Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 163-180 |
| Seitenumfang | 18 |
| Fachzeitschrift | Computer Methods in Applied Mechanics and Engineering |
| Jahrgang | 50 |
| Ausgabenummer | 2 |
| Publikationsstatus | Veröffentlicht - Aug. 1985 |
| Extern publiziert | Ja |
Abstract
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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in: Computer Methods in Applied Mechanics and Engineering, Jahrgang 50, Nr. 2, 08.1985, S. 163-180.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - A perturbed Lagrangian formulation for the finite element solution of contact problems
AU - Simo, Juan C.
AU - Wriggers, Peter
AU - Taylor, Robert L.
PY - 1985/8
Y1 - 1985/8
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0022107764&partnerID=8YFLogxK
U2 - 10.1016/0045-7825(85)90088-X
DO - 10.1016/0045-7825(85)90088-X
M3 - Article
AN - SCOPUS:0022107764
VL - 50
SP - 163
EP - 180
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
IS - 2
ER -