Analysis of Deformation of Circular Roadway Considering Effects of Intermediate Principal Stress and Dilatancy

Liu, Wanrong

doi:10.1007/s10706-019-01043-4

Cited by 4 publications

(5 citation statements)

References 14 publications

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“…The results obtained are helpful for reasonable measure selection of surrounding rock, which can save support cost. As can be seen, the greater the weighted coefficient, the larger the two stress components in plastic zones at the same distance from roadway center and corresponding peak circumferential stress; however, with a smaller weighted coefficient, the circumferential stress is increased while radial stress is decreased, which is consistent with results in the literature [17]. Moreover, the location of peak circumferential stress would move to the lefthand side with weighted coefficient increasing.…”

Section: Influence Of Intermediate Principal Stresssupporting

confidence: 89%

“…Zhang [9] and Gao [15] obtained elastoplastic solution which considered effects of dilatancy, strain softening and seepage, while influence of second principal stress is ignored. Based on unified strength theory, Liu [17] obtained analytical expressions considering dilation characteristics and intermediate principal stress, but effect of strain softening and seepage were not considered. Considering effects of strain softening, dilatancy and intermediate principal stress, scholars [11,[18][19][20][21] obtained analytic solutions based on different strength criteria, such as generalized spatially mobilized plane criterion, generalized three-dimensional Hoek-Brown criterion, modified Lade criterion and Drucker-Prager criterion, which indicated that intermediate principal stress had influenced on stress distributions, but the seepage effect was not considered.…”

Section: Introductionmentioning

confidence: 99%

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A Unified Solution for Surrounding Rock of Roadway Considering Seepage, Dilatancy, Strain-Softening and Intermediate Principal Stress

et al. 2022

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The analytic solution for surrounding rock of roadway is of significance for stability analysis and roadway support. However, analytical solution for surrounding rock of roadway which took influences of water seepage, strain softening, dilatancy and intermediate principal stress all into account did not receive much reporting. To promote research in this aspect, a mechanical model simultaneously considering water seepage, strain softening, rock dilatancy, and intermediate principal stress was established based on porous elastoplastic mechanics, and then unified analytical solution for surrounding rock of roadway was obtained. Based on an example, influences of water seepage, strain softening, rock dilatancy, residual cohesion and intermediate principal stress on surrounding rock of roadway were thoroughly investigated using single factor analysis. The obtained results are as follows: radii of plastic zones and surface displacement of roadway would increase exponentially with water pressure increasing and their magnitudes are greater than corresponding values without water seepage considered; with softening modulus increasing, peak circumferential stress location would slightly shift to deeper surrounding rock, while broken zone radius and surface displacement of roadway would increase in a decay velocity; rock dilatancy has little effect on peak circumferential stress and plastic softening zone radius, while broken zone radius and surface displacement of roadway increase linearly with dilatancy coefficient α1 increasing indicating their magnitudes are overestimated if associated flow rule is adopted; with weighted coefficient increasing, stress components in plastic zones at the same distance from roadway center would increase, while radii of two plastic zones and surface displacement of roadway are reduced, i.e., self-bearing capacity of rock is enhanced considering intermediate principal stress effect compared to Mohr–Coulomb criterion; with residual cohesion increasing, peak circumferential stress remains unchanged, while stress components in plastic zones at the same distance from roadway center would increase and radii of two plastic zones decrease significantly. The above results implicated that water seepage effect should be carefully considered for roadway stability under groundwater environment; strain-softening and flow rule of rock should be reasonably analyzed and chosen to accurately predict surface displacement and broken zone radius of roadway; rock bolt length should be increased with softening modulus increasing, while it can be decreased with intermediate principal stress effect considered; grouting measure is an effective measure to improve roadway stability. In short, the research provides a theoretical basis and some practical engineering implication for roadway support.

