메뉴 건너뛰기




Volumn 44, Issue 10, 2007, Pages 3393-3410

Multi-slip gradient formulation for modeling microstructure effects on shear bands in granular materials

Author keywords

Dilatancy; Elastic plastic; Fabric anisotropy; Frictional materials; Gradient deformation; Shear band; Slip

Indexed keywords

ANISOTROPY; GRANULAR MATERIALS; MATHEMATICAL MODELS; MICROSTRUCTURE; POROSITY; SHEAR BANDS;

EID: 33947202628     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2006.09.027     Document Type: Article
Times cited : (14)

References (53)
  • 1
    • 33947199586 scopus 로고    scopus 로고
    • ABAQUS, 2003. Hibbitt, Karlsson and Sorensen Inc, Pawtucket, RI.
  • 3
    • 0035149321 scopus 로고    scopus 로고
    • Finite element simulations of Tennessee marble under plane strain laboratory testing: effect of sample-platen friction on shear band onset
    • Albert R.A., and Rudnicki J.W. Finite element simulations of Tennessee marble under plane strain laboratory testing: effect of sample-platen friction on shear band onset. Mech. Mater. 33 (2001) 47-60
    • (2001) Mech. Mater. , vol.33 , pp. 47-60
    • Albert, R.A.1    Rudnicki, J.W.2
  • 4
    • 33947213725 scopus 로고    scopus 로고
    • Al Hattamleh, O., 2003. Investigation of the deformation of granular materials: a micromechanics approach. Ph.D Thesis, Washington State University.
  • 5
  • 6
    • 0033728854 scopus 로고    scopus 로고
    • Granular materials: constitutive equations and strain localization
    • Anand L., and Gu C. Granular materials: constitutive equations and strain localization. Int. J. Mech. Phys. Solids 48 8 (2000) 1701-1733
    • (2000) Int. J. Mech. Phys. Solids , vol.48 , Issue.8 , pp. 1701-1733
    • Anand, L.1    Gu, C.2
  • 7
    • 0020502883 scopus 로고
    • Plane deformation of ideal granular materials
    • Anand L. Plane deformation of ideal granular materials. J. Mech. Phys. Solids 31 (1983) 105-122
    • (1983) J. Mech. Phys. Solids , vol.31 , pp. 105-122
    • Anand, L.1
  • 8
    • 0018440858 scopus 로고
    • Geometrical effects in the inhomogeneous deformation of ductile single crystals
    • Asaro R.J. Geometrical effects in the inhomogeneous deformation of ductile single crystals. Acta Metallurgica 27 3 (1979) 445-453
    • (1979) Acta Metallurgica , vol.27 , Issue.3 , pp. 445-453
    • Asaro, R.J.1
  • 9
    • 0017473351 scopus 로고
    • Plastic deformation and failure in granular media
    • Arthur J., Dunstan T., Al-Ani Q., and Assadi A. Plastic deformation and failure in granular media. Geotechnique 27 1 (1977) 53-74
    • (1977) Geotechnique , vol.27 , Issue.1 , pp. 53-74
    • Arthur, J.1    Dunstan, T.2    Al-Ani, Q.3    Assadi, A.4
  • 10
    • 0001095687 scopus 로고
    • Double sliding model cyclic deformations of granular materials, including dilatancy effects
    • Balendran B., and Nemat-Nasser S. Double sliding model cyclic deformations of granular materials, including dilatancy effects. Int. J. Mech. Phys. Solids 41 3 (1993) 573-612
    • (1993) Int. J. Mech. Phys. Solids , vol.41 , Issue.3 , pp. 573-612
    • Balendran, B.1    Nemat-Nasser, S.2
  • 11
    • 0025432327 scopus 로고
    • Observations on stress-force-fabric relationships in idealized Granular Materials
    • Bathurst R.J., and Rothenburg L. Observations on stress-force-fabric relationships in idealized Granular Materials. Mech. Mater. 9 (1990) 65-80
    • (1990) Mech. Mater. , vol.9 , pp. 65-80
    • Bathurst, R.J.1    Rothenburg, L.2
  • 12
    • 33947216404 scopus 로고    scopus 로고
    • Bachmat, Y., Bear, J., 1985. On the concept and size of representative elementary volume. In: Advances in Transport Phenomena in Porous Media, Proceeding of the NATO Advanced Study Institute, Conducted at Newyark, Martinus Nijhoff Publishers, DE, 1987, pp. 3-20.
