Geodesic
Numerical Modelling of Contact Elastic-Plastic Flows
N. M. Bessonov1 ; S. F. Golovashchenko2 ; 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
Mathematical modelling of natural phenomena, Tome 4 (2009) no. 1, pp. 44-87.

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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.
DOI : 10.1051/mmnp/20094103

N. M. Bessonov 1 ; S. F. Golovashchenko 2 ; V. A. Volpert 3

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 
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N. M. Bessonov; S. F. Golovashchenko; V. A. Volpert. Numerical Modelling of Contact Elastic-Plastic Flows. Mathematical modelling of natural phenomena, Tome 4 (2009) no. 1, pp. 44-87. doi : 10.1051/mmnp/20094103. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20094103/

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