Analytic stress solutions for a lined circular tunnel under frictional slip contact conditions

Lu, Aizhong; Yin, Chonglin; Zhang, Ning

doi:10.1016/j.euromechsol.2019.01.008

Cited by 17 publications

(2 citation statements)

References 21 publications

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“…Solving this problem by the complex variable function method can be roughly divided into two categories. The first category is solving double-cavern or multi-cavern problems, and the other category is solving the problems of “one inside another” − Therefore, this paper intends to use the existing grouting diffusion formula to establish the characterization formula of the strength of fractured surrounding rock after grouting reinforcement in the ideal state. − Based on the “one inside another” solution of the complex variable function theory, we derived the analytical formulas of the stress and displacement of the fractured surrounding rock after grouting reinforcement and verified the reliability of the solution by a numerical method. Therefore, we can quantitatively explore the effect of grouting reinforcement on fractured surrounding rock.…”

Section: Introductionmentioning

confidence: 99%

“…As one of the most effective methods for solving plane problems in surrounding rock mechanics, complex variable functions have been favored by many scholars and experts, and many achievements have been made for the problem of a multiconnected domain. − The problem analyzed in this paper is the problem of a multiconnected domain. Solving this problem by the complex variable function method can be roughly divided into two categories.…”

Section: Introductionmentioning

confidence: 99%

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Analytical Solution of the Grouting Reinforcement Response of a Circular Cavern in Deeply Buried Fractured Surrounding Rock under a Nonuniform Stress Field

Liu

Lyu

et al. 2022

ACS Omega

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Grouting is widely utilized to reinforce fractured surrounding rock. However, presently, the secondary stress distribution of fractured surrounding rock after grouting is not distinct, which hinders the accurate evaluation of the grouting effect. Therefore, a complex variable function solution is provided for the evolution of the stress field and the displacement field around the reinforced fractured surrounding rock subjected to a nonuniform load. By comparing the evolution of the stress and radial displacement fields around the cavern, the reinforcement effect on the fractured surrounding rock is quantitatively confirmed. The results show that grouting has an obvious modification effect on fractured surrounding rock: its radial stress and circumferential stress fields are affected to different degrees, and the circumferential stress is more obvious. Grouting makes the circumferential stress peak transfer from the wall of the cavern to the roof and floor of the cavern, which is beneficial to the stability of the cavern. The radial displacement around the cavern also decreases. The displacement of the wall decreases by approximately 24.0%, and the radial displacement of the roof and floor decreases by approximately 61.8%.

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