Automated solution procedures for negotiating abrupt non‐linearities and branch points

DOI10.1108/02644409710157613zbMath0983.74554OpenAlexW1996725691MaRDI QIDQ2721456

Amit Kumar Dutta, Donald W. White

Publication date: 9 April 2002

Published in: Engineering Computations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/02644409710157613

zbMATH Keywords

finite element analysisbifurcation pointsbranch switching techniques

Mathematics Subject Classification ID

Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Bifurcation and buckling (74G60)

Related Items (2)

Geometrically nonlinear analysis utilizing co-rotational framework for solid element based on modified Hellinger-Reissner principle ⋮ Finite element linear and nonlinear, static and dynamic analysis of structural elements – an addendum – A bibliography (1996‐1999)

Cites Work

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• Consistent linearization for path following methods in nonlinear FE analysis
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• Accurate and efficient nonlinear formulation of a nine-node shell element with spurious mode control
• An improved automatic incremental algorithm for the efficient solution of nonlinear finite element equations
• Geometric and material non-linear analysis of beam-columns and frames using the minimum residual displacement method
• A fast incremental/iterative solution procedure that handles “snap-through”
• Large displacement formulation of a three-dimensional beam element with cross-sectional warping

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