메뉴 건너뛰기




Volumn 83, Issue 8-9, 2010, Pages 1206-1236

Homogenization and two-scale simulations of granular materials for different microstructural constraints

Author keywords

Granular materials; Homogenization; Multiscale method; Particle aggregates; Soil mechanics

Indexed keywords

BOUNDARY CONSTRAINTS; COARSE GRAINING; DISCRETE ELEMENT CODES; FINITE ELEMENT MODELS; FRICTIONAL CONTACT; GRANULAR AGGREGATES; GRANULAR MICROSTRUCTURE; HOMOGENIZATION; INTERPARTICLE CONTACTS; MACROSCOPIC STRESS; MICRO-MECHANICAL; MICROMECHANICAL BEHAVIOR; MICROSTRUCTURAL CONSTRAINTS; MULTISCALE METHOD; NUMERICAL EXAMPLE; PARTICLE AGGREGATES; PARTICLE ROTATIONS; PENALTY METHODS; PERIODIC BOUNDARY CONDITIONS; QUASI-STATIC; SHAPED PARTICLES; SOFT CONSTRAINT; SOLID PARTICLES; UPPER AND LOWER BOUNDS;

EID: 77956101209     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.2875     Document Type: Article
Times cited : (71)

References (47)
  • 2
    • 0018705886 scopus 로고
    • The conditions of failure of a face-centered cubic array of uniform rigid spheres
    • Thornton C. The conditions of failure of a face-centered cubic array of uniform rigid spheres. Géotechnique 1979; 29:441-459.
    • (1979) Géotechnique , vol.29 , pp. 441-459
    • Thornton, C.1
  • 4
    • 0023983474 scopus 로고
    • Micromechanical aspects of isotropic granular assemblies with linear contact interactions
    • Bathurst RJ, Rothenburg L. Micromechanical aspects of isotropic granular assemblies with linear contact interactions. Journal of Applied Mechanics 1988; 55:17-23.
    • (1988) Journal of Applied Mechanics , vol.55 , pp. 17-23
    • Bathurst, R.J.1    Rothenburg, L.2
  • 6
    • 33746104082 scopus 로고    scopus 로고
    • Micromechanical definition of the strain tensor of granular assemblies
    • Kruyt NP, Rothenburg L. Micromechanical definition of the strain tensor of granular assemblies. Transactions of the ASME 1996; 118:706-711.
    • (1996) Transactions of The ASME , vol.118 , pp. 706-711
    • Kruyt, N.P.1    Rothenburg, L.2
  • 7
    • 0032131899 scopus 로고    scopus 로고
    • Statistical theories for the elastic moduli of two-dimensional assemblies of granular materials
    • Kruyt NP, Rothenburg L. Statistical theories for the elastic moduli of two-dimensional assemblies of granular materials. International Journal of Engineering Science 1998; 36:1127-1142.
    • (1998) International Journal of Engineering Science , vol.36 , pp. 1127-1142
    • Kruyt, N.P.1    Rothenburg, L.2
  • 11
    • 0018441375 scopus 로고
    • A Discrete Numerical Model For Granular Assemblies
    • Cundall PA, Strack ODL. A discrete numerical model for granular assemblies.Géotechnique 1979; 29(1):47-65.
    • (1979) Géotechnique , vol.29 , Issue.1 , pp. 47-65
    • Cundall, P.A.1    Strack, O.D.L.2
  • 12
    • 0024035088 scopus 로고
    • Formulation of a three-dimensional distinct element model-Part I
    • A scheme to detect and represent contacts in a system composed of many polyhedreal blocks
    • Cundall PA. Formulation of a three-dimensional distinct element model-Part I. A scheme to detect and represent contacts in a system composed of many polyhedreal blocks. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts 1988; 25(3):107-116.
    • (1988) International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts , vol.25 , Issue.3 , pp. 107-116
    • Cundall, P.A.1
  • 15
    • 0000230082 scopus 로고
    • Simulating deformations of granular solids under shear
    • Tillemans H-J, Herrmann HJ. Simulating deformations of granular solids under shear. Physica A 1995; 217: 261-288.
    • (1995) Physica A , vol.217 , pp. 261-288
    • Tillemans, H.-J.1    Herrmann, H.J.2
  • 16
