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JOURNALS // Vestnik Chuvashskogo Gosudarstvennogo Pedagogicheskogo Universiteta im. I. Ya. Yakovleva. Seriya: Mekhanika Predel'nogo Sostoyaniya // Archive

Vestn. Chuvash. Gos. Ped. Univ. im.I.Ya. Yakovleva Ser.: Mekh. Pred. Sost., 2024 Issue 3(61), Pages 43–59 (Mi mps86)

Cylinder transverse compression by the dies with curvilinear smooth boundary

R. I. Nepershin

Moscow State Technological University "Stankin"

Abstract: Computer simulation of the rigid-plastic cylinder transverse compression by the dies with smooth boundaries is presented using plane strain ideal plastic theory. Final stage of cylinder plastic deformation by the dies with smooth concave-convex boundary and continuous velocity field is considered. Filling of the die cavity on the concave boundary part takes place without slip on this boundary at the main part of cylinder plastic deformation, and it is simulated using Prandtl's slip lines and velocity field with velocity discontinues on the rigid-plastic boundaries. But with approach to the final deformation stage slip on the convex die boundary begins, with continuous slip lines and velocity fields and decrease of the rigid region to zero at the final stage. The computer simulation can be used for the limit loads estimation in the case of cylinder transverse plastic compression by the dies with curvilinear smooth boundary, and forging of the parts with curved profiles on technological pressure equipment.

Keywords: cylinder plastic transverse compression, curved smooth dies, ideal plasticity, plane strain, slip lines, velocities, contact pressure, contact friction, limit load, forging by curved dies.

UDC: 539.374

Received: 15.03.2024
Revised: 24.12.2024
Accepted: 29.11.2024

DOI: 10.37972/chgpu.2024.61.3.005



© Steklov Math. Inst. of RAS, 2026