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Issue Math. Model. Nat. Phenom.
Volume 4, Number 1, 2009
Modelling and numerical methods in contact mechanics
Page(s) 44 - 87
DOI 10.1051/mmnp/20094103
Published online 27 January 2009

Math. Model. Nat. Phenom. Vol. 4, No. 1, 2009, pp. 44-87
DOI: 10.1051/mmnp/20094103

Numerical Modelling of Contact Elastic-Plastic Flows

N. M. Bessonov1, S.F. Golovashchenko2 and V.A. Volpert3

1  Institute of the Problems of Mechanical Engineering, 199178 St.Petersburg, Russia
2  Manufacturing Systems Department, Ford Research Laboratory, 481214 Dearborn, USA
3  Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1, 69622 Villeurbanne, France

nickbessonov@yahoo.com

Published online: 27 January 2009

Abstract
Wilkins' method has been successfully used since early 60s for numerical simulation of high velocity contact elastic-plastic flows. The present work proposes some effective modifications of this method including more sophisticated material model including the Baushinger effect; modification of the algorithm based on correction of the initial configuration of a solid; a contact algorithm based on the idea of a mild contact.


Mathematics Subject Classification. 74C15, 74M15, 65M06

Key words: continuum mechanics -- numerical simulation -- Wilkins' method -- contact algorithm -- elastic-plastic flow


© EDP Sciences 2009


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