Sliding of the hyperbolic cylinder along ideal plastic half-space boundary

R. I. Nepershin

Moscow State Technological University "Stankin"

Abstract: Numerical simulation of surface layer steady-state plastic flow during sliding of rigid hyperbolic cylinder along ideal plastic half-space boundary with Prandtl's contact fiction consideration is presented. Slip lines and velocities on the hodograph plane are defined by numerical integration of differential equations for stresses and velocities of plane strain plastic flow theory with Mises yield criterion. Plastic region with curved boundary before sliding cylinder is found from the steady-state plastic flow condition defined by pressure distribution on cylinder contact boundary. Loads and torque applied to cylinder, stream lines, stresses and plastic strains distributions in the plastic layer are calculated. The simulation can be used in technology of surface layer plastic work hardening to increase of machine parts wear and strength resistance.

Keywords: ideal plastic half-space, steady-state plastic flow, sliding of hyperbolic cylinder, plane strain theory, contact friction, slip lines, velocities hodograph, stream lines.

UDC: 539.374

Received: 10.09.2023
Accepted: 01.12.2023

DOI: 10.37972/chgpu.2023.57.3.001