An analytical solution for stresses and deformations of tunnels in a non-uniform stress field based on strain-softening model and Mogi-Coulomb criterion

Fan, Hao; Wang, Lianguo; Liu, Wanrong

doi:10.1590/1679-78255801

Cited by 7 publications

(4 citation statements)

References 32 publications

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“…Tunnels are one of the most basic facilities in water conservancy engineering, civil engineering, and mining engineering [1][2][3]. The stress distribution of the rock mass changes with the excavation of the tunnel, and the surrounding rock of the tunnel will be deformed if the redistributed stress exceeds the peak strength of the rock mass.…”

Section: Introductionmentioning

confidence: 99%

A New Unified Solution for Deep Tunnels in Water-Rich Areas considering Pore Water Pressure

Fan

Wang

et al. 2021

Geofluids

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Pore water pressure has an important influence on the stresses and deformation of the surrounding rock of deep tunnels in water-rich areas. In this study, a mechanical model for deep tunnels subjected to a nonuniform stress field in water-rich areas is developed. Considering the pore water pressure, a new unified solution for the stresses, postpeak zone radii, and surface displacement is derived based on a strain-softening model and the Mogi-Coulomb criterion. Through a case study, the effects of pore water pressure, intermediate principal stress, and residual cohesion on the stress distribution, postpeak zone radii, and surface displacement are also discussed. Results show that the tangential stresses are always larger than the radial stress. The radial stress presents a gradually increasing trend, while the tangential stress presents a trend of first increasing and then decreasing, and the maximum tangential stress appears at the interface between the elastic and plastic zones. As the pore water pressure increases, the postpeak zone radii and surface displacement increase. Because of the neglect of the intermediate principal stress in the Mohr-Coulomb criterion, the postpeak zone radii, surface displacement, and maximum tangential stress solved by the Mohr-Coulomb criterion are all larger than those solved by the Mogi-Coulomb criterion. Tunnels surrounded by rock masses with a higher residual cohesion experience lower postpeak zone radii and surface displacement. Data presented in this study provide an important theoretical basis for supporting the tunnels in water-rich areas.

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Section: Introductionmentioning

confidence: 99%

A New Unified Solution for Deep Tunnels in Water-Rich Areas considering Pore Water Pressure

Fan

Wang

et al. 2021

Geofluids

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“…The mechanical model of a circular hole in compression is shown in the Fig.12. The analytical expression of stress of the hole when the model subjected to compressive stress σ1 is (Erickson, M. and Durelli, A. J., 1981;Fan, H., et al, 2020):…”

Section: Stress Analysis Of Rock With Circular Hole Under Compressionmentioning

confidence: 99%

Study on failure mechanical characteristics and damage constitutive model of sandstone with different numbers of holes

Peng

Liu

2020

Lat. Am. j. solids struct.

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The existence of holes in rock is one of the key factors for the instability of underground rock mass engineering. Combined with acoustic emission equipment, uniaxial compression tests of rock specimens with different numbers of holes in the rock were carried out. The results show that with the number of holes increases, the value of peak strength and elastic modulus of the rock decrease. The acoustic emission (AE) counts gone through stable, slow increase, a sudden increase and towards zero four stages and there are corresponding to the initial compaction stage, elastic stages, strain hardening stage and post-peak strain softening stage of the stress-strain curves approximately. Based on the AE events, damage variables of rocks were obtained. The damage evolution process of rock can also be divided into three parts, including stable damage stage, slowly increasing damage stage and sharply increasing damage stage. According to Duncan model, the damage variable is introduced to obtain the rock damage constitutive model. No matter it is the pre-peak initial compaction stage, the linear elasticity stage, the strain hardening stage or the post-peak strain softening stage, the fitting curves are in good agreement with the test curves. It also illustrates the rationality of the damage constitutive model.

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“…Tunnels are widely used in civil engineering, traffic engineering, and mining engineering [1,2]. e excavation of the tunnels leads to the redistribution of the in situ stress.…”

Section: Introductionmentioning

confidence: 99%

Stability Analysis of Surrounding Rock in Circular Tunnels Based on Critical Support Pressure

Fan

Wang

2020

Advances in Civil Engineering

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Accurate calculation for the critical support pressure of tunnels plays an important role in tunnel stability evaluation and support design. In this study, a mechanical model for circular tunnels is developed. Considering the intermediate principal stress and strain-softening characteristic of rock mass, the critical support pressure when the plastic zone and damage zone begin to occur is determined based on the unified strength criterion and strain-softening model. Through the example study, the critical support pressure under different intermediate principal stress coefficient is solved. Furthermore, the effect of initial field stress, softening coefficient, and maximum damage variable on the critical support pressure are also discussed. The results show that the critical support pressure and radii of plastic and damage zones all decrease with the increase of the intermediate principal stress coefficient. The larger the initial field stress, the larger the critical support pressure. The softening coefficient and maximum damage variable of rock mass has no influence on the critical support pressure when the plastic zone begins to form, but has a significant effect on the critical support pressure when the damage zone begins to form. As softening coefficient increases and maximum damage variable decreases, the critical support pressure when the damage zone which begins to form increases. Data presented in this contribution provide significant theoretical insights into evaluating tunnel stability and support system reliability.

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An analytical solution for stresses and deformations of tunnels in a non-uniform stress field based on strain-softening model and Mogi-Coulomb criterion

Cited by 7 publications

References 32 publications

A New Unified Solution for Deep Tunnels in Water-Rich Areas considering Pore Water Pressure

A New Unified Solution for Deep Tunnels in Water-Rich Areas considering Pore Water Pressure

Study on failure mechanical characteristics and damage constitutive model of sandstone with different numbers of holes

Stability Analysis of Surrounding Rock in Circular Tunnels Based on Critical Support Pressure

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