Rigid‐plastic/rigid‐viscoplastic FE simulation using linear programming for metal forming

Abstract

SUMMARYFor rigid-plastic=rigid-viscoplastic (RP=RVP) FE simulation in metal forming processes, the linear programming (LP) approach has many remarkable advantages, compared with a normal iterative solver. This approach is free from convergence problems and is convenient for dealing with contact surfaces, rigid zones, and friction forces. In this paper, a numerical model for axisymmetrical and plane-strain analysis using RP=RVP and LP is proposed and applied to industrial metal forming. Numerical examples are provided to validate the accuracy and e ciency of the proposed method.

Algorithms and Strategies for Treatment of Large Deformation Frictional Contact in the Numerical Simulation of Deep Drawing Process

“…This problems result from the arbitrary relocation of penetrating nodes on the tool surface, outside of the iteration procedure. Such relocations are inconsistent with the Newton-Raphson equilibrium iterations [84]. In situations where one of the contacting bodies can be considered as rigid, the stability problem of this method can be overcome admitting that penetration is impossible.…”

Initial guess of rigid plastic finite element method in hot strip rolling

“…Generally, the formulation of RPFEM is based on the minimum principle of the energy functional, which solved normally by Newton-Raphson (N-R). In recent years, some new methods such as linear programming (LP) and potential reduction interior point method (PM) were proposed by Xu et al (2003) and Huang et al (2003), respectively. Compared with the N-R method, LP and PM increased the storage of memory and variables, but PM reduced the CPU time of RPFEM code, while LP increased the CPU time of RPFEM code.…”