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A consistent penalty method for contact between a deforming viscoplastic workpiece and a rigid tool
Author(s) -
Dawson Paul R.,
Boyce Donald E.,
Eggert Geoffrey M.,
Beaudoin Armand J.
Publication year - 1995
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620382305
Subject(s) - viscoplasticity , discretization , penalty method , constraint (computer aided design) , field (mathematics) , contact mechanics , matrix (chemical analysis) , mathematics , mathematical optimization , computer science , mathematical analysis , finite element method , materials science , structural engineering , engineering , geometry , constitutive equation , composite material , pure mathematics
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.