A Numerical Method for the Analysis of Plane-Strain Forming Processes with Unilateral Constraints

Alberti, N.; Cannizzaro, L.; Riccobono, R.

doi:10.1016/s0007-8506(07)63396-4

Cited by 8 publications

(2 citation statements)

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“…Equation (20) means that during the forming process, the node i can remain in contact or leave contact, but it cannot penetrate the die. Such a type of constraint condition can be assembled as Here [D 1 ] is no longer a Boolean matrix as expressed in the Alberti and Riccobono papers [3][4][5]. When the left side term in (21) is greater than the right side term after a solution, the node i must be set free for the next incremental step.…”

Section: Boundary Constraint Conditionsmentioning

confidence: 99%

“…Turgeman and Pastor [1,2] proposed a method for linearizing von Mises yield surfaces for axisymmetrical problems and applied LP to limit analysis of RP=RVP metal forming problem. Alberti [3,4] proposed the treatment of contact and friction forces for LP-based RP=RVP FEM and analysed some simple plane-strain and axisymmetrical forming processes. A comparison of this method with the normal RP=RVP FEM for metal forming simulation was presented by Riccobono [5].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

Thomson

2002

Numerical Meth Engineering

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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.

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Section: Boundary Constraint Conditionsmentioning

confidence: 99%