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Direct Evaluation of the Post-Buckling Behavior of Slender Structures Through a Numerical Asymptotic Formulation

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Direct Methods for Limit States in Structures and Materials

Abstract

The analysis of slender structures, characterized by complex buckling and postbuckling phenomena and by a strong imperfection sensitivity, is heavily penalized by the lack of adequate computational tools. Standard incremental iterative approaches are computationally expensive and unaffordable, while FEM implementation of the Koiter method is a convenient alternative. The analysis is very fast, its computational burden is of the same order as a linearized buckling load evaluation and the simulation of different imperfections costs only a fraction of that needed to characterize the perfect structure. In this respect it can be considered as a direct method for the evaluation of the critical and post-critical behaviour of geometrically nonlinear elastic structures. The main objective of the present work is to show that finite element implementations of the Koiter method can be both accurate and reliable and to highlight the aspects that require further investigation.

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Authors and Affiliations

  1. Dipartimento di Modellistica per l’Ingegneria, Università della Calabria, Rende, Italy

    Giovanni Garcea, Antonio Bilotta, Antonio Madeo & Raffaele Casciaro

Authors
  1. Giovanni Garcea
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  2. Antonio Bilotta
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  3. Antonio Madeo
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  4. Raffaele Casciaro
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Corresponding author

Correspondence to Giovanni Garcea .

Editor information

Editors and Affiliations

  1. Department of Structural Engineering, National Technical University of Athens School of Civil Engineering, Athens, Greece

    Konstantinos Spiliopoulos

  2. Institute of General Mechanics, RWTH-Aachen University, Aachen, Germany

    Dieter Weichert

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Garcea, G., Bilotta, A., Madeo, A., Casciaro, R. (2014). Direct Evaluation of the Post-Buckling Behavior of Slender Structures Through a Numerical Asymptotic Formulation. In: Spiliopoulos, K., Weichert, D. (eds) Direct Methods for Limit States in Structures and Materials. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6827-7_10

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  • DOI: https://doi.org/10.1007/978-94-007-6827-7_10

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-6826-0

  • Online ISBN: 978-94-007-6827-7

  • eBook Packages: EngineeringEngineering (R0)

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