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Second Gradient Models and Concrete Structures

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Bifurcation and Degradation of Geomaterials with Engineering Applications (IWBDG 2017)

Part of the book series: Springer Series in Geomechanics and Geoengineering ((SSGG))

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Abstract

Damage induces strain localization in quasi-brittle materials such as concrete. In order to correctly simulate this behaviour, it is necessary to introduce a length scale parameter in the continuum model. The second gradient model, a special case of kinematically enriched continua, uses an internal length parameter by taking into account the second order derivatives of the displacements in the virtual power principle. A penalty term is added in the original second gradient finite element formulation in order to improve convergence and to avoid erroneous damage distribution. A three points bending test of a reinforced concrete beam show the performance of the improved second gradient finite element formulation.

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Author information

Authors and Affiliations

  1. Ecole Centrale de Nantes, Université de Nantes, CNRS UMR 6183, GeM (Institut de Recherche en Génie Civil et Mécanique), 1 rue de la Noë, BP 92101, 44321, Nantes, France

    G. Jouan, M. Soufflet & P. Kotronis

  2. Département Argenco, Institut de mécanique et Génie Civil, Université de Liège, Bât. 52, 9 Allée de la Découverte, 4000, Liège, Belgium

    F. Collin

Authors
  1. G. Jouan
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  2. M. Soufflet
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  3. P. Kotronis
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  4. F. Collin
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Corresponding author

Correspondence to P. Kotronis .

Editor information

Editors and Affiliations

  1. Department of Civil Engineering, Aristotle Univ of Thessaloniki Department of Civil Engineering, Thessaloniki, Greece

    Euripides Papamichos

  2. Department of Civil and Environmental En, University of Cyprus Department of Civil and Environmental En, Nicos, Cyprus

    Panos Papanastasiou

  3. School of Mechanical & Chemical Engg, University of Western Australia School of Mechanical & Chemical Engg, Crawley, West Australia, Australia

    Elena Pasternak

  4. Sch Civil, Envtl & Mining Engg, University of Western Australia Sch Civil, Envtl & Mining Engg, Crawley, West Australia, Australia

    Arcady Dyskin

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Jouan, G., Soufflet, M., Kotronis, P., Collin, F. (2017). Second Gradient Models and Concrete Structures. In: Papamichos, E., Papanastasiou, P., Pasternak, E., Dyskin, A. (eds) Bifurcation and Degradation of Geomaterials with Engineering Applications. IWBDG 2017. Springer Series in Geomechanics and Geoengineering. Springer, Cham. https://doi.org/10.1007/978-3-319-56397-8_24

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  • DOI: https://doi.org/10.1007/978-3-319-56397-8_24

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-56396-1

  • Online ISBN: 978-3-319-56397-8

  • eBook Packages: EngineeringEngineering (R0)

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