Implementation of the Nitsche approach for various contact kinematics |
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Authors: | Ridvan Izi Alexander Konyukhov Karl Schweizerhof |
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Institution: | Institut für Mechanik, Karlsruhe Institute of Technology, Kaiserstraße 12, 76131 Karlsruhe, Germany |
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Abstract: | Numerical approaches are in case of contact problems mainly dealing with additional terms enforcing constraints. Within the Nitsche approach the inclusion of constraints for the non-penetration and equilibrium of stresses of the contacting bodies is carried out in a fully variational sense. Taking into account a specific choice and the physical meaning of the encountered Lagrange multipliers two different schemes for the Nitsche formulation are obtained. Both types of the Nitsche approach are implemented in a nonlinear element and verification with numerical examples is done. (© 2010 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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