Details
| Original language | English |
|---|---|
| Pages (from-to) | 837-847 |
| Number of pages | 11 |
| Journal | Computational mechanics |
| Volume | 52 |
| Issue number | 4 |
| Publication status | Published - 30 Mar 2013 |
Abstract
The numerical simulation of contact problems is nowadays a standard procedure in many engineering applications. The contact constraints are usually formulated using either the Lagrange multiplier, the penalty approach or variants of both methodologies. The aim of this paper is to introduce a new scheme that is based on a space filling mesh in which the contacting bodies can move and interact. To be able to account for the contact constraints, the property of the medium, that imbeds the bodies coming into contact, has to change with respect to the movements of the bodies. Within this approach the medium will be formulated as an isotropic/anisotropic material with changing characteristics and directions. In this paper we will derive a new finite element formulation that is based on the above mentioned ideas. The formulation is presented for large deformation analysis and frictionless contact.
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. 52, No. 4, 30.03.2013, p. 837-847.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A finite element method for contact using a third medium
AU - Wriggers, P.
AU - Schröder, J.
AU - Schwarz, A.
PY - 2013/3/30
Y1 - 2013/3/30
N2 - The numerical simulation of contact problems is nowadays a standard procedure in many engineering applications. The contact constraints are usually formulated using either the Lagrange multiplier, the penalty approach or variants of both methodologies. The aim of this paper is to introduce a new scheme that is based on a space filling mesh in which the contacting bodies can move and interact. To be able to account for the contact constraints, the property of the medium, that imbeds the bodies coming into contact, has to change with respect to the movements of the bodies. Within this approach the medium will be formulated as an isotropic/anisotropic material with changing characteristics and directions. In this paper we will derive a new finite element formulation that is based on the above mentioned ideas. The formulation is presented for large deformation analysis and frictionless contact.
AB - The numerical simulation of contact problems is nowadays a standard procedure in many engineering applications. The contact constraints are usually formulated using either the Lagrange multiplier, the penalty approach or variants of both methodologies. The aim of this paper is to introduce a new scheme that is based on a space filling mesh in which the contacting bodies can move and interact. To be able to account for the contact constraints, the property of the medium, that imbeds the bodies coming into contact, has to change with respect to the movements of the bodies. Within this approach the medium will be formulated as an isotropic/anisotropic material with changing characteristics and directions. In this paper we will derive a new finite element formulation that is based on the above mentioned ideas. The formulation is presented for large deformation analysis and frictionless contact.
UR - http://www.scopus.com/inward/record.url?scp=84885331341&partnerID=8YFLogxK
U2 - 10.1007/s00466-013-0848-5
DO - 10.1007/s00466-013-0848-5
M3 - Article
AN - SCOPUS:84885331341
VL - 52
SP - 837
EP - 847
JO - Computational mechanics
JF - Computational mechanics
SN - 0178-7675
IS - 4
ER -