A quadratically convergent algorithm for the computation of stability points: the application of the determinant of the tangent stiffness matrix.
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Publication:1971337
DOI10.1016/S0045-7825(98)00178-9zbMath1161.74494OpenAlexW2037114808MaRDI QIDQ1971337
Publication date: 23 March 2000
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0045-7825(98)00178-9
Finite element methods applied to problems in solid mechanics (74S05) Thin bodies, structures (74K99) Bifurcation and buckling (74G60)
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Cites Work
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- Some computational aspects of the stability analysis of nonlinear structures
- Consistent linearization for path following methods in nonlinear FE analysis
- A quadratically convergent procedure for the calculation of stability points in finite element analysis
- Implantation of a nonlinear capability on a linear software system
- Multiple limit point bifurcation
- An efficient algorithm for the determination of certain bifurcation points
- Numerical computational of branch points in nonlinear equations
- A kinematically exact finite element formulation of planar elastic-plastic frames
- Discrete approximations related to nonlinear theories of solids
- On one-dimensional finite-strain beam theory: the plane problem
- A variational principle for finite planar deformation of straight slender elastic beams
- Tracing the equilibrium path beyond simple critical points
- A simple approach to bifurcation and limit point calculations
- A general procedure for the direct computation of turning and bifurcation points
- On linear constraints for Newton-Raphson corrections and critical point searches in structural F.E. problems
- Folds in Solutions of Two Parameter Systems and Their Calculation. Part I
- Large displacement analysis of elasto-plastic frames
- Incremental displacement algorithms for nonlinear problems
- The Calculation of Turning Points of Nonlinear Equations
- Numerical analysis of continuation methods for nonlinear structural problems
- Path following near bifurcation
- A fast incremental/iterative solution procedure that handles “snap-through”
- The use of ADINA for analysis of mines with explosive fills
- A finite element method for stability problems in finite elasticity
- The Application of Newton’s Method to the Problem of Elastic Stability
