Elastoplastic Coupling Solution of Circular Openings in Strain-Softening Rock Mass Considering Pressure-Dependent Effect

Zhang, Qiang; Zhang, Chuanhu; Jiang, Binsong; Li, Ning; Wang, Yingchao

doi:10.1061/(asce)gm.1943-5622.0001043

Cited by 59 publications

(19 citation statements)

References 17 publications

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“…where f1 and g1 are the yield criterion and plastic potential function of the σa − σv plane, f2 and g2 are the yield criterion and plastic potential function of the σh − σv plane, λ1 and λ2 are the constants corresponding to f1 and g1 and f2 and g2, respectively, and can be determined based on the consistency condition. According to Equations (5) and (6), when considering strain softening, σa will affect the calculation results. This is further discussed by analyzing the vertical, lateral and axial plastic principal strain increments…”

Section: When σ a Is σ 2 At The Initial Yieldmentioning

confidence: 99%

“…A deep tunnel problem is often simplified to a plane strain problem, and the tangential stress σ t and radial stress σ r are considered to be the maximum principal stress σ 1 and minimum principal stress σ 3, respectively, while the axial stress σ a is assumed to be the intermediate principal stress σ 2 . In many previous analyses [5][6][7], the effect of σ a was not considered, and the axial in-situ stress σ a0 , the initial value of σ a , was ignored. However, Lu, A.-Z.…”

Section: Introductionmentioning

confidence: 99%

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Effect of Axial In-Situ Stress in Deep Tunnel Analysis Considering Strain Softening and Dilatancy

Liu

Lü

et al. 2020

Energies

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In many previous tunnel analyses, the axial in-situ stress was ignored. In this work, its effect on the deformation and failure of the surrounding rock of a deep tunnel was revealed, considering the objective strain softening and dilatancy behavior of the surrounding rock. Analysis based on the incremental plastic flow theory was conducted, and C++ was used to write a constitutive model for numerical simulation to verify and further analyze this effect. Then, the results were validated by the field monitoring data of a coal mine gateway. Results show that the effect of the axial in-situ stress σa0 is more significant when strain softening is considered, compared with the results of a perfectly elastoplastic model. When the axial stress σa is σ1 or σ3 at the initial yield, an increase or decrease in σa0 intensifies the deformation and failure of the surrounding rock. When σa is σ2 at the initial yield, 3D plastic flow partly controlled by σa may occur, and an increase in σa0 intensifies the deformation and failure of the surrounding rock. The effect of σa0 will be amplified by considering dilatancy. Considering both strain softening and dilatancy, when σa0 is close to the tangential in-situ stress σt0 or significantly greater than σt0 (1.5 times), σa will be σ2 or σ1 at the initial yield, and then 3D plastic flow will occur. In the deformation prediction and support design of a deep tunnel, σa0 should not be ignored, and the strain softening and dilatancy behavior of the surrounding rock should be accurately considered.

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Section: When σ a Is σ 2 At The Initial Yieldmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Effect of Axial In-Situ Stress in Deep Tunnel Analysis Considering Strain Softening and Dilatancy

Liu

Lü

et al. 2020

Energies

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“…According to the theory of plasticity, plastic strain depends on the plastic potential, corresponding M-C criteria, the plastic potential [27,28] here is:…”

Section: Governing Equationsmentioning

confidence: 99%

Analytical solution of circular tunnel in elastic-viscoplastic rock mass

Wang

Jiang

Zhang

et al. 2019

Lat. Am. j. solids struct.

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This paper deals with a deep circular tunnel excavated in infinite homogeneous and isotropic elastoviscoplastic rock mass subjected to a hydrostatic initial stresses. The tunnel is divided into the initial plastic, viscoplastic, and elastic zones. By combining the generalized Bingham model with Mohr-Coulomb yield criteria, analytical solutions of the circular tunnel are derived with the consideration of non-associated flow rule and elasto-viscoplasticity. The initial plastic zone is defined as the instantaneous change of rock mass excavation. Based on the initial plastic zone, the stresses in viscoplastic zone are transferred to the deep surrounding rock with time due to the initial earth stresses. The results are compared with the elastic-brittle solution at static conditions, and the solutions of this paper are validated. Moreover, the presented results shows that the stress and displacement of the surrounding rock varies with time, and the solutions can be obtained at different instants of time.

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“…Disasters such as collapse and large deformation may occur during the stress redistribution [1][2][3], in which the original joints propagate and coalesce [4,5]. The joints are filled with organic materials and/or gauges of rocks, which can significantly influence the mechanical behavior of the rocks.…”

Section: Introductionmentioning

confidence: 99%

The Effect of Joint Dip Angle on the Mechanical Behavior of Infilled Jointed Rock Masses under Uniaxial and Biaxial Compressions

et al. 2018

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Due to the complex formation process of a rock mass, a large number of fissures, joints, faults, other defects exist and the defects commonly contain infilled materials. The jointed rock masses are in a complex geological environment, in which the geometric distribution and the boundary condition can greatly affect the mechanical behavior of the infilled jointed rock mass. In this study, the infilled jointed rock mass specimens with different dip angles are prepared using similar materials, and the uniaxial and biaxial compression tests on the specimens are conducted. The effect of the joint dip angle on the mechanical behavior of the infilled jointed rock mass under uniaxial and biaxial compressions is investigated. The results show that the uniaxial compressive strength shows a W-shaped variation, and the biaxial compressive strength shows a V-shaped variation with an increase in the dip angle. Most of the cracks appear in pairs around the joint and occur symmetrically in a bilateral distribution, and the existence of the infilled joints induces a nonlinear mechanical behavior in the specimen. In addition, the specimens exhibit three failure modes under uniaxial compression: splitting failure, step-path failure and planar failure. The specimens present two failure modes under biaxial compression: splitting failure and planar failure.

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Elastoplastic Coupling Solution of Circular Openings in Strain-Softening Rock Mass Considering Pressure-Dependent Effect

Cited by 59 publications

References 17 publications

Effect of Axial In-Situ Stress in Deep Tunnel Analysis Considering Strain Softening and Dilatancy

Effect of Axial In-Situ Stress in Deep Tunnel Analysis Considering Strain Softening and Dilatancy

Analytical solution of circular tunnel in elastic-viscoplastic rock mass

The Effect of Joint Dip Angle on the Mechanical Behavior of Infilled Jointed Rock Masses under Uniaxial and Biaxial Compressions

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