A two-scale model of granular materials

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

Organisationseinheiten

Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)46-58
Seitenumfang13
FachzeitschriftComputer Methods in Applied Mechanics and Engineering
Jahrgang205-208
Ausgabenummer1
PublikationsstatusVeröffentlicht - 30 Dez. 2010

Abstract

A concurrent two-scale and two-method approach for modeling the mechanical behavior of dry frictional non-cohesive granular materials is presented. In domains of large eventually discontinuous deformation the material is modeled on the grain scale using a three-dimensional discrete element method. In the remaining domain the material is considered continuous and modeled by the finite element method using an elasto-plastic constitutive equation whose parameters are fit to the particle model via a homogenization scheme. The discrete and finite element models are coupled at the interface by the Arlequin method. An overlapping domain is introduced where the overall virtual work is interpolated between both models and compatibility is assured by kinematic constraints. For this purpose the discrete particle displacements are split into a fine and coarse scale part and equality of the coarse scale part and the continuum solution is enforced through the penalty method.

ASJC Scopus Sachgebiete

Zitieren

A two-scale model of granular materials. / Wellmann, Christian; Wriggers, Peter.
in: Computer Methods in Applied Mechanics and Engineering, Jahrgang 205-208, Nr. 1, 30.12.2010, S. 46-58.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Wellmann C, Wriggers P. A two-scale model of granular materials. Computer Methods in Applied Mechanics and Engineering. 2010 Dez 30;205-208(1):46-58. doi: 10.1016/j.cma.2010.12.023
Download
@article{becce27c86ed472794328ad41171c4b3,
title = "A two-scale model of granular materials",
abstract = "A concurrent two-scale and two-method approach for modeling the mechanical behavior of dry frictional non-cohesive granular materials is presented. In domains of large eventually discontinuous deformation the material is modeled on the grain scale using a three-dimensional discrete element method. In the remaining domain the material is considered continuous and modeled by the finite element method using an elasto-plastic constitutive equation whose parameters are fit to the particle model via a homogenization scheme. The discrete and finite element models are coupled at the interface by the Arlequin method. An overlapping domain is introduced where the overall virtual work is interpolated between both models and compatibility is assured by kinematic constraints. For this purpose the discrete particle displacements are split into a fine and coarse scale part and equality of the coarse scale part and the continuum solution is enforced through the penalty method.",
keywords = "Arlequin method, Discrete element method, Granular material, Homogenization, Multimodel, Multiscale",
author = "Christian Wellmann and Peter Wriggers",
year = "2010",
month = dec,
day = "30",
doi = "10.1016/j.cma.2010.12.023",
language = "English",
volume = "205-208",
pages = "46--58",
journal = "Computer Methods in Applied Mechanics and Engineering",
issn = "0045-7825",
publisher = "Elsevier",
number = "1",

}

Download

TY - JOUR

T1 - A two-scale model of granular materials

AU - Wellmann, Christian

AU - Wriggers, Peter

PY - 2010/12/30

Y1 - 2010/12/30

N2 - A concurrent two-scale and two-method approach for modeling the mechanical behavior of dry frictional non-cohesive granular materials is presented. In domains of large eventually discontinuous deformation the material is modeled on the grain scale using a three-dimensional discrete element method. In the remaining domain the material is considered continuous and modeled by the finite element method using an elasto-plastic constitutive equation whose parameters are fit to the particle model via a homogenization scheme. The discrete and finite element models are coupled at the interface by the Arlequin method. An overlapping domain is introduced where the overall virtual work is interpolated between both models and compatibility is assured by kinematic constraints. For this purpose the discrete particle displacements are split into a fine and coarse scale part and equality of the coarse scale part and the continuum solution is enforced through the penalty method.

AB - A concurrent two-scale and two-method approach for modeling the mechanical behavior of dry frictional non-cohesive granular materials is presented. In domains of large eventually discontinuous deformation the material is modeled on the grain scale using a three-dimensional discrete element method. In the remaining domain the material is considered continuous and modeled by the finite element method using an elasto-plastic constitutive equation whose parameters are fit to the particle model via a homogenization scheme. The discrete and finite element models are coupled at the interface by the Arlequin method. An overlapping domain is introduced where the overall virtual work is interpolated between both models and compatibility is assured by kinematic constraints. For this purpose the discrete particle displacements are split into a fine and coarse scale part and equality of the coarse scale part and the continuum solution is enforced through the penalty method.

KW - Arlequin method

KW - Discrete element method

KW - Granular material

KW - Homogenization

KW - Multimodel

KW - Multiscale

UR - http://www.scopus.com/inward/record.url?scp=84655168094&partnerID=8YFLogxK

U2 - 10.1016/j.cma.2010.12.023

DO - 10.1016/j.cma.2010.12.023

M3 - Article

AN - SCOPUS:84655168094

VL - 205-208

SP - 46

EP - 58

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

SN - 0045-7825

IS - 1

ER -

Von denselben Autoren