    • 0012034303 scopus 로고
    • Adaptative dynamic relaxation for statics of granular materials
    • Bardet JP, Proubet J. Adaptative dynamic relaxation for statics of granular materials. Computers and Structures 1991; 39:221-229.
    • (1991) Computers and Structures , vol.39 , pp. 221-229
    • Bardet, J.P.1    Proubet, J.2
  • 17
    • 0026614707 scopus 로고
    • Micromechanical features of granular assemblies with planar elliptical particles
    • Rothenburg L, Bathurst RJ. Micromechanical features of granular assemblies with planar elliptical particles. Géotechnique 1992; 42(1):79-95.
    • (1992) Géotechnique , vol.42 , Issue.1 , pp. 79-95
    • Rothenburg, L.1    Bathurst, R.J.2
  • 19
    • 0002226904 scopus 로고
    • Some numerical methods in multibody dynamics: Application to granular materials
    • Moreau JJ. Some numerical methods in multibody dynamics: application to granular materials. European Journal of Mechanics A/Solids 1994; 13(4):93-114.
    • (1994) European Journal of Mechanics A/Solids , vol.13 , Issue.4 , pp. 93-114
    • Moreau, J.J.1
  • 20
    • 0007904163 scopus 로고    scopus 로고
    • Introduction to computational granular mechanics
    • Behaviour of Granular Materials. CISM Courses and Lectures, Springer: Wien, New York
    • Bardet JP. Introduction to computational granular mechanics. Behaviour of Granular Materials. CISM Courses and Lectures No. 385. International Centre for Mechanical Sciences. Springer: Wien, New York, 1998; 99-169.
    • (1998) International Centre For Mechanical Sciences , vol.385 , pp. 99-169
    • Bardet, J.P.1
  • 21
    • 0029408098 scopus 로고
    • Micromechanics of granular media, part I: Generation of overall constitutive equation for assemblies of circular disks
    • Borja RI, Wren JR. Micromechanics of granular media, part I: generation of overall constitutive equation for assemblies of circular disks. Computer Methods in Applied Mechanics and Engineering 1995; 127:13-36.
    • (1995) Computer Methods In Applied Mechanics and Engineering , vol.127 , pp. 13-36
    • Borja, R.I.1    Wren, J.R.2
  • 22
    • 0031079891 scopus 로고    scopus 로고
    • Micromechanics of granular media, part II: Overall tangential moduli and localization model for periodic assemblies of circular disks
    • Wren JR, Borja RI. Micromechanics of granular media, part II: overall tangential moduli and localization model for periodic assemblies of circular disks. Computer Methods in Applied Mechanics and Engineering 1997; 141:221-246.
    • (1997) Computer Methods In Applied Mechanics and Engineering , vol.141 , pp. 221-246
    • Wren, J.R.1    Borja, R.I.2
  • 24
    • 0142027580 scopus 로고    scopus 로고
    • From particle ensembles to Cosserat continua: Homogenization of contact forces towards stresses and couple stresses
    • Ehlers W, Ramm E, Diebels S, D'Addetta GA. From particle ensembles to Cosserat continua: homogenization of contact forces towards stresses and couple stresses. International Journal of Solids and Structures 2003; 40:6681-6702.
    • (2003) International Journal of Solids and Structures , vol.40 , pp. 6681-6702
    • Ehlers, W.1    Ramm, E.2    Diebels, S.3    D'addetta, G.A.4
  • 25
    • 5444237544 scopus 로고    scopus 로고
    • Micro-macro transition for anisotropic, frictional granular packings
    • Luding S. Micro-macro transition for anisotropic, frictional granular packings. International Journal of Solids and Structures 2004; 41:5821-5836.
    • (2004) International Journal of Solids and Structures , vol.41 , pp. 5821-5836
    • Luding, S.1
  • 26
    • 0347930488 scopus 로고    scopus 로고
    • A framework for micro-macro transitions in periodic particle aggregates of granular materials
