考虑损伤效应的岩体裂隙扩展数值模拟研究  

Research on numerical method for crack propagation simulation with consideration of damage effect

作　　者：刘学伟[1] 刘泉声[1,2] 刘滨[1] 何军[2] LIU Xuewei;LIU Quansheng;LIU Bin;HE Jun(State Key Laboratory of Geomechanics and Geotechnical Engineering,Institute of Rock and Soil Mechanics,Chinese Academy of Sciences,Wuhan,Hubei 430071,China;Key Laboratory of Safety for Geotechnical and Structural Engineering of Hubei Province,Wuhan University,Wuhan,Hubei 430072,China)

机构地区：[1]中国科学院武汉岩土力学研究所岩土力学与工程国家重点实验室,湖北武汉430071 [2]武汉大学岩土与结构工程安全湖北省重点实验室,湖北武汉430072

出　　处：《岩石力学与工程学报》2018年第A02期3861-3869,共9页Chinese Journal of Rock Mechanics and Engineering

基　　金：国家重点基础研究发展计划(973)项目(2014CB046904);国家自然科学基金资助项目(41602324,51774267)~~

摘　　要：岩体在工程扰动作用下,内部裂隙极易出现扩展并相互贯通,进而造成工程岩体失稳,严重威胁工程建设的安全。首先,提出采用统计损伤本构模型反映微裂隙萌生对裂隙岩体应力状态造成的影响,在此基础上提出考虑损伤效应的数值流形方法,推导平面应变条件下损伤本构的数值流形离散格式,给出刚度矩阵和荷载矩阵的具体表达形式,提出采用修正的Newton-Raphson方法求解非线性方程组,并给出具体的算法流程。最后,通过典型算例,验证了考虑损伤效应数值流形算法的合理性,并以平煤一矿典型巷道为工程实例,分析裂隙扩展过程和破坏形式。结果表明,改进方法由于考虑到微裂隙造成的试样损伤与强度降低,降低了裂隙起裂和试样失稳强度,能够更合理地描述加载过程中岩体裂隙扩展力学行为。研究结果为裂隙岩体工程的科学设计和安全施工提供了科学依据。The cracks,existing inside the engineering rock mass,are easily to propagate and coalesce under the disturbance of construction,which will threaten the safety of construction. Firstly,a statistical damage constitutive model was proposed to describe the influence of microcosmic cracks on the stress state of rock mass. Then,a modified NMM was proposed to consider the influence of rock damage. The calculation format of the modified NMM stiffness matrix and load matrix for damage constitutive equation under the plane condition and equations of stiffness matrix and incremental iterative were also established. Besides,the modified Newton-Raphson method was used to solve the nonlinear equations of the modified NMM and corresponding algorithm was also introduced. Finally,the effectiveness is verified by a typical example and the calculation differences of the present and modified NMM are discussed. Furthermore,fracture propagation and failure process of a roadway in the Yi coal mine of Pingdingshan was simulated to validate the effectiveness of the proposed method. Because the modified NMM considered the influence of microcosmic cracks on specimen damaging and strength declining,which decrease the initiation and failure strength,as a result,the proposed method can describe the mechanics behavior during loading more reasonable. The research in here is important for scientific designing and safe construction in fractured rock mass.

关 键 词：岩石力学 深部岩体 裂隙扩展 损伤 煤矿巷道 数值流形方法 

分 类 号：TU45[建筑科学—岩土工程]