A time-stepping algorithm for non-smooth friction models

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Authors

External Research Organisations

  • University of Newcastle
  • Universite d' Evry Val d'Essonne
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Details

Original languageEnglish
Publication statusPublished - 2004
EventEuropean Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004 - Jyvaskyla, Finland
Duration: 24 Jul 200428 Jul 2004

Conference

ConferenceEuropean Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004
Country/TerritoryFinland
CityJyvaskyla
Period24 Jul 200428 Jul 2004

Abstract

In this paper, we present a solution algorithm for frictional contact problems involving a non-smooth friction criterion in the contact plane. The algorithm, based on the Uzawa method, follows a predictor/corrector strategy. The first step gives a prediction of the displacements and is obtained by solving the equilibrium equations. The reactions are computed in a second step following a local scheme. The friction condition considered in this paper has a diamond-like shape. The algorithm which does not require the differentiability of the friction criterion is tested on an example. The effect of the friction criterion shape is clearly displayed.

Keywords

    Non-smooth friction criterion, Uzawa technique, Variational formulation

ASJC Scopus subject areas

Cite this

A time-stepping algorithm for non-smooth friction models. / Hjiaj, M.; Fengt, Z. Q.; Krabbenhoft, K. et al.
2004. Paper presented at European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004, Jyvaskyla, Finland.

Research output: Contribution to conferencePaperResearchpeer review

Hjiaj, M, Fengt, ZQ, Krabbenhoft, K & Wriggers, P 2004, 'A time-stepping algorithm for non-smooth friction models', Paper presented at European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004, Jyvaskyla, Finland, 24 Jul 2004 - 28 Jul 2004.
Hjiaj, M., Fengt, Z. Q., Krabbenhoft, K., & Wriggers, P. (2004). A time-stepping algorithm for non-smooth friction models. Paper presented at European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004, Jyvaskyla, Finland.
Hjiaj M, Fengt ZQ, Krabbenhoft K, Wriggers P. A time-stepping algorithm for non-smooth friction models. 2004. Paper presented at European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004, Jyvaskyla, Finland.
Hjiaj, M. ; Fengt, Z. Q. ; Krabbenhoft, K. et al. / A time-stepping algorithm for non-smooth friction models. Paper presented at European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2004, Jyvaskyla, Finland.
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AU - Hjiaj, M.

AU - Fengt, Z. Q.

AU - Krabbenhoft, K.

AU - Wriggers, Peter

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N2 - In this paper, we present a solution algorithm for frictional contact problems involving a non-smooth friction criterion in the contact plane. The algorithm, based on the Uzawa method, follows a predictor/corrector strategy. The first step gives a prediction of the displacements and is obtained by solving the equilibrium equations. The reactions are computed in a second step following a local scheme. The friction condition considered in this paper has a diamond-like shape. The algorithm which does not require the differentiability of the friction criterion is tested on an example. The effect of the friction criterion shape is clearly displayed.

AB - In this paper, we present a solution algorithm for frictional contact problems involving a non-smooth friction criterion in the contact plane. The algorithm, based on the Uzawa method, follows a predictor/corrector strategy. The first step gives a prediction of the displacements and is obtained by solving the equilibrium equations. The reactions are computed in a second step following a local scheme. The friction condition considered in this paper has a diamond-like shape. The algorithm which does not require the differentiability of the friction criterion is tested on an example. The effect of the friction criterion shape is clearly displayed.

KW - Non-smooth friction criterion

KW - Uzawa technique

KW - Variational formulation

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Y2 - 24 July 2004 through 28 July 2004

ER -

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