Drucker-Prager系列屈服准则在岩土稳定分析中的应用研究
发布时间：2018-08-21 19:44
【摘要】：岩土材料的屈服与破坏是岩土工程中最为基础也是最为重要的问题，屈服准则应用研究一直是学者研究的热点问题，前人对此进行了大量的研究工作并取得了丰硕的成果。Drucker-Prager(D-P)系列屈服准则作为Mohr-Coulomb(M-C)准则的修正模型在岩土工程中得到了广泛应用。然而采用不同的D-P系列屈服准则可能会得到差距较大的结果，为了选用合适的D-P准则以获取理想的计算结果，文中对不同D-P系列屈服准则进行了比较系统的研究，基于D-P准则对深埋隧道围岩破碎化分区提出划分准则，提出了一种在D-P系列屈服准则间进行边坡安全系数转换的新方法。本文主要研究成果概括如下： （1）在比较岩土类材料与金属材料特性差异的基础上，回顾了与之相对应的屈服准则，分析了适合于岩土材料的M-C准则及其修正准则，重点讨论了D-P系列屈服准则，指出了D-P系列屈服准则相互之间的关系，揭示了准则的物理意义，给出了不同准则之间的转换公式，论证了准则转换强度折减的本质。 （2）详细介绍了不同松动圈支护理论推导方法及其适用条件，通过分析岩土材料的屈服和破坏，指出屈服和破坏是两个不同的概念，基于D-P准则对深埋隧道围岩破碎化分区提出划分准则。以梅大高速圣人山隧道为背景，采用现场监测和数值模拟相结合的方法，对比不同理论计算方法松动区分布与埋深关系，，探究不同屈服准则下各分区岩体稳定性状态随开挖过程的演化规律。对如何选用合适的D-P系列屈服准则这一问题进行了研究，提出了具体的选择方法。 （3）介绍了有限元强度折减法基本理论、边坡稳定安全系数定义，基于前面相关理论，提出了一种在D-P系列屈服准则之间进行边坡安全系数转换的新方法。通过对有关文献的算例进行分析，对比不同D-P准则计算结果，检验了转换公式的正确性。
[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.
【学位授予单位】：华南理工大学
【学位级别】：硕士
【学位授予年份】：2014
【分类号】：U452.11
本文编号：2196173
[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.
【学位授予单位】：华南理工大学
【学位级别】：硕士
【学位授予年份】：2014
【分类号】：U452.11
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