Details
| Original language | English |
|---|---|
| Pages (from-to) | 329-347 |
| Number of pages | 19 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 70 |
| Issue number | 3 |
| Publication status | Published - Oct 1988 |
Abstract
In this paper a new finite element formulation is given for the analysis of nonlinear stability problems. The introduction of extended systems opens the possibility to compute limit and bifurcation points directly. Here, the use of the directional derivative yields a quadratically convergent iteration scheme. The combination with arc-length and branch-switching procedures leads to a global algorithm for path-following.
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. 70, No. 3, 10.1988, p. 329-347.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A quadratically convergent procedure for the calculation of stability points in finite element analysis
AU - Wriggers, Peter
AU - Wagner, W.
AU - Miehe, C.
PY - 1988/10
Y1 - 1988/10
N2 - In this paper a new finite element formulation is given for the analysis of nonlinear stability problems. The introduction of extended systems opens the possibility to compute limit and bifurcation points directly. Here, the use of the directional derivative yields a quadratically convergent iteration scheme. The combination with arc-length and branch-switching procedures leads to a global algorithm for path-following.
AB - In this paper a new finite element formulation is given for the analysis of nonlinear stability problems. The introduction of extended systems opens the possibility to compute limit and bifurcation points directly. Here, the use of the directional derivative yields a quadratically convergent iteration scheme. The combination with arc-length and branch-switching procedures leads to a global algorithm for path-following.
UR - http://www.scopus.com/inward/record.url?scp=0024092617&partnerID=8YFLogxK
U2 - 10.1016/0045-7825(88)90024-2
DO - 10.1016/0045-7825(88)90024-2
M3 - Article
AN - SCOPUS:0024092617
VL - 70
SP - 329
EP - 347
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
IS - 3
ER -