2001
DOI: 10.1016/s0020-7683(01)00057-9
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Plastic continuum with microstructure, local second gradient theories for geomaterials: localization studies

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Cited by 151 publications
(142 citation statements)
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“…Cosserat's model is one of the most famous (Cosserat and Cosserat 1909). Among the existing regularisation methods with kinematics enrichment, the local second gradient model (Chambon et al 1998;Chambon et al 2001) is chosen.…”
Section: Coupled Local Second Gradient Model In Unsaturated Conditionsmentioning
confidence: 99%
See 1 more Smart Citation
“…Cosserat's model is one of the most famous (Cosserat and Cosserat 1909). Among the existing regularisation methods with kinematics enrichment, the local second gradient model (Chambon et al 1998;Chambon et al 2001) is chosen.…”
Section: Coupled Local Second Gradient Model In Unsaturated Conditionsmentioning
confidence: 99%
“…In the classical finite element framework, the strain localisation is mesh-dependent and thus an enhanced model is needed to correctly represent the localisation behaviour (Bésuelle et al 2006). To this goal, we choose to use the coupled local second gradient model which includes an enrichment of the continuum with microstructure effects (Chambon et al 2001). We extend the coupled problem to unsaturated conditions and include the compressibility of the solid grains through the Biot's coefficient (see sections 3 and 4).…”
Section: Introductionmentioning
confidence: 99%
“…The excavation damaged zone and strain localization bands during the excavation phase of a gallery at Mol (Belgium) have been modeled realistically using the second gradient model (Chambon et al 1998(Chambon et al & 2001. The results simulated the evolution of the localization bands and the extension of EDZ as 10.25 m horizontally and 3.5 m vertically.…”
Section: Discussionmentioning
confidence: 99%
“…Among the different technics, the second gradient model (Chambon et al 1998(Chambon et al & 2001 which is a model with internal length is used as the regularization method. The continuum is enriched by microstructure effects in the second gradient method; so the kinematics includes macrokinematics as well as microkinematics (Mindlin 1964, Germain 1973, Collin et al, 2006.…”
Section: Second Gradient Lawmentioning
confidence: 99%
“…We present the weak form of the balance equations written for the strain gradient theory viewed as a particular case of the microstructured continuum theory [2]:…”
Section: Fig 1 Computational Homogenization Scheme With Second Gradientmentioning
confidence: 99%