Second gradient models and concrete structures

Brittleness; Continuum mechanics; Finite element method; Reinforced concrete; Damage distribution; Finite element formulations; Length scale parameter; Quasibrittle material; Reinforced concrete beams; Second order derivatives; Strain localizations; Three-points bending; Concretes

Abstract :

[en] 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. © Springer International Publishing AG 2017.

Disciplines :

Civil engineering

Author, co-author :

Jouan, G.; 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, Nantes, 44321, France

Soufflet, M.; 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, Nantes, 44321, France

Kotronis, P.; 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, Nantes, 44321, France

Collin, Frédéric ; Université de Liège - ULiège > Département ArGEnCo > Géotechnique

Language :

English

Title :

Second gradient models and concrete structures

Publication date :

2017

Event name :

International Workshop On Bifurcation and Degradation in Geomaterials

Event date :

2017

Audience :

International

Journal title :

Springer Series in Geomechanics and Geoengineering

ISSN :

1866-8755

Publisher :

Springer Verlag

Issue :

191289

Pages :

185-191

Peer reviewed :

Peer reviewed

Available on ORBi :

since 26 November 2020

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Bibliography

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