A novel augmented Lagrangian‐based formulation for upper‐bound limit analysis |
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Authors: | M. Vicente da Silva A. N. Antão |
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Affiliation: | Department of Civil Engineering, Faculty of Science and Technology, Universidade Nova de Lisboa, , Quinta da Torre, 2829‐516 Monte da Caparica, Portugal |
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Abstract: | This paper describes a novel upper‐bound formulation of limit analysis. This formulation is an innovative variant of an existing two‐field mixed formulation based on the augmented Lagrangian method also developed by the authors. A natural approach is used to describe the deformation of each finite element. Furthermore, and in contrast to the previous formulation, two independent field approximations are now both used to define the velocity field, defined globally and at element level. It is shown that this feature allows a governing system of uncoupled linear equations to be obtained. Some numerical examples in plane strain conditions are presented in order to illustrate the current model performance. In conclusion, the potential and advantages of this new approach are discussed. Copyright © 2011 John Wiley & Sons, Ltd. |
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Keywords: | limit analysis kinematic theorem augmented Lagrangian natural approach parallel oriented |
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