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Computational Mechanics
Erschienen in: Computational Mechanics 5/2014

01.11.2014 | Original Paper

A mixed finite element procedure of gradient Cosserat continuum for second-order computational homogenisation of granular materials

verfasst von: Xikui Li, Yuanbo Liang, Qinglin Duan, B.A. Schrefler, Youyao Du

Erschienen in: Computational Mechanics | Ausgabe 5/2014

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Abstract

A mixed finite element (FE) procedure of the gradient Cosserat continuum for the second-order computational homogenisation of granular materials is presented. The proposed mixed FE is developed based on the Hu–Washizu variational principle. Translational displacements, microrotations, and displacement gradients with Lagrange multipliers are taken as the independent nodal variables. The tangent stiffness matrix of the mixed FE is formulated. The advantage of the gradient Cosserat continuum model in capturing the meso-structural size effect is numerically demonstrated. Patch tests are specially designed and performed to validate the mixed FE formulations. A numerical example is presented to demonstrate the performance of the mixed FE procedure in the simulation of strain softening and localisation phenomena, while without the need to specify the macroscopic phenomenological constitutive relationship and material failure model. The meso-structural mechanisms of the macroscopic failure of granular materials are detected, i.e. significant development of dissipative sliding and rolling frictions among particles in contacts, resulting in the loss of contacts.
Vorheriger Artikel A new SMA shell element based on the corotational formulation
Nächster Artikel A simple and efficient preconditioning scheme for heaviside enriched XFEM

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Metadaten
Titel
A mixed finite element procedure of gradient Cosserat continuum for second-order computational homogenisation of granular materials
verfasst von
Xikui Li
Yuanbo Liang
Qinglin Duan
B.A. Schrefler
Youyao Du
Publikationsdatum
01.11.2014
Verlag
Springer Berlin Heidelberg
Erschienen in
Computational Mechanics / Ausgabe 5/2014
Print ISSN: 0178-7675
Elektronische ISSN: 1432-0924
DOI
https://doi.org/10.1007/s00466-014-1062-9

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