本文選題：圓形隧道 + 平面外應力��； 參考：《中南大學》2014年碩士論文

【摘要】：在進行應力應變狀態(tài)的理論研究時,地下工程通常被簡化為無限各向同性均勻巖土介質中靜水壓力作用下圓形截面隧洞的平面應變問題。目前的大多數(shù)研究假定平面外應力為中主應力,不考慮平面外應力對隧道圍巖應力位移的影響,這顯然不滿足復雜地應力條件下工程實際的要求。本文基于圓形隧道平面應變問題,在廣義非線性Hoek-Brown強度準則的基礎上,對地下洞室開挖過程中的應力和位移進行彈塑性分析；基于巖石的彈-脆-塑性模型和非相關聯(lián)流動法則,研究軸向地應力作用下隧道應力、位移及塑性區(qū)半徑的非線性理論解,并通過簡化獲得理想彈塑性模型下的相應理論解；考慮巖體的應變軟化特性,建立考慮軸向應力作用下軟化圍巖的應力與位移的線性和非線性數(shù)值解。取得了如下主要成果： (1)基于廣義Hoek-Brown屈服準則,建立了考慮滲透水壓力下的柱孔和球孔硐室圍巖的應力、位移和塑性區(qū)半徑的解。理論成果具有一定的工程實用價值。 (2)基于廣義Hoek-Brown強度準則和非相關聯(lián)流動準則,考慮軸向地應力作用,建立了彈-脆-塑性圍巖的應力、位移及塑性區(qū)半徑的理論解。將該理論解中的殘余強度值用巖體的峰值強度值替換,獲得了基于廣義非線性Hoek-Brown強度準則并考慮軸向地應力作用下理想彈塑性圍巖的應力、位移及塑性區(qū)半徑的理論解。采用強度參數(shù)等效轉換技術和Wang(2012)的理論方法,驗證了本文理論的正確性和可靠性。 (3)構建了考慮軸向力作用下軟化圍巖應力應變特性的逐步求解方法,基于Mohr-Coulomb和廣義Hoek-Brown強度準則,建立了考慮軸向應力作用下軟化圍巖的應力與位移的數(shù)值解。
[Abstract]:In the theoretical study of stress-strain state, underground engineering is usually simplified as the plane strain problem of circular section tunnel under hydrostatic pressure in infinite isotropic homogeneous rock and soil media. At present, most researches assume that the out-of-plane stress is the middle principal stress, and do not consider the influence of the out-of-plane stress on the stress and displacement of the surrounding rock of the tunnel, which obviously does not meet the practical requirements of the engineering under the complex geostress condition. Based on the plane strain problem of circular tunnel and the generalized nonlinear Hoek-Brown strength criterion, the stress and displacement during the excavation of underground cavern are analyzed by elastic-plastic analysis. Based on the elastic-brittle plastic model of rock and the non-correlated flow rule, the nonlinear theoretical solutions of tunnel stress, displacement and plastic zone radius under axial stress are studied, and the corresponding theoretical solutions under ideal elastic-plastic model are obtained by simplification. Considering the strain softening characteristics of rock mass, the linear and nonlinear numerical solutions of stress and displacement of softening surrounding rock under axial stress are established. The following main results have been achieved: 1) based on the generalized Hoek-Brown yield criterion, the stress, displacement and plastic zone radius of the surrounding rock of the cylindrical and spherical caverns under permeable water pressure are established. The theoretical results have certain engineering practical value. 2) based on the generalized Hoek-Brown strength criterion and the non-associated flow criterion, the theoretical solutions of stress, displacement and radius of plastic zone of elastic-brittle plastic surrounding rock are established considering the action of axial in-situ stress. The residual strength value in the theoretical solution is replaced by the peak strength value of the rock mass, and the theoretical solutions of the stress, displacement and radius of the plastic zone of the ideal elastoplastic surrounding rock under the action of axial in-situ stress are obtained based on the generalized nonlinear Hoek-Brown strength criterion. The validity and reliability of this theory are verified by using the equivalent conversion technique of strength parameters and Wangwei 2012). Based on Mohr-Coulomb and generalized Hoek-Brown strength criterion, the numerical solution of stress and displacement of softening surrounding rock under axial stress is established.
【學位授予單位】：中南大學
【學位級別】：碩士
【學位授予年份】：2014
【分類號】：U451.2

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