Details
| Original language | English |
|---|---|
| Pages (from-to) | 226-244 |
| Number of pages | 19 |
| Journal | Computational mechanics |
| Volume | 36 |
| Issue number | 3 |
| Publication status | Published - 14 Apr 2005 |
Abstract
In this paper two different finite element formulations for frictionless large deformation contact problems with non-matching meshes are presented. Both are based on the mortar method. The first formulation introduces the contact constraints via Lagrange multipliers, the other employs the penalty method. Both formulations differ in size and the way of fulfilling the contact constraints, thus different strategies to determine the permanently changing contact area are required. Starting from the contact potential energy, the variational formulation, the linearization and finally the matrix formulation of both methods are derived. In combination with different contact detection methods the global solution algorithm is applied to different two-dimensional examples.
Keywords
- Contact mechanics, Finite element discretization, Lagrange multiplier, Large deformations, Mortar method, Penalty method
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Ocean Engineering
- Engineering(all)
- Mechanical Engineering
- Computer Science(all)
- Computational Theory and Mathematics
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Computational mechanics, Vol. 36, No. 3, 14.04.2005, p. 226-244.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Frictionless 2D contact formulations for finite deformations based on the mortar method
AU - Fischer, K. A.
AU - Wriggers, Peter
PY - 2005/4/14
Y1 - 2005/4/14
N2 - In this paper two different finite element formulations for frictionless large deformation contact problems with non-matching meshes are presented. Both are based on the mortar method. The first formulation introduces the contact constraints via Lagrange multipliers, the other employs the penalty method. Both formulations differ in size and the way of fulfilling the contact constraints, thus different strategies to determine the permanently changing contact area are required. Starting from the contact potential energy, the variational formulation, the linearization and finally the matrix formulation of both methods are derived. In combination with different contact detection methods the global solution algorithm is applied to different two-dimensional examples.
AB - In this paper two different finite element formulations for frictionless large deformation contact problems with non-matching meshes are presented. Both are based on the mortar method. The first formulation introduces the contact constraints via Lagrange multipliers, the other employs the penalty method. Both formulations differ in size and the way of fulfilling the contact constraints, thus different strategies to determine the permanently changing contact area are required. Starting from the contact potential energy, the variational formulation, the linearization and finally the matrix formulation of both methods are derived. In combination with different contact detection methods the global solution algorithm is applied to different two-dimensional examples.
KW - Contact mechanics
KW - Finite element discretization
KW - Lagrange multiplier
KW - Large deformations
KW - Mortar method
KW - Penalty method
UR - http://www.scopus.com/inward/record.url?scp=21544478861&partnerID=8YFLogxK
U2 - 10.1007/s00466-005-0660-y
DO - 10.1007/s00466-005-0660-y
M3 - Article
AN - SCOPUS:21544478861
VL - 36
SP - 226
EP - 244
JO - Computational mechanics
JF - Computational mechanics
SN - 0178-7675
IS - 3
ER -