Abstract
A new iterative algorithm to evaluate the elastic shakedown multiplier is proposed. On the basis of a three field mixed finite element, a series of mathematical programming problems or steps, obtained from the application of the proximal point algorithm to the static shakedown theorem, are obtained. Each step is solved by an Equality Constrained Sequential Quadratic Programming (EC-SQP) technique that retain all the equations and variables of the problem at the same level so allowing a consistent linearization that improves the computational efficiency. The numerical tests performed for 2D problems show the good performance and the great robustness of the proposed algorithm.
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Acknowledgments
The research leading to these results has received regional funding from the European Communitys Seventh Framework Programme FP7-FESR: “PIA Pacchetti Integrati di Agevolazione industria, artigianato e servizi” in collaboration with the Newsoft s.a.s. (www.newsoft-eng.it).
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Garcea, G., Bilotta, A., Leonetti, L. (2015). An Efficient Algorithm for Shakedown Analysis Based on Equality Constrained Sequential Quadratic Programming. In: Fuschi, P., Pisano, A., Weichert, D. (eds) Direct Methods for Limit and Shakedown Analysis of Structures. Springer, Cham. https://doi.org/10.1007/978-3-319-12928-0_10
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DOI: https://doi.org/10.1007/978-3-319-12928-0_10
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