Journal
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
Volume 27, Issue 5, Pages 918-932Publisher
GAUTHIER-VILLARS/EDITIONS ELSEVIER
DOI: 10.1016/j.euromechsol.2008.01.001
Keywords
elasticity; unilateral contact; time integration schemes; energy conservation; stability; mass redistribution method
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This paper is devoted to a new method dealing with the semi-discretized finite element unilateral contact problem in elastodynamics. This problem is ill-posed mainly because the nodes on the contact surface have their own inertia. We introduce a method based on an equivalent redistribution of the mass matrix such that there is no inertia on the contact boundary. This leads to a mathematically well-posed and energy conserving problem. Finally, some numerical tests are presented. (c) 2008 Elsevier Masson SAS. All rights reserved.
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