Details
| Original language | English |
|---|---|
| Pages (from-to) | 473-498 |
| Number of pages | 26 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 42 |
| Issue number | 3 |
| Publication status | Published - 15 Jun 1998 |
| Externally published | Yes |
Abstract
In this paper a further method is presented to solve problems involving contact mechanics. The basic idea is related to a special modification of the unconstrained functional to include inequality constraints. The modification is constructed in such a way that minimal point of the unconstrained potential can be exactly shifted to the constraint limit. Moreover, the functional remains smooth and the admissible range of the solution is not restricted. The solution search process with iterative techniques takes advantage from these features. In fact, due to a better control of gap status changes, a more stable solution path with respect to other methods is usually obtained. The characteristics of the method are evidenced and compared to other classical techniques, like penalty and barrier methods. The finite element discretization of the proposed method is included and some numerical applications are shown.
Keywords
- Barrier, Constrained minimisation, Cross-constraints, Finite element, Penalty
ASJC Scopus subject areas
- Mathematics(all)
- Numerical Analysis
- Engineering(all)
- Mathematics(all)
- Applied Mathematics
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In: International Journal for Numerical Methods in Engineering, Vol. 42, No. 3, 15.06.1998, p. 473-498.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A method for solving contact problems
AU - Zavarise, G.
AU - Wriggers, Peter
AU - Schrefler, B. A.
PY - 1998/6/15
Y1 - 1998/6/15
N2 - In this paper a further method is presented to solve problems involving contact mechanics. The basic idea is related to a special modification of the unconstrained functional to include inequality constraints. The modification is constructed in such a way that minimal point of the unconstrained potential can be exactly shifted to the constraint limit. Moreover, the functional remains smooth and the admissible range of the solution is not restricted. The solution search process with iterative techniques takes advantage from these features. In fact, due to a better control of gap status changes, a more stable solution path with respect to other methods is usually obtained. The characteristics of the method are evidenced and compared to other classical techniques, like penalty and barrier methods. The finite element discretization of the proposed method is included and some numerical applications are shown.
AB - In this paper a further method is presented to solve problems involving contact mechanics. The basic idea is related to a special modification of the unconstrained functional to include inequality constraints. The modification is constructed in such a way that minimal point of the unconstrained potential can be exactly shifted to the constraint limit. Moreover, the functional remains smooth and the admissible range of the solution is not restricted. The solution search process with iterative techniques takes advantage from these features. In fact, due to a better control of gap status changes, a more stable solution path with respect to other methods is usually obtained. The characteristics of the method are evidenced and compared to other classical techniques, like penalty and barrier methods. The finite element discretization of the proposed method is included and some numerical applications are shown.
KW - Barrier
KW - Constrained minimisation
KW - Cross-constraints
KW - Finite element
KW - Penalty
UR - http://www.scopus.com/inward/record.url?scp=0032100095&partnerID=8YFLogxK
U2 - 10.1002/(SICI)1097-0207(19980615)42:3<473::AID-NME367>3.0.CO;2-A
DO - 10.1002/(SICI)1097-0207(19980615)42:3<473::AID-NME367>3.0.CO;2-A
M3 - Article
AN - SCOPUS:0032100095
VL - 42
SP - 473
EP - 498
JO - International Journal for Numerical Methods in Engineering
JF - International Journal for Numerical Methods in Engineering
SN - 0029-5981
IS - 3
ER -