Passing of instability points by applying a stabilized Newton-Raphson scheme to a finite element formulation: Comparison to arc-length method

DOI10.1007/s00466-006-0133-yzbMath1161.74051OpenAlexW2058622042MaRDI QIDQ1015676

J. Martínez

Publication date: 8 May 2009

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-006-0133-y

zbMATH Keywords

critical pointspostbucklingbranch switchingautomatic imperfection

Mathematics Subject Classification ID

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

Related Items (3)

The influence of geometric effects on the behavior of strain softening frames ⋮ Postbuckling analysis stabilized by penalty springs and intermediate corrections. Generalization of Wright's scheme from 1968 ⋮ Implicit damping iterative algorithm to solve elastoplastic static and dynamic equations

Cites Work

• Consistent linearization for path following methods in nonlinear FE analysis
• A quadratically convergent procedure for the calculation of stability points in finite element analysis
• Nichtlineare Finite-Element-Methoden
• Procedure for the implicit post buckling analysis with finite elements by stabilising the global stiffness matrix
• A total lagrangian formulation for the geometrically nonlinear analysis of structures using finite elements. Part I. Two-dimensional problems: Shell and plate structures
• A general procedure for the direct computation of turning and bifurcation points
• Finite deformation post-buckling analysis involving inelasticity and contact constraints
• A total Lagrangian formulation for the geometrically nonlinear analysis of structures using finite elements. Part II: Arches, frames and axisymmetric shells
• Penalty Spring Stabilization of Singular Jacobians
• A fast incremental/iterative solution procedure that handles “snap-through”
• Geometrically nonlinear finite element analysis of beams, frames, arches and axisymmetric shells
• A study on arc-length-type methods and their operation failures illustrated by a simple model
• The Application of Newton’s Method to the Problem of Elastic Stability
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Passing of instability points by applying a stabilized Newton-Raphson scheme to a finite element formulation: Comparison to arc-length method