A quadratically convergent procedure for the calculation of stability points in finite element analysis

authored by

Peter Wriggers, W. Wagner, C. Miehe

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.

Organisation(s)

Institute of Mechanics and Computational Mechanics

Type

Article

Journal

Computer Methods in Applied Mechanics and Engineering

Volume

70

Pages

329-347

No. of pages

19

ISSN

0045-7825

Publication date

10.1988

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Computational Mechanics, Mechanics of Materials, Mechanical Engineering, Physics and Astronomy(all), Computer Science Applications

Electronic version(s)

https://doi.org/10.1016/0045-7825(88)90024-2 (Access: Unknown)