  • 13
    • 33947191818 scopus 로고    scopus 로고
    • Boehler, J.P. (Ed.), 1987. Application of Tensor Functions in Solid Mechanics. Springer Verlag, New York.
  • 14
    • 13844316926 scopus 로고    scopus 로고
    • An elasto-plastic model for granular materials with microstructural consideration
    • Chang C.S., and Hicher P.Y. An elasto-plastic model for granular materials with microstructural consideration. Int. J. Solids Struct. 42 14 (2005) 4258-4277
    • (2005) Int. J. Solids Struct. , vol.42 , Issue.14 , pp. 4258-4277
    • Chang, C.S.1    Hicher, P.Y.2
  • 15
    • 0026908533 scopus 로고
    • Gradient dependent plasticity: formulation and algorithmic aspects
    • de Borst R., and Muhlhaus H.B. Gradient dependent plasticity: formulation and algorithmic aspects. Int. J. Numer. Methods Eng. 35 3 (1992) 521-539
    • (1992) Int. J. Numer. Methods Eng. , vol.35 , Issue.3 , pp. 521-539
    • de Borst, R.1    Muhlhaus, H.B.2
  • 16
    • 1942499464 scopus 로고    scopus 로고
    • Strain localization in sand: an overview of the experimental results obtained in Grenoble using stereophotogrammetry
    • Desrues J., and Viggiani G. Strain localization in sand: an overview of the experimental results obtained in Grenoble using stereophotogrammetry. Int. J. Numer. Anal. Methods Geomech. 28 4 (2004) 279-321
    • (2004) Int. J. Numer. Anal. Methods Geomech. , vol.28 , Issue.4 , pp. 279-321
    • Desrues, J.1    Viggiani, G.2
  • 17
    • 32344444990 scopus 로고    scopus 로고
    • An evaluation of higher-order plasticity theories for predicting size effects and localization
    • Engelen R.A.B., Fleck N.A., Peerlings R.H.J., and Geers M.G.D. An evaluation of higher-order plasticity theories for predicting size effects and localization. Int. J. Solids Struct. 43 7-8 (2006) 1857-1877
    • (2006) Int. J. Solids Struct. , vol.43 , Issue.7-8 , pp. 1857-1877
    • Engelen, R.A.B.1    Fleck, N.A.2    Peerlings, R.H.J.3    Geers, M.G.D.4
  • 18
    • 8344281982 scopus 로고    scopus 로고
    • Multiple shear band development and related instabilities in granular materials
    • Gajo A., Bigoni A.D., and Wood D.M. Multiple shear band development and related instabilities in granular materials. J. Mech. Phys. Solids 52 12 (2004) 2683-2724
    • (2004) J. Mech. Phys. Solids , vol.52 , Issue.12 , pp. 2683-2724
    • Gajo, A.1    Bigoni, A.D.2    Wood, D.M.3
  • 19
    • 0027553173 scopus 로고
    • Shear bands in biaxial tests on dry coarse sand
    • Han C., and Drescher A. Shear bands in biaxial tests on dry coarse sand. Soils Foundations 33 (1993) 118-132
    • (1993) Soils Foundations , vol.33 , pp. 118-132
    • Han, C.1    Drescher, A.2
  • 20
    • 0347600794 scopus 로고    scopus 로고
