Algorithmic aspects of deformation dependent loads in non‐linear static finite element analysis
From MaRDI portal
Publication:4952963
DOI10.1108/02644409910277951zbMath0986.74071OpenAlexW2043518916MaRDI QIDQ4952963
Daniel P. Mok, Ekkehard Ramm, Wolfgang A. Wall, Manfred Bischoff
Publication date: 11 June 2002
Published in: Engineering Computations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1108/02644409910277951
iterationlinearizationequilibrium pathload stiffness matrixdeformation-dependent loadsnonlinear static finite element analysis
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of equilibrium problems in solid mechanics (74G15)
Related Items
The hp-d -adaptive finite cell method for geometrically nonlinear problems of solid mechanics ⋮ Simultaneous shape and topology optimization of inflatable soft robots ⋮ An unfitted hp-adaptive finite element method based on hierarchical B-splines for interface problems of complex geometry
Cites Work
- Nonlinear finite element analysis of elastic systems under nonconservative loading - natural formulation. Part I. Quasistatic problems
- Static and dynamic stability of nonlinear elastic systems under nonconservative forces - natural approach
- Stability conditions for non-conservative dynamical systems
- Finite element solution of the stability problem for nonlinear undamped and damped systems under nonconservative loading
- Displacement dependent pressure loads in nonlinear finite element analyses
- Pressure Loaded Structures under Large Deformations
- Symmetricability of pressure stiffness matrices for shells with loaded free edges
- Some follower forces and load stiffness
- Dynamic stability of shallow shells subjected to follower forces
- Elastic stability of skew laminated composite plates subjected to biaxial follower forces
