封面
声明
致谢
中文摘要
英文摘要
目录
变量注释表
1 绪论
1.1 研究背景及意义(Research Background and Significance)
1.2 研究现状及不足(Research Development and Deficiencies)
1.3 研究内容及创新点(Research Contents and Innovative Points)
2 扩展有限元方法
2.1 引言(Introduction)
2.2 控制方程及有限元离散( Governing Equation and Finite Element Discretization)
2.3 扩展有限元位移插值函数( Displacement Interpolation Function of the Extended Finite Element Method)
2.4 应力强度因子的计算( Calculation of the Stress Intensity Factors)
2.5 裂纹扩展准则(Criteria for Crack Propagation)
2.6 本章小结(Summary)
3 压剪裂纹及裂纹的分叉、交汇
3.1 引言(Introduction)
3.2 压剪裂纹位移插值函数(Displacement Interpolation Function of the Frictional Crack)
3.3 压剪裂纹控制方程及扩展有限元离散(Governing Equation and Finite Element Discretization of the Frictional Crack)
3.4 分叉和交汇裂纹(Branching and Intersecting of Cracks)
3.5 本章小结(Summary)
4 各向异性岩石裂纹扩展
4.1 引言(Introduction)
4.2 正交各向异性岩石位移插值函数(Displacement Interpolation Function of Orthotropic Rock)
4.3 正交各向异性岩石的应力强度因子的计算(Calculation of the Stress Intensity Factors of Orthotropic Rock)
4.4 正交各向异性岩石裂纹萌生和扩展准则(Initiation and Propagation Criteria of Orthotropic Rock)
4.5 双材料界面间裂纹裂尖增强函数(Tip Enrichment Function of the Bimaterial Interface Crack)
4.6 新型垂直并终止于双材料界面裂纹裂尖增强函数(A New Tip Enrichment Function of the Vertical Crack Terminating Normally at a Bimaterial Interface)
4.7 本章小结(Summary)
5 岩石的动态破裂
5.1 引言(Introduction)
5.2 Newmark 隐式时间积分算法( Newmark Implicit Time Integration Scheme)
5.3 动态应力强度因子的计算(Computation of Dynamic Stress Intensity Factor)
5.4 新型动态断裂裂尖增强方案(A New Crack Tip Enrichment Scheme for Dynamic Fracture)
5.5 动态裂纹扩展准则和裂纹扩展速度( Crack Propagation Criterion and Crack Propagation Speed of Dynamic Fracture)
5.6 本章小结(Summary)
6 流固耦合问题扩展有限元耦合算法
6.1 引言(Introduction)
6.2 流固耦合问题控制方程及有限元离散(Governing Equations and Finite Element Discretization of Hydro-Mechanical Coupling Problem)
6.3 裂隙开度的计算(Calculation of Fracture Apertures)
6.4 水力压裂 Reynolds 方程及其伽辽金有限元离散(Reynolds Equation and Galerkin Finite Element Discretization for the Hydraulic Fracturing Problem)
6.5 水 力 压 裂 问 题 流 固 耦 合 方 程 及 Picard 迭 代( Hydro-Mechanical Coupling Equations and Picard Iteration Approach for the Hydraulic Fracturing Problem)
6.6 爆炸气体流动方程及有限差分离散( Flow Equation of Detonation Gas and its Finite Difference Discretization)
6.7 本章小结(Summary)
7 扩展有限元程序MatMES2D的编写及验证
7.1 引言(Introduction)
7.2 程序结构及输入输出(Program Structure and In-out)
7.3 程序验证和测试(Program Verification and Test)
7.4 本章小结(Summary)
8 应用算例
8.1 引言(Introduction)
8.2 正交各向异性岩石裂纹扩展路径模拟(Simulation of Crack Propagation Path of Orthotropic Rock Mass)
8.3 各向异性巴西圆盘劈裂试验及扩展有限元模拟( The Anisotropy Brazilian Disc Splitting Test and the Extended Finite Element Simulation)
8.4 水力压裂模拟(Simulation of Hydraulic Fracturing)
8.5 岩石爆破模拟(Simulation of Rock Blasting)
8.6 本章小结(Summary)
9 结论与展望
9.1 结论(Conclusions)
9.2 展望(Expectations)
参考文献
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作者简历
学位论文数据集