Solution techniques for non−linear finite element problems
From MaRDI portal
Publication:4174367
DOI10.1002/nme.1620121106zbMath0392.73081OpenAlexW2162051418MaRDI QIDQ4174367
Pål G. Bergan, T. H. Soreide, G. Horrigmoe, Bjorn Krakeland
Publication date: 1978
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.1620121106
InstabilitiesExamplesAutomatic Load IncrementationClassification of Mathematical FormulationsEquilibrium IterationsNonlinear Finite Element ProblemsSnap-BackSnap-ThroughSolution TechniquesSteering Parameter
Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items
Unnamed Item ⋮ AN AUTOMATIC LOAD STEPPING ALGORITHM WITH ERROR CONTROL ⋮ Elastoplastic bifurcation and collapse of axially loaded cylindrical shells ⋮ Direct computation of critical equilibrium states for spatial beams and frames ⋮ Solution strategies and softening materials ⋮ A quadratically convergent procedure for the calculation of stability points in finite element analysis ⋮ Implantation of a nonlinear capability on a linear software system ⋮ Geometrically nonlinear analysis of shell structures using a flat triangular shell finite element ⋮ Elastoplastic nonlinear post-buckling analysis of partially restrained space structures ⋮ Nonlinear static and dynamic analysis of hyper-elastic thin shells via the absolute nodal coordinate formulation ⋮ A Parallel Elastoplastic Reanalysis Based on GPU Platform ⋮ Geometrically nonlinear pre-buckling state of anisotropic cylinders ⋮ A special incremental–iterative solution technique for non‐linear structural analysis including snap‐through ⋮ Geometrically nonlinear analysis utilizing co-rotational framework for solid element based on modified Hellinger-Reissner principle ⋮ Some practical procedures for the solution of nonlinear finite element equations ⋮ Natural description of large inelastic deformations for shells of arbitrary shape - Application of TRUMP element ⋮ A note on FEM buckling analysis ⋮ Research on nonlinear, postbuckling and elasto-plastic analyses of framed structures and curved beams ⋮ Tracing post-limit-point paths with reduced basis technique ⋮ Large displacements of shells including material nonlinearities ⋮ Bifurcation and post-buckling analysis of laminated composite plates via reduced basis technique ⋮ Variable order secant matrix technique applied to the elastic postbuckling of arches ⋮ On making large nonlinear problems small ⋮ Formal convergence characteristics of elliptically constrained incremental Newton-Raphson algorithms ⋮ Tracing post-limit-point paths with incomplete or without factorization of the stiffness matrix ⋮ A simple FEM formulation for large deflection 2D frame analysis based on position description ⋮ Geometric non-linear analysis of space shell structures using generalized conforming flat shell elements-for space shell structures ⋮ Nonlinear finite element analysis of concrete structures ⋮ ON THE SIGN OF THE DETERMINANT OF THE STRUCTURAL STIFFNESS MATRIX FOR DETERMINATION OF LOADING INCREMENT IN ARC-LENGTH ALGORITHMS ⋮ Nonlinear analysis of free-form shells by flat finite elements ⋮ Determination of travel directions in path-following methods ⋮ Stabilized forms of orthogonal residual and constant incremental work control path following methods ⋮ On a stress resultant geometrically exact shell model. III: Computational aspects of the nonlinear theory ⋮ An efficient model reduction method for buckling analyses of thin shells based on IGA ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:3906601 Zur numerischen Behandlung von Randwertproblemen einer geometrisch nichtlinearen Fl�chentragwerkstheorie] ⋮ Arc-length technique for nonlinear finite element analysis ⋮ Instability analysis of space trusses ⋮ Some computational aspects of the stability analysis of nonlinear structures ⋮ A stiffness matrix extrapolation strategy for nonlinear analysis ⋮ An automatic time-stepping algorithm for dynamic problems ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:3940969 Nichtlineare Stabilit�tsuntersuchungen mit der Methode der Finiten Elemente] ⋮ Geometrically nonlinear analysis of space frames by an incremental iterative technique ⋮ Nonlinear buckling analysis of hyperbolic cooling tower shell with ring- stiffeners ⋮ A theoretical proof of the invalidity of dynamic relaxation arc-length method for snap-back problems ⋮ The solution of multi-parameter systems of equations with application to problems in nonlinear elasticity ⋮ Consistent linearization for path following methods in nonlinear FE analysis ⋮ Nonlinear analysis using a reduced number of variables ⋮ Instability analysis of thin plates and arbitrary shells using a faceted shell element with loof nodes ⋮ Geometrisch nichtlineare Fachwerke
Cites Work