    • A conventional theory of mechanism-based strain gradient plasticity
    • Huang Y., Qu S., Hwang K.C., Li M., and Gao H. A conventional theory of mechanism-based strain gradient plasticity. Int. J. Plast. 20 4-5 (2004) 753-782
    • (2004) Int. J. Plast. , vol.20 , Issue.4-5 , pp. 753-782
    • Huang, Y.1    Qu, S.2    Hwang, K.C.3    Li, M.4    Gao, H.5
  • 22
    • 7444228688 scopus 로고    scopus 로고
    • On quantitative characterization of microstructures and effective properties
    • Kachanov M., and Sevostianov I. On quantitative characterization of microstructures and effective properties. Int. J. Solids Struct. 42 2 (2005) 309-336
    • (2005) Int. J. Solids Struct. , vol.42 , Issue.2 , pp. 309-336
    • Kachanov, M.1    Sevostianov, I.2
  • 23
    • 33947203841 scopus 로고
    • Stereological determination of structural anisotropy
    • Kanatani K. Stereological determination of structural anisotropy. Int. J. Eng. Sci. 24 2 (1984) 207-222
    • (1984) Int. J. Eng. Sci. , vol.24 , Issue.2 , pp. 207-222
    • Kanatani, K.1
  • 24
    • 2342658608 scopus 로고    scopus 로고
    • Analysis and prediction of shear banding under 3D conditions in granular materials
    • Lade P. Analysis and prediction of shear banding under 3D conditions in granular materials. Soils Foundations 43 4 (2003) 161-172
    • (2003) Soils Foundations , vol.43 , Issue.4 , pp. 161-172
    • Lade, P.1
  • 25
    • 0035419288 scopus 로고    scopus 로고
    • Analysis of shear banding in true triaxial tests on sand
    • Lade P., and Wang Q. Analysis of shear banding in true triaxial tests on sand. J. Eng. Mech., ASCE 127 8 (2001) 762-768
    • (2001) J. Eng. Mech., ASCE , vol.127 , Issue.8 , pp. 762-768
    • Lade, P.1    Wang, Q.2
  • 26
    • 10444236486 scopus 로고    scopus 로고
    • Numerical modelling of nonlinear response of soil. Part 2. Strain localization investigation on sand
    • Liu X., Scarpas A., and Blaauwendraad J. Numerical modelling of nonlinear response of soil. Part 2. Strain localization investigation on sand. Int. J. Solids Struct. 42 7 (2005) 1883-1907
    • (2005) Int. J. Solids Struct. , vol.42 , Issue.7 , pp. 1883-1907
    • Liu, X.1    Scarpas, A.2    Blaauwendraad, J.3
  • 27
    • 0017997079 scopus 로고
    • Initial planar deformation of dilatant granular materials
    • Mehrabadi M.M., and Cowin S.C. Initial planar deformation of dilatant granular materials. J. Mech. Phys. Solids 26 (1978) 269-284
    • (1978) J. Mech. Phys. Solids , vol.26 , pp. 269-284
    • Mehrabadi, M.M.1    Cowin, S.C.2
  • 29
    • 33947255887 scopus 로고    scopus 로고
    • Muhunthan, B., 1991. A micromechanics of steady state, collapse and stress strain modeling of soils. Ph.D. Thesis, Purdue University.
