Research Article

Numerical Modelling of Contact Elastic-Plastic Flows

N. M. Bessonov^a1, S. F. Golovashchenko^a2 and V. A. Volpert^a3

^a1 Institute of the Problems of Mechanical Engineering, 199178 St.Petersburg, Russia

^a2 Manufacturing Systems Department, Ford Research Laboratory, 481214 Dearborn, USA

^a3 Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1, 69622 Villeurbanne, France

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.

(Online publication January 27 2009)

Key Words:

• continuum mechanics;
• numerical simulation;
• Wilkins' method;
• contact algorithm;
• elastic-plastic flow

Mathematics Subject Classification:

• 74C15;
• 74M15;
• 65M06

Correspondence:

^c1 nickbessonov@yahoo.com