A perturbed Lagrangian formulation for the finite element solution of contact problems
Making use of a perturbed Lagrangian formulation, a finite element procedure for contact problems is developed for the general case in which node-to-node contact no longer holds. The proposed procedure leads naturally to a discretization of the contact interface into contact segments. Within the con...
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Veröffentlicht in: | Computer methods in applied mechanics and engineering 1985-08, Vol.50 (2), p.163-180 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | Making use of a perturbed Lagrangian formulation, a finite element procedure for contact problems is developed for the general case in which node-to-node contact no longer holds. The proposed procedure leads naturally to a discretization of the contact interface into
contact segments. Within the context of a bilinear interpolation for the displacement field, a mixed finite element approximation is introduced by assuming
discontinuous contact pressure,
constant on the contact segment. Because of this piece-wise constant approximation, the gap function enters into the formulation in an ‘average’ sense instead of through a point-wise definition. Numerical examples are presented that illustrate the performance of the proposed procedure. |
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ISSN: | 0045-7825 1879-2138 |
DOI: | 10.1016/0045-7825(85)90088-X |