A quadratically convergent procedure for the calculation of stability points in finite element analysis
type: Item
instance of: scholarly article
title: A quadratically convergent procedure for the calculation of stability points in finite element analysis
zbMATH Open document ID: 0653.73031
DOI: 10.1016/0045-7825(88)90024-2
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1988-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74G60
Mathematics Subject Classification ID: 74B20
zbMATH DE Number: 4066472
zbMATH Keywords: three-dimensional truss
zbMATH Keywords: axisymmetrical shell structures
zbMATH Keywords: snap problem
zbMATH Keywords: Newton-type method
zbMATH Keywords: stability points
zbMATH Keywords: consistent linearization
zbMATH Keywords: bifurcation points
zbMATH Keywords: directional derivative
zbMATH Keywords: quadratically convergent iteration scheme
zbMATH Keywords: arc-length
zbMATH Keywords: branch-switching procedures
zbMATH Keywords: global algorithm for path-following
Wikidata QID: Q64017461
author: P. Wriggers
author: Werner Wagner
author: C. Miehe
MaRDI profile type: Publication
full work available at URL: 0045-7825(88)90024-2
OpenAlex ID: W2062894103
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description: scientific article; zbMATH DE number 4066472