Rate-dependent projection operators for frictional contact constraints

Y. Araki, Keith Hjelmstad

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We develop rate-dependent regularization approaches for three-dimensional frictional contact constraints based on the Kelvin and Maxwell viscoelastic constitutive models. With the present regularization schemes, we aim to provide a basis to better model friction and to stabilize the contact analysis while keeping the contact model as simple as possible. The key feature of the regularization approaches, implemented using an implicit time integrator, is that one can recover in the limit the widely used rate-independent elastoplastic regularization framework without encountering numerical difficulties. Intermediate contact tractions are defined in terms of the relative displacement, the relative velocity, and the regularization parameters. The projection operators operate on the intermediate tractions and yield contact tractions that satisfy all the discretized contact constraints. The use of projection operators allows a systematic implementation of the present regularization schemes. Through numerical simulations, we observed that the Maxwell-type regularization effectively avoids convergence problems, even for relatively large time step sizes, while the Kelvin-type regularization does not.

Original languageEnglish (US)
Pages (from-to)923-954
Number of pages32
JournalInternational Journal for Numerical Methods in Engineering
Volume57
Issue number7
DOIs
StatePublished - Jun 21 2003
Externally publishedYes

Fingerprint

Frictional Contact
Projection Operator
Regularization
Dependent
Constitutive models
Contact
Friction
Kelvin
Computer simulation
Contact Analysis
Viscoelastic Model
Regularization Parameter
Elasto-plastic
Constitutive Model
Numerical Simulation
Three-dimensional
Model

Keywords

  • Finite element
  • Frictional contact
  • Implicit time integrator
  • Projection operator
  • Rate-dependent regularization
  • Viscoelasticity

ASJC Scopus subject areas

  • Engineering (miscellaneous)
  • Applied Mathematics
  • Computational Mechanics

Cite this

Rate-dependent projection operators for frictional contact constraints. / Araki, Y.; Hjelmstad, Keith.

In: International Journal for Numerical Methods in Engineering, Vol. 57, No. 7, 21.06.2003, p. 923-954.

Research output: Contribution to journalArticle

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