The Koiter-Newton approach using von Kármán kinematics for buckling analyses of imperfection sensitive structures
From MaRDI portal
Publication:1668418
DOI10.1016/j.cma.2014.07.008zbMath1423.74345OpenAlexW2066310296MaRDI QIDQ1668418
Martin Ruess, Ke Liang, Mostafa M. Abdalla
Publication date: 28 August 2018
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2014.07.008
imperfection loadsimperfection sensitive bucklingKoiter-Newtonnonlinear structural analysesvon Kármán Kinematics
Finite element methods applied to problems in solid mechanics (74S05) Bifurcation and buckling (74G60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items
A novel nonlinear FE perturbation method and its application to stacking sequence optimization for snap-through response of cylindrical shell panel, A Koiter reduction technique for the nonlinear thermoelastic analysis of shell structures prone to buckling, Deep learned one‐iteration nonlinear solver for solid mechanics, Thermal-mechanical buckling analysis and optimization of the stringer stiffened cylinder using smeared stiffener based reduced-order models, An accurate and efficient implementation of initial geometrical imperfections in the predictor-corrector reduced-order modeling method, A novel reduced-order method using mixed nonlinear kinematics for geometrically nonlinear analysis of thin-walled structures, Computation of worst geometric imperfection profiles of composite cylindrical shell panels by minimizing the non-linear buckling load, An isogeometric formulation of the Koiter's theory for buckling and initial post-buckling analysis of composite shells, A smeared stiffener based reduced-order modelling method for buckling analysis of isogrid-stiffened cylinder, An efficient model reduction method for buckling analyses of thin shells based on IGA, How to improve efficiency and robustness of the Newton method in geometrically non-linear structural problem discretized via displacement-based finite elements, A novel and highly efficient strategy to determine the `worst' imperfection shape for buckling of cylindrical shell panels
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Discussion about parameterization in the asymptotic numerical method: application to nonlinear elastic shells
- Stochastic inverse identification of geometric imperfections in shell structures
- Postbuckling of carbon nanotube-reinforced functionally graded cylindrical panels under axial compression using a meshless approach
- The effect of material and thickness variability on the buckling load of shells with random initial imperfections
- Asymptotic post-buckling FEM analysis using corotational formulation
- Buckling behavior of compression-loaded composite cylindrical shells with reinforced cutouts
- Buckling analysis of cylindrical shells with cutouts including random boundary and geometric imperfections
- Nonlinear stability analysis of thin doubly curved orthotropic shallow shells by the differential quadrature method
- Nonlinear analysis using a reduced number of variables
- Geometrically nonlinear finite element behaviour using buckling mode superposition
- Asymptotic study of the elastic postbuckling behavior of structures by the finite element method
- On the dynamic stability of viscoelastic perfect columns
- Numerical computational of branch points in nonlinear equations
- Direct evaluation of the `worst' imperfection shape in shell buckling
- An effective parametrization for asymptotic extrapolations
- A comparison of three algorithms for tracing nonlinear equilibrium paths of structural systems
- High-order prediction--correction algorithms for unilateral contact problems
- Postbuckling behavior and imperfection sensitivity of elastic structures by the Lyapunov-Schmidt-Koiter approach
- On the determination of the path direction for arc-length methods in the presence of bifurcations and `snap-backs'
- Adaption o f Koiter's method to finite element analysis of snap-through buckling behavior
- Static and Dynamic Buckling of Thin-Walled Plate Structures
- A Koiter-Newton approach for nonlinear structural analysis
- A path-following technique via an asymptotic-numerical method
- A beam finite element non-linear theory with finite rotations
- Derivatives of tangential stiffness matrices for equilibrium path descriptions
- A path-following algorithm with quadratic predictor
- Normal Modes for Non-Linear Vibratory Systems
- PERTURBATION APPROACH TO ELASTIC POST-BUCKLING ANALYSIS
- Asymptotic–numerical methods and Pade approximants for non‐linear elastic structures
- Bifurcation points and bifurcated branches by an asymptotic numerical method and Padé approximants
- Mixed formulation in Koiter analysis of thin-walled beams
