Details
| Original language | English |
|---|---|
| Pages (from-to) | 131-144 |
| Number of pages | 14 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 54 |
| Issue number | 2 |
| Publication status | Published - Feb 1986 |
| Externally published | Yes |
Abstract
The merits and limitations of some existing procedures for the solution of contact problems, modeled by the finite element method, are examined. Based on the Lagrangian multiplier method, a partitioning scheme can be used to obtain a small system of equation for the Lagrange multipliers which is then solved by the conjugate gradient method. A two-level contact algorithm is employed which first linearizes the nonlinear contact problem to obtain a linear contact problem that is in turn solved by the Newton method. The performance of the algorithm compared to some existing procedures is demonstrated on some test problems.
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
- Computer Science(all)
- Computer Science Applications
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In: Computer Methods in Applied Mechanics and Engineering, Vol. 54, No. 2, 02.1986, p. 131-144.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A two-level iteration method for solution of contact problems
AU - Nour-Omid, Bahram
AU - Wriggers, Peter
PY - 1986/2
Y1 - 1986/2
N2 - The merits and limitations of some existing procedures for the solution of contact problems, modeled by the finite element method, are examined. Based on the Lagrangian multiplier method, a partitioning scheme can be used to obtain a small system of equation for the Lagrange multipliers which is then solved by the conjugate gradient method. A two-level contact algorithm is employed which first linearizes the nonlinear contact problem to obtain a linear contact problem that is in turn solved by the Newton method. The performance of the algorithm compared to some existing procedures is demonstrated on some test problems.
AB - The merits and limitations of some existing procedures for the solution of contact problems, modeled by the finite element method, are examined. Based on the Lagrangian multiplier method, a partitioning scheme can be used to obtain a small system of equation for the Lagrange multipliers which is then solved by the conjugate gradient method. A two-level contact algorithm is employed which first linearizes the nonlinear contact problem to obtain a linear contact problem that is in turn solved by the Newton method. The performance of the algorithm compared to some existing procedures is demonstrated on some test problems.
UR - http://www.scopus.com/inward/record.url?scp=0022660381&partnerID=8YFLogxK
U2 - 10.1016/0045-7825(86)90122-2
DO - 10.1016/0045-7825(86)90122-2
M3 - Article
AN - SCOPUS:0022660381
VL - 54
SP - 131
EP - 144
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
IS - 2
ER -