    • Miehe C, Dettmar J. A framework for micro-macro transitions in periodic particle aggregates of granular materials. Computer Methods in Applied Mechanics and Engineering 2004; 193:225-256.
    • (2004) Computer Methods In Applied Mechanics and Engineering , vol.193 , pp. 225-256
    • Miehe, C.1    Dettmar, J.2
  • 28
    • 0037146840 scopus 로고    scopus 로고
    • Strain-driven homogenization of inelastic microstructures and composites based on an incremental variational formulation
    • Miehe C. Strain-driven homogenization of inelastic microstructures and composites based on an incremental variational formulation. International Journal for Numerical Methods in Engineering 2002; 55:1285-1322.
    • (2002) International Journal For Numerical Methods In Engineering , vol.55 , pp. 1285-1322
    • Miehe, C.1
  • 29
    • 0037474370 scopus 로고    scopus 로고
    • Computational micro-to-macro transitions for discretized micro-structures of heterogeneous materials at finite strains based on the minimization of averaged incremental energy
    • Miehe C. Computational micro-to-macro transitions for discretized micro-structures of heterogeneous materials at finite strains based on the minimization of averaged incremental energy. Computer Methods in Applied Mechanics and Engineering 2003; 192:559-591.
    • (2003) Computer Methods In Applied Mechanics and Engineering , vol.192 , pp. 559-591
    • Miehe, C.1
  • 30
    • 0036778671 scopus 로고    scopus 로고
    • Homogenization of inelastic solid materials at finite strains based on incremental minimization principles
    • Application to the texture analysis of polycrystals
    • Miehe C, Schotte J, Lambrecht M. Homogenization of inelastic solid materials at finite strains based on incremental minimization principles. Application to the texture analysis of polycrystals. Journal of the Mechanics and Physics of Solids 2002; 50:2123-2167.
    • (2002) Journal of The Mechanics and Physics of Solids , vol.50 , pp. 2123-2167
    • Miehe, C.1    Schotte, J.2    Lambrecht, M.3
  • 31
    • 0001155575 scopus 로고
    • On constitutive macro-variables for heterogeneous solids at finite strain
    • Hill R. On constitutive macro-variables for heterogeneous solids at finite strain. Proceedings of the Royal Society of London (Series A) 1972; 326:131-147.
    • (1972) Proceedings of The Royal Society of London (Series A) , vol.326 , pp. 131-147
    • Hill, R.1
  • 33
    • 0003244732 scopus 로고
    • Micromechanics: Overall Properties of Heterogeneous Materials
    • Elsevier Science Publisher B.V.: Amsterdam
    • Nemat-Nasser S, Hori M. Micromechanics: Overall Properties of Heterogeneous Materials. North-Holland series in Applied Mathematics and Mechanics, vol. 36. Elsevier Science Publisher B.V.: Amsterdam, 1993.
    • (1993) North-Holland Series In Applied Mathematics and Mechanics , vol.36
    • Nemat-Nasser, S.1    Hori, M.2
  • 34
    • 34548329525 scopus 로고    scopus 로고
    • On multiscale FE analyses of heterogeneous structures: From homogenization to multigrid solvers
    • Miehe C, Bayreuther C. On multiscale FE analyses of heterogeneous structures: from homogenization to multigrid solvers. International Journal for Numerical Methods in Engineering 2007; 71:1135-1180.
    • (2007) International Journal For Numerical Methods In Engineering , vol.71 , pp. 1135-1180
    • Miehe, C.1    Bayreuther, C.2
  • 36
    • 0018724201 scopus 로고
    • A micropolar continuum theory for the flow of granular materials
    • Kanatani K. A micropolar continuum theory for the flow of granular materials. International Journal of Engineering Science 1979; 17:419-432.
    • (1979) International Journal of Engineering Science , vol.17 , pp. 419-432
