Analytical elasto-plastic solution for stress and deformation of surrounding rock in cold region tunnels

Feng, Qiang; Jiang, Binsong; Zhang, Qiang; Wang, Liping

doi:10.1016/j.coldregions.2014.08.001

Cited by 62 publications

(25 citation statements)

References 14 publications

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“…He et al established a modified formula for calculating the deformation of surrounding rocks with time and space effects of tunnel excavation [7]. Feng et al studied the deformation of surrounding rocks in a cold region tunnel and established an elastic-plastic calculation model of surrounding rocks in cold regions [8]. Zhang et al fitted the deformation data of tunnel surrounding rocks and developed an empirical formula for estimating final deformation [9].…”

Section: Introductionmentioning

confidence: 99%

Deformation Characteristics and Influence Factors of a Shallow Tunnel Excavated in Soft Clay with High Plasticity

Lei

Ji-yao

Lin

et al. 2019

Advances in Civil Engineering

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A series of problems, including large deformation of supporting structures, shotcrete peeling, and yielding of the steel frame, occurs constantly during tunnel construction in soft clay layers. These problems considerably raise the risk of tunnel construction. Thus, the deformation characteristics of soft clay around the tunnel during construction must be investigated to guarantee safety. In this research, a field test was conducted on 50 sections of a tunnel, which was built in high-plasticity clay layers. Then, the deformation characteristics of surrounding rocks and influencing laws caused by burial depth, invasion thickness of soft clay, and atmospheric precipitation were discussed. Results indicated that surrounding rocks are most likely to undergo large deformation during tunnel construction when the burial depth of tunnel ranges from 1.5D to 2.5D (D is the tunnel excavation span). Tunnel deformation also increases rapidly when the invasion thickness exceeds 60% of the tunnel height. The ratio between clay thickness and burial depth of the tunnel is another crucial index that could cause a large tunnel deformation as it exceeds 0.25. In addition, a significant correlation was observed between tunnel deformation and rainfall during the construction period. The deformation of surrounding rocks increases rapidly with rainfall and will continually develop for 1-2 weeks when the average daily rainfall is greater than 4 mm.

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Section: Introductionmentioning

confidence: 99%

Deformation Characteristics and Influence Factors of a Shallow Tunnel Excavated in Soft Clay with High Plasticity

Lei

Ji-yao

Lin

et al. 2019

Advances in Civil Engineering

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“…In addition to these theoretical studies, scholars have also performed numerous studies on frost-heave force under real-world working conditions. In tunnel engineering, Gao et al [18] and Feng et al [19] obtained an elastic-plastic analytical solution of the plastic region of tunnel-surrounding rock stress in cold regions. By considering the isotropy of tunnel temperature and the anisotropy of surrounding rock, Xia et al [20] obtained an analytical solution for frost-heave force.…”

Section: Introductionmentioning

confidence: 99%

Experimental Study on Normal Frost-Heave Force Generated from Loess upon Freezing considering Multiple Factors

Zhao

Wang

Jin

et al. 2019

Advances in Materials Science and Engineering

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An experimental study on the normal frost-heave force generated by loess was conducted by subjecting loess with various water contents and densities to different temperature conditions. e experimental results show that the interaction of the three factors has a significant effect on the normal frost-heaving force. Normal frost-heave force increases exponentially with an increase in dry density and linearly with a reduction in the freezing temperature or an increase in water content; of these factors, dry density has the greatest influence on frost-heave force, followed by water content then temperature. A frost-heave force model is developed that includes overall consideration of the interactions of water content, density, and temperature based on fitting of the test results. e value calculated with the model is in good agreement with values measured in verification tests, indicating that the model has high accuracy and can provide scientific guidance for engineering design in loess areas.

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“…Fenner considered tunnel surrounding rocks an ideal elastoplastic medium and initially proposed an elastoplastic analysis for circular tunnel surrounding rocks, which Kastner later revised. After considering the strain softening characteristics to increase the accuracy of solutions, many scholars performed a number of improvements and fresh attempts in the treatment of the surrounding rock constitutive model [7], [8], [9], [10], [11], [12], [13], [14]. For example, Alejano et al [7] presented a more practical elastoplastic analysis by simplifying the surrounding rock constitutive model into a linear "tri-segment" model.…”

Section: Introductionmentioning

confidence: 99%

Elastoplastic Analysis of Tunnel Surrounding Rocks based on the Statistical Damage Constitutive Model

Zhu¹,

Yin²,

Li³

et al. 2016

JESTR

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Accurately determining the stress status of surrounding rocks is difficult as stress in surrounding rocks is redistributed after tunneling. A constitutive model selection of surrounding rocks based on the pre-peak strain hardening characteristics of surrounding rocks is considered to further analyze the mechanical characteristics of tunnel surrounding rocks. Theoretical analysis and analytic calculation were conducted on the stress distribution and the deformation characteristics of tunnel surrounding rocks in this study. The evolution laws of stress, as well as the strain of the elastoplastic zone of tunnel surrounding rocks, and the plastic zone radius along with strain hardening and other relevant factors were also analyzed. Results show that, in view of strain hardening, the mechanical characteristics of surrounding rocks increasingly approaches that of reality and the plastic zone radius achieved is larger than the result of the Kastner solution. Moreover, when the strain hardening stage is shortened, the plastic zone radius initially decreases and then slightly increases; tangential strain and displacement increase in varying degrees as the radial strain gradually decreases; tangential stress peak gradually increases and the sudden change of its distribution curve becomes increasingly evident although radial stress changes are less obvious; and sensitivity of the radius and displacement of the surrounding rock plastic zone that support resistance increase with the increase in mining depth. As a result, the research findings solve, to a certain degree, the problem that the constitutive model of surrounding rocks failed to reflect the true characteristics of surrounding rocks, providing the theoretical foundation of stability analysis and supporting the design of tunnel surrounding rocks.

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Analytical elasto-plastic solution for stress and deformation of surrounding rock in cold region tunnels

Cited by 62 publications

References 14 publications

Deformation Characteristics and Influence Factors of a Shallow Tunnel Excavated in Soft Clay with High Plasticity

Deformation Characteristics and Influence Factors of a Shallow Tunnel Excavated in Soft Clay with High Plasticity

Experimental Study on Normal Frost-Heave Force Generated from Loess upon Freezing considering Multiple Factors

Elastoplastic Analysis of Tunnel Surrounding Rocks based on the Statistical Damage Constitutive Model

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