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Section: Influence Of Intermediate Principal Stresssupporting

confidence: 89%

Section: Introductionmentioning

confidence: 99%

A Unified Solution for Surrounding Rock of Roadway Considering Seepage, Dilatancy, Strain-Softening and Intermediate Principal Stress

et al. 2022

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“…From the previously assumed yield function (Equation ( 16)), using the method of calculating the stress and displacement of the surrounding rock plastic zone used [49], we can obtain:…”

Section: Derivation Of Related Equations For Surrounding Rock Of Deep...mentioning

confidence: 99%

Mechanism of Splitting Failure for High Sidewall Cavern of Hydropower Station Based on Complex Function and Strain Gradient

Zhang

Wen

2021

Energies

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With the rapid development of society, the number of hydropower projects has increased. During the construction of these projects, due to excavation-induced unloading, the high sidewalls of the hydropower station are often subject to splitting failure, which produces many adverse effects on the construction of the cavern. In order to reveal the formation mechanism of splitting failure of hydropower stations, based on the strain gradient theory and elasto-plastic damage theory, we proposed an elasto-plastic damage softening model. Using the ODE45 program in MATLAB, we solved the numerical solution of displacement and stress of circular cavern based on our proposed elastoplastic damage model. Then, we apply the complex function method and use the Schwarz–Christoffel integral formula to obtain the mapping function from the outer domain of the high sidewall cavern to the outer domain of the unit circle. Finally, the elastic-plastic region and displacement distribution of the high sidewall cavern are obtained by mapping the obtained elastic-plastic solution of the circular cavern under the axisymmetric condition. In future research, it is necessary to further study the corresponding relationship between the internal length parameter of the material and its internal microstructure in order to accurately determine the internal length parameter.

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“…Based on the nonassociated flow rule and the plane strain assumption. Liu and Yu 30 accurately matched the Drucker-Prager strength criterion to the Mohr-Coulomb strength criterion for theoretical analysis of deep circular roadways. The ideal elastic-plastic stress and displacement analytical formulas under the impact of intermediate principal stress and dilation angle were derived.…”

Section: Introductionmentioning

confidence: 98%

“…It can be seen that the intermediate principal stress has a significant effect on the strength and mechanical response of rock mass. Some researchers 30,31 divided the roadway surrounding rock into an elastic zone and plastic softening zone, and obtained the elastic-plastic solution through the Drucker-Prager criterion, but ignored the highly excavation damaged zone (HDZ) with poor mechanical properties of the rock mass. This area is positioned near the edge of the excavation area, where macroscale fracturing, splitting or spalling may occur and the surrounding rock is seriously damaged.…”

Section: Introductionmentioning

confidence: 99%

Elastic–plastic criterion solution of deep roadway surrounding rock based on intermediate principal stress and Drucker–Prager criterion

Wang,

Wei,

Jiang

et al. 2024

Energy Science & Engineering

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Excavation‐induced rock failure and deformation near an underground opening boundary is closely associated with the intermediate principal stress, strain softening and rock mass dilation. By combining theoretical analysis and numerical simulation to explore the mechanical evolution of the roadway surrounding rock during excavation. The elastic–plastic criterion solutions for surrounding rock stress, displacement, and the plastic zone of a circular roadway were deduced by including the intermediate principal stress, strain softening and rock mass dilation, based on the Drucker–Prager criterion and the nonassociated flow rule. Furthermore, ABAQUS finite element software was utilized for numerical simulations to scrutinize the influence of mechanical parameters on stress redistribution, surface displacement, and plastic range. The results of the numerical simulations verify the reliability of the theoretical analysis and affirm the high consistency of the results with the theoretical solution. The research findings indicate that the strength of surrounding rock is significantly influenced by the intermediate principal stress, and the deformation and failure of rock mass are primarily impacted by rock mass dilation, while strain softening mainly affects the thickness of the fractured zone. Moreover, the study reveals that enhancing the residual strength of the surrounding rock can improve its resistance to deformation and failure. Furthermore, the excavation of the roadway is observed to increase the original rock stress in the surrounding rock, but increasing the ground support strength effectively controls the deformation and failure of surrounding rock. Ultimately, the research outcomes offer valuable references for engineering calculations and ground support design of surrounding rock in deep roadways.

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Analysis of Deformation of Circular Roadway Considering Effects of Intermediate Principal Stress and Dilatancy

Cited by 4 publications

References 14 publications

A Unified Solution for Surrounding Rock of Roadway Considering Seepage, Dilatancy, Strain-Softening and Intermediate Principal Stress

A Unified Solution for Surrounding Rock of Roadway Considering Seepage, Dilatancy, Strain-Softening and Intermediate Principal Stress

Mechanism of Splitting Failure for High Sidewall Cavern of Hydropower Station Based on Complex Function and Strain Gradient

Elastic–plastic criterion solution of deep roadway surrounding rock based on intermediate principal stress and Drucker–Prager criterion

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