    • Kanatani, K.1
  • 37
    • 0023404291 scopus 로고
    • The thickness of shear bands in granular materials
    • Mühlhaus H-B, Vardoulakis I. The thickness of shear bands in granular materials. Géotechnique 1987; 37(3): 271-283.
    • (1987) Géotechnique , vol.37 , Issue.3 , pp. 271-283
    • Mühlhaus, H.-B.1    Vardoulakis, I.2
  • 38
    • 0025664180 scopus 로고    scopus 로고
    • Constitutive relation for a particulate medium with the effect of particle rotation
    • Chang CS, Liao CL. Constitutive relation for a particulate medium with the effect of particle rotation. International Journal of Solids and Structures 1999; 26(4):437-453.
    • (1999) International Journal of Solids and Structures , vol.26 , Issue.4 , pp. 437-453
    • Chang, C.S.1    Liao, C.L.2
  • 39
    • 0002258565 scopus 로고
    • A micromechanical-based micropolar theory for deformation of granular solids
    • Chang CS, Ma L. A micromechanical-based micropolar theory for deformation of granular solids. International Journal of Solids and Structures 1991; 28(1):67-86.
    • (1991) International Journal of Solids and Structures , vol.28 , Issue.1 , pp. 67-86
    • Chang, C.S.1    Ma, L.2
  • 40
    • 0033116492 scopus 로고    scopus 로고
    • Computational homogenization analysis in finite plasticity. simulation of texture development in polycrystalline materials
    • Miehe C, Schröder J, Schotte J. Computational homogenization analysis in finite plasticity. simulation of texture development in polycrystalline materials. Computer Methods in Applied Mechanics and Engineering 1999; 171:387-418.
    • (1999) Computer Methods In Applied Mechanics and Engineering , vol.171 , pp. 387-418
    • Miehe, C.1    Schröder, J.2    Schotte, J.3
  • 41
    • 0342942564 scopus 로고    scopus 로고
    • The effect of particle shape and friction on the stresses in heaps of granular media
    • World Scientific: Singapore
    • Matuttis HG, Luding S. The effect of particle shape and friction on the stresses in heaps of granular media. Friction, Arching and Contact Dynamics. World Scientific: Singapore, 1998.
    • (1998) Friction, Arching and Contact Dynamics
    • Matuttis, H.G.1    Luding, S.2
  • 44
  • 45
    • 0001823382 scopus 로고
    • The behaviour of an assembly of rotund, rigid cohesionless particles-I, II
    • Horne MR. The behaviour of an assembly of rotund, rigid cohesionless particles-I, II. Proceedings of the Royal Society London A 1965; 286:62-97.
    • (1965) Proceedings of The Royal Society London A , vol.286 , pp. 62-97
    • Horne, M.R.1
  • 46
    • 0038743695 scopus 로고
    • Biaxialgerät zur Untersuchung der Festigkeit und Dilatanz von Scherfugen in Böden (A biaxial apparatus for testing of strength and dilatancy of shear bands in solids)
    • Vardoulakis I, Goldscheider M. Biaxialgerät zur Untersuchung der Festigkeit und Dilatanz von Scherfugen in Böden (A biaxial apparatus for testing of strength and dilatancy of shear bands in solids). Geotechnik 1980; 3:19-31.
    • (1980) Geotechnik , vol.3 , pp. 19-31
    • Vardoulakis, I.1    Goldscheider, M.2
  • 47
    • 1942499464 scopus 로고    scopus 로고
    • Strain localization in sand: An overview of the experimental results obtained in Grenoble using stereophotogrammetry
    • Desrues J, Viggiani G. Strain localization in sand: an overview of the experimental results obtained in Grenoble using stereophotogrammetry. International Journal for Numerical and Analytical Methods in Geomechanics 2004; 28:279-321.
    • (2004) International Journal For Numerical and Analytical Methods In Geomechanics , vol.28 , pp. 279-321
    • Desrues, J.1    Viggiani, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.