A constitutive model for the deformation of a rock mass containing sets of ubiquitous joints

Wang, Tai‐Tien; Huang, Tsan‐Hwei

doi:10.1016/j.ijrmms.2008.09.011

Cited by 102 publications

(31 citation statements)

References 32 publications

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“…These approaches consider aspects like stiffness Failure may occur in either the rock matrix or along the joints, or both, according to the stress state, the orientation of the joints and the parameters of matrix and joints [24]. More advanced models based on ubiquitous joint or strain-harding/softening ubiquitous joint (subiquitous) were developed in recent years [13,22,[25][26][27] as shown in Figure 1b,c. These approaches consider aspects like stiffness anisotropy in addition to the strength anisotropy, joint spacing, strain softening or bi-linear strength envelopes.…”

Section: Ubiquitous Joint and Related Approachesmentioning

confidence: 99%

“…This method uses a series of stress and strain-rate update algorithms to rule joints closure, slip, and stress distribution inside the computational cells which contain multiple embedded joints. A model with multi-sets of ubiquitous joints with an extended Barton empirical formula was proposed by Wang [22] and pre-and post-peak deformation characteristics of the rock mass were also considered. Many models have been formulated to simulate the effect of joint angle on the strength and deformability of rock masses, but only a few consider several joint sets having different strength parameters and their effects on failure characteristics.…”

Section: Introductionmentioning

confidence: 99%

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Application of the Mohr-Coulomb Yield Criterion for Rocks with Multiple Joint Sets Using Fast Lagrangian Analysis of Continua 2D (FLAC2D) Software

Chang

Konietzky

2018

Energies

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Abstract:The anisotropic behavior of a rock mass with persistent and planar joint sets is mainly governed by the geometrical and mechanical characteristics of the joints. The aim of the study is to develop a continuum-based approach for simulation of multi jointed geomaterials. Within the continuum methods, the discontinuities are regarded as smeared cracks in an implicit manner and all the joint parameters are incorporated into the equivalent constitutive equations. A new equivalent continuum model, called multi-joint model, is developed for jointed rock masses which may contain up to three arbitrary persistent joint sets. The Mohr-Coulomb yield criterion is used to check failure of the intact rock and the joints. The proposed model has solved the issue of multiple plasticity surfaces involved in this approach combined with multiple failure mechanisms. The multi-joint model was implemented into Fast Lagrangian Analysis of Continua software (FLAC) and is verified against the strength anisotropy behavior of jointed rock. A case study considering a circular excavation under uniform and non-uniform in-situ stresses is used to illustrate the practical application. The multi-joint model is compared with the ubiquitous joint model.

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Section: Ubiquitous Joint and Related Approachesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Application of the Mohr-Coulomb Yield Criterion for Rocks with Multiple Joint Sets Using Fast Lagrangian Analysis of Continua 2D (FLAC2D) Software

Chang

Konietzky

2018

Energies

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“…As is known to all, these two different scale flaws affect the jointed rock mass strength and deformability. But many existing studies [1][2][3][4] on the jointed rock mass mechanical behavior only focus on the effect of the joint on rock mass and ignore that of the microcracks. Wang et al [1,5] established a mathematic model for the rock mass with multi-sets of ubiquitous joints and an associated numerical implementation accounting for the anisotropy in strength and deformation induced by the joints.…”

Section: Introductionmentioning

confidence: 99%

“…But many existing studies [1][2][3][4] on the jointed rock mass mechanical behavior only focus on the effect of the joint on rock mass and ignore that of the microcracks. Wang et al [1,5] established a mathematic model for the rock mass with multi-sets of ubiquitous joints and an associated numerical implementation accounting for the anisotropy in strength and deformation induced by the joints. In order to account for the roughness of the discontinuities, Halakatevakis et al [2] extended the original plane of weakness theory by imposing the nonlinear Barton-Bandis shear strength criterion for the discontinuities.…”

Section: Introductionmentioning

confidence: 99%

A Damage Constitutive Model for Rock Mass with Nonpersistently Closed Joints Under Uniaxial Compression

Liu

Zhang

2015

Arab J Sci Eng

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As part of the rock mass, both the macroscopic flaws such as joints and the mesoscopic flaws such as microcracks affect the strength and the deformational behavior of rock mass. Existing models can either handle any one of them alone, and a model which can consider the co-effect of these two kinds of flaws on rock mass mechanical behavior is not yet available. This study focusses on rock mass with nonpersistently closed joints and establishes a new damage constitutive model for it. Firstly, the damage model for the intact rock which contains only the mesoscopic flaws is introduced. Second, the expression of the macroscopic damage variable (tensor) which can consider the joint geometrical and mechanical properties at the same time is obtained based on the energy principle and fracture theory. Third, the damage variable based on coupling the macroscopic and mesoscopic flaws is deduced based on Lemaitre strain equivalence hypothesis, and then the corresponding damage constitutive model for rock mass with nonpersistently closed joints under uniaxial compression is set up. Finally, the test data for the intact rock under uniaxial compression are adopted to validate the proposed model. A series of calculation examples verify that the proposed model is capable of presenting the

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“…Various advanced models combined with either empirical or theoretical formulae have been proposed to explore the more complex phenomena of a rock mass, such as the failure mode and the sliding behavior between blocks. A method that incorporates the deformation and the strength of intact rock and joints is proposed such that the complete pre-and post-peak deformation of rock mass can be obtained (Wang and Huang 2009). Considering the unique stratigraphic characteristics of salt rocks, a new Cosserat-like medium constitutive model is proposed to facilitate the efficient modeling of the mechanical behavior of these formations (Li et al 2009).…”

Section: Introductionmentioning

confidence: 99%

Distinct element modeling of strength variation in jointed rock masses under uniaxial compression

Wang

Duan

Elsworth

et al. 2015

Geomech. Geophys. Geo-energ. Geo-resour.

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Rock masses exhibit strong anisotropy due to the structure of fracture networks embedded within the mass. We use a particulate discrete element method to quantitatively investigate the effect of spacing and inclination angle of the joints on anisotropic strength under uniaxial compression. In all of the numerical models, the intact rock masses are represented by the bonded particle model, and the joint planes are simulated by the smooth-joint model. Observations are made of the evolving stress-strain curves relative to the distribution and orientation of micro fractures. Apparent from this is that: (1) for the same fracture spacing, the strength and deformation parameters of jointed rock masses change in a ''U'' shaped curve when plotted against an increase in the inclination angle of the joints. The maximum value occurs at the inclination angles of 0°and 90°, and the minimum value occurs at an inclination angle of 40°or 50°; (2) for the same joint spacing, the failure mode of the jointed rock mass with different joint inclinations can be classified into three categories: splitting tensile failure, shear sliding failure along the joint surface and mixed failure of the two modes above; (3) for the same joint inclination angle, the normalized compressive strength and normalized elastic modulus both increase with an increase of the normalized joint plane layer spacing.

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A constitutive model for the deformation of a rock mass containing sets of ubiquitous joints

Cited by 102 publications

References 32 publications

Application of the Mohr-Coulomb Yield Criterion for Rocks with Multiple Joint Sets Using Fast Lagrangian Analysis of Continua 2D (FLAC2D) Software

Application of the Mohr-Coulomb Yield Criterion for Rocks with Multiple Joint Sets Using Fast Lagrangian Analysis of Continua 2D (FLAC2D) Software

A Damage Constitutive Model for Rock Mass with Nonpersistently Closed Joints Under Uniaxial Compression

Distinct element modeling of strength variation in jointed rock masses under uniaxial compression

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