Elasto-plastic analysis of a circular opening in strain-softening rock mass

Zhang, Qiang; Jiang, Binsong; Wang, Shuilin; Ge, Xiurun; Zhang, Houquan

doi:10.1016/j.ijrmms.2011.11.011

Cited by 100 publications

(61 citation statements)

References 17 publications

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“…This enhancement contradicts the published studies that consider only some of these factors (e.g., Park [4,13]; Alonso et al [14]; Zhang et al [16]; Wang et al [6]; Park et al [12]; Lee and Pietruszczak [15]; Han et al [17]). …”

Section: Innovations Of This Studymentioning

confidence: 73%

“…Most researchers have contributed to knowledge regarding the stress and displacement of tunnels and have solved many technical problems in practice [1][2][3][4][5][6][7][8][9][10]. Nonetheless, few theoretical solutions that incorporate seepage force and hydraulic-mechanical coupling have been reported in technical literatures [11][12][13][14][15][16][17][18][19], particularly those for strain-softening surrounding rock. For example, Brown et al [11] proposed a solution that applies Hoek-Brown (H-B) failure criterion and the elastic strain-softening model, which is solved systematically.…”

Section: Introductionmentioning

confidence: 99%

“…Wang et al [7] proposed a closed-form solution of spherical cavity for elastic brittle-plastic and strainsoftening rock masses. Zhang et al [16] presented a multistep brittle-plastic model for strain-softening surrounding rock. Nonetheless, seepage force was not considered in all of the studies conducted by Wang et al Han et al [17] presented a simple numerical procedure to determine the ground response curve of strain-softening surrounding rock.…”

Section: Introductionmentioning

confidence: 99%

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Theoretical solution for displacement and stress in strain-softening surrounding rock under hydraulic-mechanical coupling

Zou

2015

Sci. China Technol. Sci.

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This study focuses on the stress and displacement of a circular opening that is excavated in a strain-softening rock mass under hydraulic-mechanical coupling. It follows the generalized Hoek-Brown (H-B) failure criterion. Moreover, an improved numerical method and stepwise procedure are proposed. This method considers the deterioration of the strength, deformation, and dilation angle. It also incorporates the hydraulic-mechanical coupling and the variation of elastic strain in the plastic region. Several examples are conducted to demonstrate the validity and accuracy of the proposed solution through MATLAB programming and FLAC software. Parametric studies are also conducted to highlight the influence of hydraulic-mechanical coupling on stress and displacement. Results show that in this case, stress confinement is lower and tunnel convergences are higher than the corresponding stresses and displacements obtained when those factors are not considered. The displacement and plastic radius are also larger than those obtained when hydraulic-mechanical coupling is not considered. strain softening, hydraulic-mechanical coupling, numerical stepwise procedure, circular opening Citation:Zou J F, Li S S. Theoretical solution for displacement and stress in strain-softening surrounding rock under hydraulic-mechanical coupling. Sci China Tech Sci,

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Section: Innovations Of This Studymentioning

confidence: 73%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Theoretical solution for displacement and stress in strain-softening surrounding rock under hydraulic-mechanical coupling

Zou

2015

Sci. China Technol. Sci.

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“…The typical examples for kinds of Mohr-Coulomb rock mass, whose material properties are listed in Table 1 [18,19], are analyzed to illustrate the difference between SS and LS plastic rock mass. And two sets of dilation angle = 0 ∘ and 30 ∘ are considered.…”

Section: Example For Elasto-brittle-plastic Rock Massmentioning

confidence: 99%

Elastoplastic Analysis of Circular Openings in Elasto‐Brittle‐Plastic Rock Mass Based on Logarithmic Strain

Zhang

Min

et al. 2017

Mathematical Problems in Engineering

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Rock-like materials, such as coal and soft rock, often manifest larger deformation features. The prediction values for displacement and failure region based on the commonly used small strain (SS) theory are generally larger than the field test results. Based on the Euler coordinate system, the logarithmic strain (LS) is employed to describe the actual deformation behavior. Both of the stresses and displacement of circular opening in elasto-brittle-plastic rock mass are formulated with differential equations. And a simple approach is proposed to solve the differential equations. The results show that the plastic radius depends on the elastic parameters, that is, Young's modulus and Poisson's ratio, which is different from SS theory. And the plastic radius and displacement of LS rock mass are smaller than those of SS rock mass, and the displacement of LS rock mass is absolutely smaller than the excavation radius. The proposed solutions can provide theoretical foundation for the optimization of supporting structure in underground engineering.

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“…Many researchers have contributed to knowledge on the stress and displacement of tunnels and many technical problems have been solved in practice (Lu et al, 2010;Pan and Brown, 1996;Pan and Reed, 1991;Reed, 1986Reed, , 1988Sharan, 2008;Zhang et al, 2012). However, only a few theoretical solutions that incorporate the effect of out-of-plane stress and the generalised Hoek-Brown (H-B) failure criterion, particularly those for strain-softening surrounding rock, have been reported in the technical literature.…”

Section: Introductionmentioning

confidence: 99%

Numerical approach for strain-softening rock with axial stress

Zou¹,

He²

2016

Proceedings of the Institution of Civil Engineers - Geotechnica

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This study proposes a numerical approach that considers the effect of out-of-plane stress for circular tunnels excavated in strain-softening rock. The entire plastic region is divided into a finite number of concentric rings whose thickness is determined to satisfy equilibrium and compatibility equations internally. The increments of stress and strain for each ring are obtained by successively incorporating the effect of out-of-plane stress. The initial value of the outermost ring is determined using equilibrium and compatibility equations. Numerical solutions of the stress, displacement and plastic radius are derived by considering the effect of out-of-plane stress for circular tunnels excavated in strain-softening rock obeying Mohr-Coulomb or generalised Hoek-Brown failure criteria. The proposed approach is compared with previously proposed solutions. Several examples are presented to validate the accuracy of the proposed approach and the effect of different parameters is determined. The results show that the out-of-plane stress influences stress and displacement distributions in the plastic region. The results also show that the residual and softening plastic radii increase with increasing out-of-plane stress when out-of-plane stress is the major or intermediate principal stress, and the residual and softening radii increase with decreasing out-of-plane stress when out-of-plane stress is the minor principal stress.

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Elasto-plastic analysis of a circular opening in strain-softening rock mass

Cited by 100 publications

References 17 publications

Theoretical solution for displacement and stress in strain-softening surrounding rock under hydraulic-mechanical coupling

Theoretical solution for displacement and stress in strain-softening surrounding rock under hydraulic-mechanical coupling

Elastoplastic Analysis of Circular Openings in Elasto‐Brittle‐Plastic Rock Mass Based on Logarithmic Strain

Numerical approach for strain-softening rock with axial stress

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