Equilibrium Path Analysis Including Bifurcations with an Arc-Length Method Avoiding A Priori Perturbations

DOI10.1007/978-3-030-55874-1_110zbMath1484.74025OpenAlexW3158352495MaRDI QIDQ5152918

Unnamed Author, J. H. Den Besten, M. L. Kaminski, Matthias Möller, Fred J. Vermolen

Publication date: 27 September 2021

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-55874-1_110

zbMATH Keywords

post-bucklingcolumncomplex rootisogeometric Kirchhoff-Love shell finite element formulation

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Bifurcation and buckling (74G60)

Cites Work

• Unnamed Item
• Unnamed Item
• Isogeometric shell analysis with Kirchhoff-Love elements
• Spatial resolution of wrinkle patterns in thin elastic sheets at finite strain
• A quadratically convergent procedure for the calculation of stability points in finite element analysis
• Determination of travel directions in path-following methods
• On the wrinkling and restabilization of highly stretched sheets
• A general procedure for the direct computation of turning and bifurcation points
• An arc-length method including line searches and accelerations
• An improved automatic incremental algorithm for the efficient solution of nonlinear finite element equations
• A fast incremental/iterative solution procedure that handles “snap-through”
• A study on arc-length-type methods and their operation failures illustrated by a simple model
• An incremental solution technique for unstable equilibrium paths of shell structures
• The Application of Newton’s Method to the Problem of Elastic Stability

This page was built for publication: Equilibrium Path Analysis Including Bifurcations with an Arc-Length Method Avoiding A Priori Perturbations