An Overview of Recent Results on Nitsche's Method for Contact Problems
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | An Overview of Recent Results on Nitsche's Method for Contact Problems |
| Type de publication | Conference Paper |
| Year of Publication | 2017 |
| Auteurs | Chouly F, Fabre M, Hild P, Mlika R, Pousin J, Renard Y |
| Editor | Bordas SPA, Burman E, Larson MG, Olshanskii MA |
| Conference Name | GEOMETRICALLY UNFITTED FINITE ELEMENT METHODS AND APPLICATIONS |
| Publisher | SPRINGER INTERNATIONAL PUBLISHING AG |
| Conference Location | GEWERBESTRASSE 11, CHAM, CH-6330, SWITZERLAND |
| ISBN Number | 978-3-319-71431-8; 978-3-319-71430-1 |
| Résumé | We summarize recent achievements in applying Nitsche's method to some contact and friction problems. We recall the setting of Nitsche's method in the case of unilateral contact with Tresca friction in linear elasticity. Main results of the numerical analysis are detailed: consistency, well-posedness, fully optimal convergence in H-1(Omega)/-norm, residual-based a posteriori error estimation. Some numerics and some recent extensions to multi-body contact, contact in large transformations and contact in elastodynamics are presented as well. |
| DOI | 10.1007/978-3-319-71431-8_4 |