On improved predictions for structural equilibrium path evaluations

DOI10.1002/nme.1620360203zbMath0770.73085OpenAlexW2127009270MaRDI QIDQ4696317

Anders B. Eriksson

Publication date: 29 June 1993

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.1620360203

zbMATH Keywords

trussesshellsframestangential stiffness matrixequilibrium iterationsnonlinear structural analysisinitial post-bifurcation behaviourhigher- order predictionsimplicit generalized Simpson methodLagrangian extrapolationsparameter formulation

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items

Tracing nonlinear equilibrium paths of structures subjected to thermal loading, Deformation extrapolation and initial predictors in large-deformation finite element analysis, Combining arc‐length control and line searches in path following, AN APPROACH TO STATICAL AND QUASI-STATICAL NONLINEAR ANALYSIS OF STRUCTURES IN SMALL STRAINS AND FINITE ROTATIONS HYPOTHESES, Evaluation of simple bifurcation points and post-critical path in large finite rotation problems, Structural instability analyses based on generalised path-following, Nonlinear analysis based on homogeneous incremental systems, Mixed formulation and locking in path-following nonlinear analysis, An effective parametrization for asymptotic extrapolations, Continuation methods for tracing the equilibrium path in flexible mechanism analysis, Post-critical analysis of structures with a nonlinear pre-buckling state in the presence of imperfections.

Uses Software

• PITCON

Cites Work

• The Application of Newton’s Method to the Problem of Elastic Stability
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