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对节理岩体的非连续变形与破坏失稳的数值模拟分析是目前岩土力学与工程领域中的前沿课题之一,岩体由节理裂隙以及由其切割而成岩石块体组成,介于连续与非连续之间,由于其内部结构的不确定性造成了其宏观力学行为的复杂性。在讨论了岩体破坏失稳的研究尺度的基础上,从多尺度耦合的角度出发,同时考虑连续问题、非连续问题以及连续问题向非连续问题转化,提出了非连续子母块体理论模型。在非连续子母块体理论模型中,假定岩体与岩体内部被层理、节理等结构面所切割而成的岩石块体均属于宏观尺度,把宏观的岩石块体定义为母块体,用假想的人工节理将其继续分为若干更小的块体,更小的块体称为子块体,子块体为各向同性的均质体,并且在计算中不再发生破坏分解为更小的块体,作为计算分析的基本单元,子块体的研究尺度属于细观尺度。模型也重新定义了子块体间的接触,并将其划分为连续接触与非连续接触两种类型,连续接触在一定条件下发生破坏转化为非连续接触;采用增广拉格朗日乘子法对子块体间的接触进行处理,能够计算出准确的弹簧接触力。
The numerical simulation analysis of discontinuous deformation and failure of jointed rock mass is one of the forefront topics in the field of geotechnical mechanics and engineering. The rock mass is composed of jointed and fractured rocks and blocks cut from it, And non-continuous, due to the uncertainty of its internal structure caused by the complexity of its macro-mechanical behavior. On the basis of discussing the research scale of rock failure instability, from the perspective of multi-scale coupling, we consider the continuous problems, non-continuous problems and continuous problems to the non-continuous problems, and propose the non-continuous sub-mother block theoretical model . In the non-continuous model of sub-block theory, it is assumed that the rock blocks which are cut by layers and joints in the rock mass and the rock mass belong to the macroscopic scale, and the macroscopic rock block is defined as the mother block , The imaginary artificial joints will continue to be divided into several smaller blocks, smaller blocks are called sub-blocks, sub-blocks are isotropic homogeneous bodies, and in the calculation of the destruction does not happen decomposition As a smaller block, as the basic unit of calculation and analysis, the research scale of sub-block belongs to the meso-scale. The model also redefines the contact between sub-blocks and divides them into two types: continuous contact and discontinuous contact. Under continuous contact, under certain conditions, the damage is transformed into discontinuous contact. The augmented Lagrange multiplier The method of dealing with the contact between the sub-blocks can calculate the exact spring contact force.