A consistent penalty method for contact between a deforming viscoplastic workpiece and a rigid tool

Paul R. Dawson, Donald E. Boyce, Geoffrey M. Eggert, Armand J. Beaudoin

Research output: Contribution to journalArticlepeer-review

Abstract

A methodology is presented for enforcing a contact constraint between a viscoplastic workpiece and the tooling which deforms it. The algorithm is based on a consistent penalty approach wherein an elemental discretization permits elimination of contact tractions prior to solution for the velocity field. When written in rate form, the new algorithm allows contact constraints to be embedded in a viscoplastic formulation without altering the structure of the global matrix equation. Examples are presented to illustrate its use in metal forming simulations.

Original languageEnglish (US)
Pages (from-to)3969-3987
Number of pages19
JournalInternational Journal for Numerical Methods in Engineering
Volume38
Issue number23
DOIs
StatePublished - Dec 15 1995
Externally publishedYes

Keywords

  • consistent penalty
  • contact
  • finite element
  • friction
  • metal forming
  • viscoplastic

ASJC Scopus subject areas

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics

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