Arc-length technique for nonlinear finite element analysis

DOI10.1631/jzus.2004.0618zbMath1099.65525OpenAlexW1970743842WikidataQ44843974 ScholiaQ44843974MaRDI QIDQ5490038

Bashir-Ahmed Memon, Xiaozu Su

Publication date: 4 October 2006

Published in: Journal of Zhejiang University-SCIENCE A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1631/jzus.2004.0618

zbMATH Keywords

finite element methodbifurcation pointsarc-length methodlimit pointsreinforced concrete structuresload-deflection path

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of equilibrium problems in solid mechanics (74G15)

Related Items

The Tikhonov regularization method in elastoplasticity ⋮ Global stability-based design optimization of truss structures using multiple objectives

Cites Work

• Unnamed Item
• Unnamed Item
• Orthogonal trajectory accession to the nonlinear equilibrium curve
• An incremental approach to the solution of snapping and buckling problems
• Discrete approximations related to nonlinear theories of solids
• A study of variable step-length incremental/iterative methods for nonlinear finite element equations
• An improved arc-length method for postbuckling analysis of composite cylindrical panels
• An arc-length method including line searches and accelerations
• An improved automatic incremental algorithm for the efficient solution of nonlinear finite element equations
• Improved arc length orthogonality methods for nonlinear finite element analysis
• Incremental displacement algorithms for nonlinear problems
• A fast incremental/iterative solution procedure that handles “snap-through”
• Solution techniques for non−linear finite element problems
• Geometrical interpretation of the arc-length method
• A new arc-length method for handling sharp snap-backs
• A local arc-length procedure for strain softening
• 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
• A new criterion for determination of initial loading parameter in arc-length methods
• A user-controlled arc-length method for convergence to predefined deformation states
• Tracing postbuckling paths of structures containing multi‐loops
• The Application of Newton’s Method to the Problem of Elastic Stability

This page was built for publication: Arc-length technique for nonlinear finite element analysis