A stiffness parameter and truncation error criterion for adaptive path following in structural mechanics

Cites Work

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Geometrically nonlinear analysis of shell structures using a flat triangular shell finite element
Buckling analysis of imperfect I-section beam-columns with stochastic shell finite elements
A PI stepsize control for the numerical solution of ordinary differential equations
Constitutive laws and force recovery procedures in nonlinear analysis of trusses
An error estimate and step size control method for nonlinear solution techniques
A dual orthogonality procedure for nonlinear finite element equations.
An adaptive step size controller for iterative implicit methods
Automatic control and adaptive time-stepping
On the determination of the path direction for arc-length methods in the presence of bifurcations and `snap-backs'
Curvature controlled arc-length method
A novel analysis-prediction approach for geometrically nonlinear problems using group method of data handling
Discrete approximations related to nonlinear theories of solids
A comparative study of different numerical solution techniques as applied to a nonlinear structural problem
Shell structures-a sensitive interrelation between physics and numerics
A dissipation-based arc-length method for robust simulation of brittle and ductile failure
An arc-length method including line searches and accelerations
Computation of post-bifurcation and post-failure behavior of strain-softening solids
An improved automatic incremental algorithm for the efficient solution of nonlinear finite element equations
On some path-related measures for nonlinear structural F. E. problems
Geometric and material non-linear analysis of beam-columns and frames using the minimum residual displacement method
Incremental displacement algorithms for nonlinear problems
Solution algorithms for nonlinear structural problems
A study of three-node triangular plate bending elements
A fast incremental/iterative solution procedure that handles “snap-through”
Adaptive step size selection for use with the continuation method
Solution techniques for non−linear finite element problems
Path-following technique based on residual energy suppression for nonlinear finite element analysis
On step size adjustments in structural continuation problems
Energy release control for numerical simulations of failure in quasi-brittle solids
Nonlinear mechanics of non-rigid origami: an efficient computational approach
The Application of Newton’s Method to the Problem of Elastic Stability

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