  • 31
    • 0033885710 scopus 로고    scopus 로고
    • Micromechanically based constitutive model for frictional deformation of granular materials
    • Nemat-Nasser S.A. Micromechanically based constitutive model for frictional deformation of granular materials. Int. J. Mech. Phys. Solids 48 (2000) 1463-1541
    • (2000) Int. J. Mech. Phys. Solids , vol.48 , pp. 1463-1541
    • Nemat-Nasser, S.A.1
  • 32
    • 0036008424 scopus 로고    scopus 로고
    • Constitutive relations for cohesionless frictional granular materials
    • Nemat-Nasser S., and Zhang J. Constitutive relations for cohesionless frictional granular materials. Int. J. Plast. 18 2002 (2002) 531-547
    • (2002) Int. J. Plast. , vol.18 , Issue.2002 , pp. 531-547
    • Nemat-Nasser, S.1    Zhang, J.2
  • 33
    • 0020242279 scopus 로고
    • Experimental micromechanical evaluation of strength of granular materials: Effect of particle rolling
    • Oda M., Konishi J., and Nemat-Nasser S. Experimental micromechanical evaluation of strength of granular materials: Effect of particle rolling. Mech. Mater. 1 (1982) 267-283
    • (1982) Mech. Mater. , vol.1 , pp. 267-283
    • Oda, M.1    Konishi, J.2    Nemat-Nasser, S.3
  • 34
    • 0022129997 scopus 로고
    • Stress-induced anisotropy in granular masses
    • Oda M., Nemat-Naaser S., and Konish J. Stress-induced anisotropy in granular masses. Soils Foundations 25 3 (1985) 85-97
    • (1985) Soils Foundations , vol.25 , Issue.3 , pp. 85-97
    • Oda, M.1    Nemat-Naaser, S.2    Konish, J.3
  • 35
    • 0032067906 scopus 로고    scopus 로고
    • Effects of induced anisotropy on the development of shear bands in granular materials
    • Oda M., Kazama H., and Konishi J. Effects of induced anisotropy on the development of shear bands in granular materials. Mech. Mater. 28 1-4 (1998) 103-111
    • (1998) Mech. Mater. , vol.28 , Issue.1-4 , pp. 103-111
    • Oda, M.1    Kazama, H.2    Konishi, J.3
  • 36
    • 0037014434 scopus 로고    scopus 로고
    • Effect of dilatancy on the strain localization of water-saturated elasto-viscoplastic soil
    • Oka F., Higo Y., and Kimoto S. Effect of dilatancy on the strain localization of water-saturated elasto-viscoplastic soil. Int. J. Solids Struct. 39 13-14 (2002) 3625-3647
    • (2002) Int. J. Solids Struct. , vol.39 , Issue.13-14 , pp. 3625-3647
    • Oka, F.1    Higo, Y.2    Kimoto, S.3
  • 37
    • 0024899511 scopus 로고
    • Description of anisotropic response of clays using a tensorial measure of structural disorder
    • Pietruszczak S., and Krucinski D. Description of anisotropic response of clays using a tensorial measure of structural disorder. Mech. Mater. 8 (1989) 237-249
    • (1989) Mech. Mater. , vol.8 , pp. 237-249
    • Pietruszczak, S.1    Krucinski, D.2
  • 38
    • 0024856145 scopus 로고
    • Considerations on soil response to the rotation of principal stress directions
    • Pietruszczak S., and Krucinski D. Considerations on soil response to the rotation of principal stress directions. Comput. Geotech. 8 (1989) 89-110
    • (1989) Comput. Geotech. , vol.8 , pp. 89-110
    • Pietruszczak, S.1    Krucinski, D.2
  • 39
    • 85024152173 scopus 로고
    • The influence of strains in soil mechanics
    • Roscoe k. The influence of strains in soil mechanics. Geotechnique 20 2 (1970) 129-170
    • (1970) Geotechnique , vol.20 , Issue.2 , pp. 129-170
    • Roscoe, k.1
  • 40
    • 0016647841 scopus 로고
    • Conditions for the localization of deformation in pressure sensitive dilatant materials
    • Rudnicki J.W., and Rice J.R. Conditions for the localization of deformation in pressure sensitive dilatant materials. J. Mech. Phys. Solids 23 (1975) 371-394
    • (1975) J. Mech. Phys. Solids , vol.23 , pp. 371-394
    • Rudnicki, J.W.1    Rice, J.R.2
  • 41
    • 0001275882 scopus 로고    scopus 로고
