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Large Problems in Numerical Limit Analysis: A Decomposition Approach

  • Chapter
Limit States of Materials and Structures

Abstract

A decomposition approach of the kinematical method of limit analysis is first presented. It is based on a mixed variational approach and on a convex interior point solver, using linear or quadratic discontinuous velocity fields. Exposed in plane strain, this method appears rapidly convergent, as verified in the Tresca compressed bar problem. Then the method is applied to the classical problem of the stability factor of a Tresca vertical slope: the upper bound is lowered from 3.882 to 3.7778. This value is to be compared to the lower bound just increased from 3.772 to 3.7752 by using the same solver in the extension of the method to the statical decomposition problem with infinite elements.

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Author information

Authors and Affiliations

  1. Université Catholique de Louvain, Laboratoire cesame, 1348, Louvain-La-Neuve, Belgium

    F. Pastor

  2. Ecole Polytechnique de Tunisie, Laboratoire de Systèmes et de Mécanique Appliquée, 2078, B. P.743, La Marsa, Tunisie

    Z. Kammoun

  3. Facultés universitaires Saint-Louis and Louvain School of Management, Bld., 1000, Jardin Botanique 43, Brussels, Belgium

    E. Loute

  4. Université de Savoie, Polytech’ Savoie, Laboratoire locie, 73376, Le Bourget du Lac, France

    J. Pastor

  5. Ecole Nationale d’Ingénieurs de Tunis, B. P. 37, 1002, Le Belvédère, Tunis, Tunisie

    H. Smaoui

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  1. F. Pastor
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  2. Z. Kammoun
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  3. E. Loute
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Editors and Affiliations

  1. Inst. Allgemeine Mechanik, RWTH Aachen, Templergraben 64, 52062 Aachen, Germany

    Weichert Dieter

  2. Dept. Engineering, University of Leicester, University Road, Leicester, United Kingdom LE1 7RH

    Ponter Alan

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Pastor, F., Kammoun, Z., Loute, E., Pastor, J., Smaoui, H. (2009). Large Problems in Numerical Limit Analysis: A Decomposition Approach. In: Dieter, W., Alan, P. (eds) Limit States of Materials and Structures. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-9634-1_2

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  • DOI: https://doi.org/10.1007/978-1-4020-9634-1_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-9633-4

  • Online ISBN: 978-1-4020-9634-1

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