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2017 | OriginalPaper | Chapter

Restoring Mesh Independency in FEM-DEM Multi-scale Modelling of Strain Localization Using Second Gradient Regularization

Authors : J. Desrues, A. Argilaga, S. Dal Pont, G. Combe, D. Caillerie, T. kein Nguyen

Published in: Bifurcation and Degradation of Geomaterials with Engineering Applications

Publisher: Springer International Publishing

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Abstract

Continuum media from classical mechanics cannot appropriately reproduce the evolution of materials exhibiting strong heterogeneities in the strain field, e.g. strain localization. Models without a microscale representation cannot properly reproduce the microscale mechanisms that trigger the strain localization, in addition, first gradient relations don’t present any length parameter in the formulation. This results in a model without a characteristic length that cannot exhibit any objective band width. In this paper, techniques to introduce an internal length will be enumerated. Microstuctured materials will be retained and in particular Second Gradient model will be exposed and used along with a FEMxDEM approach. Numerical results showing the abilities of the enriched model will conclude the text.

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previous chapter Investigations of Vortex-Structures in Granular Bodies Based on DEM and Helmholtz-Hodge Flow Field Decomposition

next chapter Strain Localization as a Function of Topological Changes in Mesoscopic Granular Structures

Chambon, R., Caillerie, D., El Hassan, N.: One-dimensional localisation studied with a second grade model. Eur. J. Mech.-A/Solids 17(4), 637–656 (1998)MathSciNetCrossRefMATH

Chambon, R., Caillerie, D., Matsuchima, T.: Plastic continuum with microstructure, local second gradient theories for geomaterials: localization studies. Int. J. Solids Struct. 38(46), 8503–8527 (2001)

Collin, F., Chambon, R., Charlier, R.: A finite element method for poro mechanical modelling of geotechnical problems using local second gradient models. Int. J. Numer. Methods Eng. 65(11), 1749–1772 (2006)MathSciNetCrossRefMATH

De Borst, R., Mühlhaus, H.-B.: Gradient-dependent plasticity: formulation and algorithmic aspects. Int. J. Numer. Methods Eng. 35(521–539), 1992 (1992)MATH

Eringen, A.C.: Nonlocal polar elastic continua. Int. J. Eng. Sci. 10(1), 1–16 (1972)MathSciNetCrossRefMATH

Germain, P.: La méthode des puissances virtuelles en mécanique des milieux continus. J. Mécanique 12, 236–274 (1973)MATH

Guo, N., Zhao, J.: A hierarchical model for cross-scale simulation of granular media. AIP Conf. Proc. 1542, 1222–1225 (2013)CrossRef

Guo, N., Zhao, J.: Multiscale insights into classical geomechanics problems. Int. J. Numer. Anal. Methods Geomech. (2015)

Guo, N., Zhao, J.: 3D multiscale modeling of strain localization in granular media. Comput. Geotech. (2016)

10.

Guo, N., Zhao, J.: Parallel hierarchical multiscale modelling of hydro-mechanical problems for saturated granular soils. Comput. Methods Appl. Mech. Eng. 305, 37–61 (2016)MathSciNetCrossRef

11.

Kaneko, K., Terada, K., Kyoya, T., Kishino, Y.: Global-local analysis of granular media in quasi-static equilibrium. Int. J. Solids Struct. 40(15), 4043–4069 (2003)CrossRefMATH

12.

Liu, Y., Sun, W., Yuan, Z., Fish, J.: A nonlocal multiscale discrete-continuum model for predicting mechanical behavior of granular materials. Int. J. Numer. Methods Eng. (2015)

13.

Marinelli, F.: Comportement couplé des géomatériaux: deus approches de módelisation numérique. Ph.D. thesis (2013)

14.

Matsushima, T., Chambon, R., Caillerie, D.: Second gradient models as a particular case of microstructured models: a large strain finite elements analysis. Comptes Rendus de l’Académie des Sciences-Series IIB-Mechanics-Physics-Astronomy 328(2), 179–186 (2000)

15.

Matsushima, T., Chambon, R., Caillerie, D.: Large strain finite element analysis of a local second gradient model: application to localization. Int. J. Numer. Methods Eng. 54(4), 499–521 (2002)MathSciNetCrossRefMATH

16.

Miehe, C., Dettmar, J., Zäh, D.: Homogenization and two-scale simulations of granular materials for different microstructural constraints. Int. J. Numer. Methods Eng. 83(8–9), 1206–1236 (2010)CrossRefMATH

17.

Mindlin, R.D.: Second gradient of strain and surface-tension in linear elasticity. Int. J. Solids Struct. 1(4), 417–438 (1965)CrossRef

18.

Nguyen, T.: Modélisation numérique à double échelle des matériaux granulaires cohésifs: Approche par éléments finis-éléments discrets. Ph.D. thesis (2013)

19.

Nguyen, T., Combe, G., Caillerie, D., Desrues, J.: FEM \(\times \) DEM modelling of cohesive granular materials: numerical homogenisation and multi-scale simulations. Acta Geophysica 62(5), 1109–1126 (2014)CrossRef

20.

Nitka, M., Combe, G., Dascalu, C., Desrues, J.: Two-scale modeling of granular materials: a DEM-FEM approach. Granul. Matter 13(3), 277–281 (2011)CrossRef

21.

Pamin, J.K.: Gradient-dependent Plasticity in Numerical Simulation of Localization Phenomena. Delft University of Technology, TU Delft (1994)

22.

Pietruszczak, S., Mroz, Z.: Finite element analysis of deformation of strain-softening materials. Int. J. Numer. Methods Eng. 17(3), 327–334 (1981)CrossRefMATH

23.

Rice, J.R.: The Localization of Plastic Deformation. Brown University, Division of Engineering (1976)MATH

24.

Salehnia, F., Collin, F., Li, X.L., Dizier, A., Sillen, X., Charlier, R.: Coupled modeling of excavation damaged zone in boom clay: Strain localization in rock and distribution of contact pressure on the gallerys lining. Comput. Geotech. 69, 396–410 (2015)

25.

Shahin, G., Desrues, J., Dal Pont, S., Combe, G., Argilaga, A.: A study of the influence of rev variability in double scale FEM \(\times \) DEM analysis. Int. J. Numer. Methods Eng. (2016)

26.

Wang, K., Sun, W.: A semi-implicit discrete-continuum coupling method for porous media based on the effective stress principle at finite strain. Comput. Methods Appl. Mech. Eng. 304, 546–583 (2016)MathSciNetCrossRef

Title: Restoring Mesh Independency in FEM-DEM Multi-scale Modelling of Strain Localization Using Second Gradient Regularization
Authors: J. Desrues
A. Argilaga
S. Dal Pont
G. Combe
D. Caillerie
T. kein Nguyen
Publisher: Springer International Publishing
Book: Bifurcation and Degradation of Geomaterials with Engineering Applications
Print ISBN: 978-3-319-56396-1

Electronic ISBN: 978-3-319-56397-8

Copyright Year: 2017
DOI: https://doi.org/10.1007/978-3-319-56397-8_57

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