forces of contact friction |
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| DOI: https://doi.org/10.54381/itta2024.25 |