On finite element analysis of geometrically nonlinear problems

DOI10.1016/0045-7825(85)90037-4zbMath0552.73064OpenAlexW2066691395MaRDI QIDQ801723

Hans Petersson, Anders Peterson

Publication date: 1985

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(85)90037-4

zbMATH Keywords

numerical examplesbasic equilibrium equations transformed into a weak formgeometrically nonlinear problemspartially updated Lagrangian formulation

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Numerical and other methods in solid mechanics (74S99)

Related Items (2)

A novel analysis-prediction approach for geometrically nonlinear problems using group method of data handling ⋮ A simple FEM formulation for large deflection 2D frame analysis based on position description

Cites Work

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• Finite element method - The natural approach
• Formulation methods of geometric and material nonlinearity problems
• Numerical results from large deflection beam and frame problems analysed by means of elliptic integrals
• Finite element formulations for large deformation dynamic analysis
• AN APPROACH TO THE NON-LINEAR BEHAVIOUR OF THE MEMBERS OF A RIGID JOINTED PLANE FRAMEWORK WITH FINITE DEFLECTIONS
• Harmonic Dispersion Analysis of Incremental Waves in Uniaxially Prestressed Plastic and Viscoplastic Bars, Plates, and Unbounded Media
• Non‐linear transient finite element analysis with convected co‐ordinates

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