    • A thermodynamical theory of gradient elastoplasticity with dislocation density tensor. I: Fundamentals
    • Shizawa K., and Zbib H.M. A thermodynamical theory of gradient elastoplasticity with dislocation density tensor. I: Fundamentals. Int. J. Plast. 5 9 (1999) 899-938
    • (1999) Int. J. Plast. , vol.5 , Issue.9 , pp. 899-938
    • Shizawa, K.1    Zbib, H.M.2
  • 42
    • 0001211769 scopus 로고
    • A theory of the kinematics of ideal soils under plane strain condition
    • Spencer A.J.M. A theory of the kinematics of ideal soils under plane strain condition. J. Mech. Phys. Solids 12 (1964) 337-351
    • (1964) J. Mech. Phys. Solids , vol.12 , pp. 337-351
    • Spencer, A.J.M.1
  • 43
    • 0037235450 scopus 로고    scopus 로고
    • Double-shearing theory applied to instability and strain localization in granular materials
    • Spencer A.J.M. Double-shearing theory applied to instability and strain localization in granular materials. J. Eng. Math. 45 1 (2003) 55-74
    • (2003) J. Eng. Math. , vol.45 , Issue.1 , pp. 55-74
    • Spencer, A.J.M.1
  • 45
    • 0024935417 scopus 로고
    • Fabric tensors in constitutive equations for granular materials
    • Tobita Y. Fabric tensors in constitutive equations for granular materials. Soils Foundations 29 4 (1989) 99-104
    • (1989) Soils Foundations , vol.29 , Issue.4 , pp. 99-104
    • Tobita, Y.1
  • 46
    • 0018923586 scopus 로고
    • Shear band inclination and shear modulus in biaxial tests
    • Vardoulakis I. Shear band inclination and shear modulus in biaxial tests. Int. J. Numer. Anal. Methods Geomech. 4 (1980) 103-119
    • (1980) Int. J. Numer. Anal. Methods Geomech. , vol.4 , pp. 103-119
    • Vardoulakis, I.1
  • 48
    • 0030238321 scopus 로고    scopus 로고
    • Deformation of water-saturated sand: I. uniform undrained deformation and shear banding
    • Vardoulakis I. Deformation of water-saturated sand: I. uniform undrained deformation and shear banding. Geotechnique 46 3 (1996) 441-456
    • (1996) Geotechnique , vol.46 , Issue.3 , pp. 441-456
    • Vardoulakis, I.1
  • 49
    • 0025224437 scopus 로고
    • The orientation of shear bands in biaxial tests
    • Vermeer P.A. The orientation of shear bands in biaxial tests. Geotechnique 40 2 (1990) 223-236
    • (1990) Geotechnique , vol.40 , Issue.2 , pp. 223-236
    • Vermeer, P.A.1
  • 50
    • 84949410849 scopus 로고
    • A gradient-dependent flow theory of plasticity: application to metal and soil instabilities
    • Zbib H.M., and Aifantis E.C. A gradient-dependent flow theory of plasticity: application to metal and soil instabilities. J. Appl. Mech. Rev., ASME 42 11, 2 (1989) 295-304
    • (1989) J. Appl. Mech. Rev., ASME , vol.42 , Issue.11 , pp. 295-304
    • Zbib, H.M.1    Aifantis, E.C.2
  • 51
    • 0025902534 scopus 로고
    • On the mechanics of large inelastic deformations: noncoaxiality, axial effects in torsion and localization
    • Zbib H.M. On the mechanics of large inelastic deformations: noncoaxiality, axial effects in torsion and localization. Acta Mechanica 87 (1991) 179-196
    • (1991) Acta Mechanica , vol.87 , pp. 179-196
    • Zbib, H.M.1
  • 52
    • 0000921126 scopus 로고
    • On the mechanics of large inelastic deformations; kinematics and constitutive modeling
    • Zbib H.M. On the mechanics of large inelastic deformations; kinematics and constitutive modeling. Acta Mechanica 96 (1993) 119-138
    • (1993) Acta Mechanica , vol.96 , pp. 119-138
    • Zbib, H.M.1
  • 53
    • 0028753753 scopus 로고    scopus 로고
    • Zbib, H.M., 1994. Size effects and shear banding in viscoplasticity with kinematic hardening. In: Batra, R.C., Zbib H.M. (Eds.), International Mechanical Engineering Congress and Exposition, pp. 19-33.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.