Comptes Rendus
no. 7-8
An identification method to calibrate higher-order parameters in local second-gradient models
[Méthode d'identification des paramètres d'ordre supérieur dans les modèles second gradient locaux]
Simon Raude1  ; Richard Giot1  ; Alexandre Foucault2  ; Roméo Fernandes2
1 GeoRessources, UMR 7359 ENSG–Université de Lorraine, 54518 Vandœuvre-lès-Nancy, France
2 IMSIA, UMR EDF-CNRS-CEA-ENSTA 9219, Clamart, France
Comptes Rendus. Mécanique, Volume 343 (2015) no. 7-8, pp. 443-456.

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.

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.

Reçu le :
Accepté le :
Publié le :
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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     title = {An identification method to calibrate higher-order parameters in local second-gradient models},
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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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