Paper published in a book (Scientific congresses and symposiums)
Restoring Mesh Independency in FEM-DEM Multi-scale Modelling of Strain Localization Using Second Gradient Regularization
Desrues, Jacques; Argilaga, Albert; Dal Pont, Stefanoet al.
2017 • In Papamichos, Euripides; Papanastasiou, Panos; Pasternak, Elenaet al. (Eds.) Bifurcation and Degradation of Geomaterials with Engineering Applications
FEMxDEM; Second gradient; regularization; double scale
Abstract :
[en] 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.
Disciplines :
Materials science & engineering
Author, co-author :
Desrues, Jacques
Argilaga, Albert ; Université de Liège - ULiège > Département ArGEnCo > Géomécanique et géologie de l'ingénieur
Dal Pont, Stefano
Combe, Gael
Caillerie, Denis
Nguyen, Trung Kien
Language :
English
Title :
Restoring Mesh Independency in FEM-DEM Multi-scale Modelling of Strain Localization Using Second Gradient Regularization
Publication date :
22 April 2017
Event name :
IWBDG 2017: Bifurcation and Degradation of Geomaterials with Engineering Applications
Event date :
2017
By request :
Yes
Audience :
International
Main work title :
Bifurcation and Degradation of Geomaterials with Engineering Applications
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)
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)
De Borst, R., Mühlhaus, H.-B.: Gradient-dependent plasticity: formulation and algorithmic aspects. Int. J. Numer. Methods Eng. 35(521–539), 1992 (1992)
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)
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)
Marinelli, F.: Comportement couplé des géomatériaux: deus approches de módelisation numérique. Ph.D. thesis (2013)
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)
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)
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)
Mindlin, R.D.: Second gradient of strain and surface-tension in linear elasticity. Int. J. Solids Struct. 1(4), 417–438 (1965)
Nguyen, T.: Modélisation numérique à double échelle des matériaux granulaires cohésifs: Approche par éléments finis-éléments discrets. Ph.D. thesis (2013)
Nguyen, T., Combe, G., Caillerie, D., Desrues, J.: FEM × DEM modelling of cohesive granular materials: numerical homogenisation and multi-scale simulations. Acta Geophysica 62(5), 1109–1126 (2014)
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)
Pamin, J.K.: Gradient-dependent Plasticity in Numerical Simulation of Localization Phenomena. Delft University of Technology, TU Delft (1994)
Pietruszczak, S., Mroz, Z.: Finite element analysis of deformation of strain-softening materials. Int. J. Numer. Methods Eng. 17(3), 327–334 (1981)
Rice, J.R.: The Localization of Plastic Deformation. Brown University, Division of Engineering (1976)
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)
Shahin, G., Desrues, J., Dal Pont, S., Combe, G., Argilaga, A.: A study of the influence of rev variability in double scale FEM × DEM analysis. Int. J. Numer. Methods Eng. (2016)
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)