Simulation of the force regime for lateral extrusion in a die with rounded areas
Abstract
Levchenko V., Aliieva L., Abhari P., Titov A., Chepelenko O.
Simulation of the force regime for lateral extrusion in a die with rounded areas.
A triangular curvilinear kinematic module for simulating the force mode of the lateral extrusion process by the upper bound method was developed, which allowed to estimate the influence of the geometric parameters of the profiled dies on the deformation pressure. In the paper, the properties and possibilities of the triangular curvilinear module for the analysis of the process of transverse lateral extrusion of the ledge in a die with a rounded transition area were considered. It was found that the curvilinear module does not have the property of inversion. To determine the reduced die opening pressure at the transition edge of the die for the curvilinear module, the approach of implementation of the half-die virtual movement and obtaining the function, applying equation of the power balance on the kinematically possible movement speeds was used. The technique of developing a velocity hodograph and obtaining calculation formulas for both deformation pressures and opening pressures of dies with rounded sections is described. Graphical analysis of the dependences of reduced deformation pressures and die opening pressures showed that the parameter – the relative thickness of the process h/Rm, which characterizes the degree of metal compression on the transitional rounded edge of the die, has the greatest influence on the pressure level. The optimization parameter was the angle β, which corresponded to the position of the velocity break line at the exit from the deformation zone. For engineering calculations of power modes, simplified formulas, that adequately describe the influence of technological parameters, were proposed. Recommendations for calculating force parameters of extrusion with using the proposed triangular curvilinear module can be applied for the design of extrusion processes of both parts with ledges and hollow products with tools having rounded shape-forming surfaces.
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