A continuum model of jointed rock masses based on micromechanics and its integration algorithm

The paper is devoted to proposing a constitutive model based on micromechanics. The joints in rock masses are treated as penny-shaped inclusion in solid but not through structural planes by considering joint density, closure effect, joint geometry. The mechanical behavior of the joints is represente...

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Published in:Science China Technological Sciences Vol. 54; no. 3; pp. 581 - 590
Main Authors: Zhu, FuWei, Dui, GuanSuo, Ren, QingWen
Format: Journal Article
Language:English
Published: Heidelberg SP Science China Press 01.03.2011
Subjects:
ISSN:1674-7321, 1862-281X
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Abstract The paper is devoted to proposing a constitutive model based on micromechanics. The joints in rock masses are treated as penny-shaped inclusion in solid but not through structural planes by considering joint density, closure effect, joint geometry. The mechanical behavior of the joints is represented by an elasto-plastic constitutive law. Mori-Tanaka method is used to derive the relationship between the joint deformations and macroscopic strains. The incremental stress-strain relationship of rock masses is formulated by taking the volume average of the representative volume element. Meanwhile, the behavior of joints is obtained. By using implicit integration algorithms, the consistent tangent moduli are proposed and the method of updating stresses and joint displacements is presented. Some examples are calculated by ABAQUS user defined material subroutine based on this model.
AbstractList The paper is devoted to proposing a constitutive model based on micromechanics. The joints in rock masses are treated as penny-shaped inclusion in solid but not through structural planes by considering joint density, closure effect, joint geometry. The mechanical behavior of the joints is represented by an elasto-plastic constitutive law. Mori-Tanaka method is used to derive the relationship between the joint deformations and macroscopic strains. The incremental stress-strain relationship of rock masses is formulated by taking the volume average of the representative volume element. Meanwhile, the behavior of joints is obtained. By using implicit integration algorithms, the consistent tangent moduli are proposed and the method of updating stresses and joint displacements is presented. Some examples are calculated by ABAQUS user defined material subroutine based on this model.
Author Ren, QingWen
Zhu, FuWei
Dui, GuanSuo
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  organization: Department of Civil Engineering, Hohai University
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CitedBy_id crossref_primary_10_1007_s10483_025_3230_9
crossref_primary_10_1007_s11431_013_5132_6
crossref_primary_10_1007_s12204_013_1397_y
crossref_primary_10_1016_j_rockmb_2025_100219
Cites_doi 10.1115/1.3167044
10.1002/nag.1610110404
10.1016/0020-7683(76)90044-5
10.1016/0148-9062(93)91721-T
10.1016/0148-9062(85)93227-9
10.1016/S1365-1609(03)00080-7
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Keywords constitutive integration algorithms
Mori-Tanaka
joint rock masses
ABAQUS
consistent tangent moduli
micromechanics
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References Plesha (CR5) 1987; 11
CR6
Yoshida, Horii (CR4) 2004; 41
Krajcinovic (CR1) 1983; 50
Hu (CR3) 1993; 30
Barton, Bandis, Bakhtar (CR7) 1985; 22
Budiansky, O’Connell (CR2) 1976; 12
D. Krajcinovic (4289_CR1) 1983; 50
4289_CR6
H. Yoshida (4289_CR4) 2004; 41
B. Budiansky (4289_CR2) 1976; 12
K. X. Hu (4289_CR3) 1993; 30
N. Barton (4289_CR7) 1985; 22
M. E. Plesha (4289_CR5) 1987; 11
References_xml – volume: 50
  start-page: 355
  year: 1983
  end-page: 360
  ident: CR1
  article-title: Constitutive equations for damaging Materials
  publication-title: J Appl Mech
  doi: 10.1115/1.3167044
– volume: 11
  start-page: 345
  issue: 5
  year: 1987
  end-page: 363
  ident: CR5
  article-title: Constitutive models for rock discontinuities with dilatancy and surface degradation
  publication-title: Int J Numer Anal Meth Geomech
  doi: 10.1002/nag.1610110404
– volume: 12
  start-page: 81
  issue: 1
  year: 1976
  end-page: 97
  ident: CR2
  article-title: Elastic moduli of a cracked solid
  publication-title: Int J Solids Struct
  doi: 10.1016/0020-7683(76)90044-5
– volume: 30
  start-page: 381
  issue: 4
  year: 1993
  end-page: 394
  ident: CR3
  article-title: Estimation of the elastic properties of fractured rock masses
  publication-title: Int J Rock Mech Min Sci Geomech Abs
  doi: 10.1016/0148-9062(93)91721-T
– volume: 22
  start-page: 121
  issue: 4
  year: 1985
  end-page: 140
  ident: CR7
  article-title: Strength, deformation and conductivity coupling of rock joints
  publication-title: Int J Rock Mech Min Sci Geomech Abs
  doi: 10.1016/0148-9062(85)93227-9
– ident: CR6
– volume: 41
  start-page: 119
  issue: 6
  year: 2004
  end-page: 145
  ident: CR4
  article-title: Micromechanics-based continuum model for jointed rock mass and excavation analyses of a large-scale cavern
  publication-title: Int J Rock Mech Min Sci Geomech Abs
  doi: 10.1016/S1365-1609(03)00080-7
– volume: 11
  start-page: 345
  issue: 5
  year: 1987
  ident: 4289_CR5
  publication-title: Int J Numer Anal Meth Geomech
  doi: 10.1002/nag.1610110404
– ident: 4289_CR6
– volume: 50
  start-page: 355
  year: 1983
  ident: 4289_CR1
  publication-title: J Appl Mech
  doi: 10.1115/1.3167044
– volume: 12
  start-page: 81
  issue: 1
  year: 1976
  ident: 4289_CR2
  publication-title: Int J Solids Struct
  doi: 10.1016/0020-7683(76)90044-5
– volume: 30
  start-page: 381
  issue: 4
  year: 1993
  ident: 4289_CR3
  publication-title: Int J Rock Mech Min Sci Geomech Abs
  doi: 10.1016/0148-9062(93)91721-T
– volume: 41
  start-page: 119
  issue: 6
  year: 2004
  ident: 4289_CR4
  publication-title: Int J Rock Mech Min Sci Geomech Abs
  doi: 10.1016/S1365-1609(03)00080-7
– volume: 22
  start-page: 121
  issue: 4
  year: 1985
  ident: 4289_CR7
  publication-title: Int J Rock Mech Min Sci Geomech Abs
  doi: 10.1016/0148-9062(85)93227-9
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Title A continuum model of jointed rock masses based on micromechanics and its integration algorithm
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