Determination of travel directions in path-following methods
From MaRDI portal
Publication:1804918
DOI10.1016/0895-7177(95)00030-6zbMath0819.73073OpenAlexW2028183202MaRDI QIDQ1804918
David R. Owen, Djordje Perić, Yun Tian Feng
Publication date: 24 August 1995
Published in: Mathematical and Computer Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0895-7177(95)00030-6
iterative solversarc-length methodcontinuation methodscriterionloading parameter incrementnonlinear static structural problems
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (7)
On path-following methods for structural failure problems ⋮ An efficient peridynamic framework based on the arc-length method for fracture modeling of brittle and quasi-brittle problems with snapping instabilities ⋮ Nonlinear analysis based on homogeneous incremental systems ⋮ On the determination of the path direction for arc-length methods in the presence of bifurcations and `snap-backs' ⋮ Equilibrium Path Analysis Including Bifurcations with an Arc-Length Method Avoiding A Priori Perturbations ⋮ A posteriori performance-based comparison of three new path-following constraints for damage analysis of quasi-brittle materials ⋮ ON THE SIGN OF THE DETERMINANT OF THE STRUCTURAL STIFFNESS MATRIX FOR DETERMINATION OF LOADING INCREMENT IN ARC-LENGTH ALGORITHMS
Cites Work
- Unnamed Item
- Unnamed Item
- Some computational aspects of the stability analysis of nonlinear structures
- Orthogonal trajectory accession to the nonlinear equilibrium curve
- Geometrically nonlinear analysis of space frames by an incremental iterative technique
- Consistent linearization for path following methods in nonlinear FE analysis
- An incremental approach to the solution of snapping and buckling problems
- On a stress resultant geometrically exact shell model. III: Computational aspects of the nonlinear theory
- Discrete approximations related to nonlinear theories of solids
- A truncated Newton-Lanczos method for overcoming limit and bifurcation points
- A variable load iteration procedure for thin-walled structures
- An improved automatic incremental algorithm for the efficient solution of nonlinear finite element equations
- Incremental displacement algorithms for nonlinear problems
- Simplicial and Continuation Methods for Approximating Fixed Points and Solutions to Systems of Equations
- Improved iteration strategy for nonlinear structures
- A fast incremental/iterative solution procedure that handles “snap-through”
- Solution techniques for non−linear finite element problems
- The Solution of Non-Linear Equations and of Differential Equations with Two-Point Boundary Conditions
- Methods of conjugate gradients for solving linear systems
This page was built for publication: Determination of travel directions in path-following methods