On the determination of the path direction for arc-length methods in the presence of bifurcations and `snap-backs'

DOI10.1016/S0045-7825(99)00042-0zbMath1003.74025OpenAlexW2015832191MaRDI QIDQ1976172

Eduardo Alberto De Souza Neto, Yun Tian Feng

Publication date: 18 January 2001

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(99)00042-0

zbMATH Keywords

structural stabilitybifurcationspath-following techniquesnonlinear structural analysisarc-length methodsFeng-Perić-Owen criterionsign of incremental load factorsnap-back

Mathematics Subject Classification ID

Bifurcation and buckling (74G60) Numerical approximation of solutions of equilibrium problems in solid mechanics (74G15)

Related Items (13)

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Cites Work

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• A three-dimensional finite-strain rod model. II. Computational aspects
• Determination of travel directions in path-following methods
• ON THE SIGN OF THE DETERMINANT OF THE STRUCTURAL STIFFNESS MATRIX FOR DETERMINATION OF LOADING INCREMENT IN ARC-LENGTH ALGORITHMS
• A fast incremental/iterative solution procedure that handles “snap-through”
• A new criterion for determination of initial loading parameter in arc-length methods

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