Details
| Original language | English |
|---|---|
| Pages (from-to) | 163-180 |
| Number of pages | 18 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 50 |
| Issue number | 2 |
| Publication status | Published - Aug 1985 |
| Externally published | Yes |
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.
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
- General Physics and Astronomy
- Computer Science(all)
- Computer Science Applications
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In: Computer Methods in Applied Mechanics and Engineering, Vol. 50, No. 2, 08.1985, p. 163-180.
Research output: Contribution to journal › Article › Research › 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 -