On the identification of active constraints
SIAM Journal on Numerical Analysis
Complementary mixed finite element formulations for elastoplasticity
Computer Methods in Applied Mechanics and Engineering
On the Accurate Identification of Active Constraints
SIAM Journal on Optimization
Active Set Identification in Nonlinear Programming
SIAM Journal on Optimization
Adaptive Barrier Update Strategies for Nonlinear Interior Methods
SIAM Journal on Optimization
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A new method for the incremental elastoplastic analysis of structures is presented. Retaining all the equations and variables of the problem at the same level, a particular implementation of sequential quadratic programming with equality constraints is applied to solve the elastoplastic step. The proposed method and standard strain driven formulations based on return mapping by closest point projection schemes are compared by viewing them as dual decomposition techniques suitable for solving the mathematical programming problem associated to the finite elastoplastic step. The numerical tests performed for 2D problems show the good performance and the great robustness of the proposed algorithm.