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Drucker-Prager系列屈服準則在巖土穩(wěn)定分析中的應用研究

發(fā)布時間:2018-08-21 19:44
【摘要】:巖土材料的屈服與破壞是巖土工程中最為基礎也是最為重要的問題,屈服準則應用研究一直是學者研究的熱點問題,前人對此進行了大量的研究工作并取得了豐碩的成果。Drucker-Prager(D-P)系列屈服準則作為Mohr-Coulomb(M-C)準則的修正模型在巖土工程中得到了廣泛應用。然而采用不同的D-P系列屈服準則可能會得到差距較大的結果,為了選用合適的D-P準則以獲取理想的計算結果,文中對不同D-P系列屈服準則進行了比較系統(tǒng)的研究,基于D-P準則對深埋隧道圍巖破碎化分區(qū)提出劃分準則,提出了一種在D-P系列屈服準則間進行邊坡安全系數(shù)轉換的新方法。本文主要研究成果概括如下: (1)在比較巖土類材料與金屬材料特性差異的基礎上,回顧了與之相對應的屈服準則,分析了適合于巖土材料的M-C準則及其修正準則,重點討論了D-P系列屈服準則,指出了D-P系列屈服準則相互之間的關系,揭示了準則的物理意義,給出了不同準則之間的轉換公式,論證了準則轉換強度折減的本質。 (2)詳細介紹了不同松動圈支護理論推導方法及其適用條件,通過分析巖土材料的屈服和破壞,指出屈服和破壞是兩個不同的概念,基于D-P準則對深埋隧道圍巖破碎化分區(qū)提出劃分準則。以梅大高速圣人山隧道為背景,采用現(xiàn)場監(jiān)測和數(shù)值模擬相結合的方法,對比不同理論計算方法松動區(qū)分布與埋深關系,,探究不同屈服準則下各分區(qū)巖體穩(wěn)定性狀態(tài)隨開挖過程的演化規(guī)律。對如何選用合適的D-P系列屈服準則這一問題進行了研究,提出了具體的選擇方法。 (3)介紹了有限元強度折減法基本理論、邊坡穩(wěn)定安全系數(shù)定義,基于前面相關理論,提出了一種在D-P系列屈服準則之間進行邊坡安全系數(shù)轉換的新方法。通過對有關文獻的算例進行分析,對比不同D-P準則計算結果,檢驗了轉換公式的正確性。
[Abstract]:The yield and failure of geotechnical materials is the most basic and important problem in geotechnical engineering. A great deal of research work has been done and a lot of achievements have been made. Drucker-Prager (D-P) series yield criterion is widely used in geotechnical engineering as a modified model of Mohr-Coulomb (M-C) criterion. However, different D-P series yield criteria may result in a large gap. In order to select appropriate D-P criteria to obtain ideal results, different D-P series yield criteria are systematically studied in this paper. Based on D-P criterion, a new method of slope safety factor conversion between D-P series yield criteria is proposed. The main research results of this paper are summarized as follows: (1) on the basis of comparing the characteristics of geotechnical materials and metal materials, the corresponding yield criteria are reviewed, and the M-C criterion and its correction criteria suitable for geotechnical materials are analyzed. The D-P series yield criterion is discussed emphatically, the relationship between D-P series yield criterion is pointed out, the physical meaning of D-P series yield criterion is revealed, and the conversion formula between different criteria is given. The essence of criterion conversion strength reduction is demonstrated. (2) the derivation method of different loose ring support theory and its applicable conditions are introduced in detail. By analyzing the yield and failure of geotechnical materials, it is pointed out that yield and failure are two different concepts. Based on the D-P criterion, a partition criterion is proposed for the fragmentation of surrounding rock of deep buried tunnel. Taking the Shengshan Tunnel of Meida Expressway as the background, the relationship between the distribution of loose zone and the buried depth of different theoretical calculation methods is compared by using the method of field monitoring and numerical simulation. The evolution law of rock mass stability state with excavation process under different yield criteria is studied. This paper studies how to select appropriate D-P series yield criterion, and puts forward the specific selection method. (3) the basic theory of finite element strength reduction method, the definition of slope stability safety factor, based on the previous relevant theory, are introduced. A new method for conversion of slope safety factor between D-P series yield criteria is presented. The correctness of the conversion formula is verified by comparing the calculation results of different D-P criteria with the examples of related literatures.
【學位授予單位】:華南理工大學
【學位級別】:碩士
【學位授予年份】:2014
【分類號】:U452.11

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