Bifurcation indicators

DOI10.1007/BF01170186zbMath0951.74022OpenAlexW4236251989MaRDI QIDQ1570857

H. Elasmar, Michel Potier-Ferry, Bruno Cochelin, Mohammad Jamal, Noureddine Damil, Bouazza Braikat, El Hassan Boutyour

Publication date: 11 July 2000

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01170186

zbMATH Keywords

nonlinear eigenvalue problemsdirect methodasymptotic numerical methodlinear eigenvalue problemsbifurcation indicatorsbuckling beams with variable cross-sectionperturbation forcesreduced stiffness matrix

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Bifurcation and buckling (74G60)

Related Items (4)

A Koiter-Newton approach for nonlinear structural analysis ⋮ A novel reduced-order method using mixed nonlinear kinematics for geometrically nonlinear analysis of thin-walled structures ⋮ A high order mesh-free method for buckling and post-buckling analysis of shells ⋮ Bifurcation indicator based on meshless and asymptotic numerical methods for nonlinear poisson problems

Cites Work

• Unnamed Item
• Unnamed Item
• An incremental approach to the solution of snapping and buckling problems
• Computing finite rotations of shells by an asymptotic-numerical method
• ANM for stationary Navier-Stokes equations and with Petrov-Galerkin formulation
• A path-following technique via an asymptotic-numerical method
• A general procedure for the direct computation of turning and bifurcation points
• The Calculation of Turning Points of Nonlinear Equations
• Numerical analysis of continuation methods for nonlinear structural problems
• A fast incremental/iterative solution procedure that handles “snap-through”
• Résolution des équations de Navier-Stokes et Détection des bifurcations stationnaires par une Méthode Asymptotique-Numérique
• Méthodes asymptotiques numériques pour la plasticité
• The asymptotic-numerical method: an efficient perturbation technique for nonlinear structural mechanics
• An asymptotic‐numerical method to compute the postbuckling behaviour of elastic plates and shells

This page was built for publication: Bifurcation indicators