Details
| Original language | English |
|---|---|
| Pages (from-to) | 88-97 |
| Number of pages | 10 |
| Journal | Computational mechanics |
| Volume | 17 |
| Issue number | 1-2 |
| Publication status | Published - Dec 1995 |
| Externally published | Yes |
Abstract
Due to the fact that in contact problems the contact area is not known a priori, a sufficient discretization to obtain a convergent finite element solution cannot be supplied from the outset. Therefore it is necessary to use adaptive finite element methods to adjust automatically the mesh sizes not only in the bodies under consideration but also in the contact zone. In this paper we develop an adaptive method for geometrically linear contact problems, which also includes elastoplastic material behavior. The radial return algorithm is used to derive the error estimator for one time increment of the solution process. The error estimator is based on the Zienkiewicz-Zhu projection scheme, which is extended to account for the special situation in the contact interface.
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. 17, No. 1-2, 12.1995, p. 88-97.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - An adaptive finite element algorithm for contact problems in plasticity
AU - Wriggers, Peter
AU - Scherf, O.
PY - 1995/12
Y1 - 1995/12
N2 - Due to the fact that in contact problems the contact area is not known a priori, a sufficient discretization to obtain a convergent finite element solution cannot be supplied from the outset. Therefore it is necessary to use adaptive finite element methods to adjust automatically the mesh sizes not only in the bodies under consideration but also in the contact zone. In this paper we develop an adaptive method for geometrically linear contact problems, which also includes elastoplastic material behavior. The radial return algorithm is used to derive the error estimator for one time increment of the solution process. The error estimator is based on the Zienkiewicz-Zhu projection scheme, which is extended to account for the special situation in the contact interface.
AB - Due to the fact that in contact problems the contact area is not known a priori, a sufficient discretization to obtain a convergent finite element solution cannot be supplied from the outset. Therefore it is necessary to use adaptive finite element methods to adjust automatically the mesh sizes not only in the bodies under consideration but also in the contact zone. In this paper we develop an adaptive method for geometrically linear contact problems, which also includes elastoplastic material behavior. The radial return algorithm is used to derive the error estimator for one time increment of the solution process. The error estimator is based on the Zienkiewicz-Zhu projection scheme, which is extended to account for the special situation in the contact interface.
UR - http://www.scopus.com/inward/record.url?scp=0029487761&partnerID=8YFLogxK
U2 - 10.1007/BF00356481
DO - 10.1007/BF00356481
M3 - Article
AN - SCOPUS:0029487761
VL - 17
SP - 88
EP - 97
JO - Computational mechanics
JF - Computational mechanics
SN - 0178-7675
IS - 1-2
ER -