Comptes Rendus
An identification method to calibrate higher-order parameters in local second-gradient models
Comptes Rendus. Mécanique, Volume 343 (2015) no. 7-8, pp. 443-456.

A numerical method is presented for identifying the material parameters that appear in second-gradient models. For local second-gradient models, additional material parameters must be defined in numerical models. The objective of the present study is to develop a simple numerical identification procedure for these additional coefficients. The method combines modelling of laboratory tests with analytical implements. Numerical studies are then used to validate the method for a shale and to investigate the effects of both the internal length and the additional coefficients on the numerical responses. The procedure provides the first coherent results achieved at the laboratory scale.

Une méthode numérique permettant d'identifier les paramètres matériaux spécifiques aux modèles second gradient est présentée. Pour les modèles second gradient locaux, des paramètres matériaux supplémentaires sont définis dans les modèles numériques. L'objectif est de développer une procédure d'identification numérique simple pour ces coefficients supplémentaires. La méthode combine la modélisation d'essais de laboratoire et des développements analytiques. Des études numériques permettent de valider la méthode sur une argile et d'investiguer les effets de la longueur interne et des coefficients supplémentaires sur la réponse numérique. La procédure fournit les premiers résultats cohérents à l'échelle du laboratoire.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crme.2015.06.002
Keywords: Second-gradient dilation model, Localisation, Material property identification, Shear bands, 3-D modelling, Softening behaviour
Mot clés : Modèles second gradient de dilatation, Localisation, Identification des propriétés des matériaux, Bandes de cisaillement, Modélisation 3D, Radoucissement

Simon Raude 1; Richard Giot 1; Alexandre Foucault 2; Roméo Fernandes 2

1 GeoRessources, UMR 7359 ENSG–Université de Lorraine, 54518 Vandœuvre-lès-Nancy, France
2 IMSIA, UMR EDF-CNRS-CEA-ENSTA 9219, Clamart, France
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Simon Raude; Richard Giot; Alexandre Foucault; Roméo Fernandes. An identification method to calibrate higher-order parameters in local second-gradient models. Comptes Rendus. Mécanique, Volume 343 (2015) no. 7-8, pp. 443-456. doi : 10.1016/j.crme.2015.06.002. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2015.06.002/

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