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 |
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| Main Authors: | , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Heidelberg
SP Science China Press
01.03.2011
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| ISSN: | 1674-7321, 1862-281X |
| Online Access: | Get full text |
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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. |
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| 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 |
| Author_xml | – sequence: 1 givenname: FuWei surname: Zhu fullname: Zhu, FuWei organization: Institute of Engineering Mechanics, Beijing Jiaotong University – sequence: 2 givenname: GuanSuo surname: Dui fullname: Dui, GuanSuo email: gsdui@bjtu.edu.cn organization: Institute of Engineering Mechanics, Beijing Jiaotong University – sequence: 3 givenname: QingWen surname: Ren fullname: Ren, QingWen organization: Department of Civil Engineering, Hohai University |
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| 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 |
| ContentType | Journal Article |
| Copyright | Science China Press and Springer-Verlag Berlin Heidelberg 2011 |
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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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