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. (C) 2012 Elsevier Ltd. All rights reserved.

An algorithm for incremental elastoplastic analysis using equality constrained sequential quadratic programming

BILOTTA, Antonio;LEONETTI, Leonardo;GARCEA, Giovanni
2012

Abstract

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. (C) 2012 Elsevier Ltd. All rights reserved.
Plasticity; Assumed stress; Convex optimization methods
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11770/137682
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