剛塑性有限要素法による定常静水圧押出し加工のシミュレーション

概要

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Plastic deformation in steady-state hydrostatic extrusion under high fluid pressure is simulated using the rigid-plastic finite element method. To treat the boundary condition of the fluid pressure in hydrostatic extrusion, the condition of the volume constancy of the fluid is introduced into the functional using the Lagrange multiplier method. The volume constancy of the fluid is expressed as a function of the nodal velocities at the interface between the billet and the fluid for axisymmetric deformation, and the fluid pressure is obtained as a result of the minimization of the functional. Steady-state deformation in hydrostatic extrusion of rods is calculated under various extrusion ratios and half die angles. The distributions of the residual stress in the extruded rods are predicted from those of the stress in the vicinity of the die exit calculated using the rigid-plastic finite element method. The longitudinal and the radial residual stress components are in qualitative agreement with the experimentally obtained values for copper rods.
一般社団法人日本機械学会の論文
1993-12-25