| 摘要 | 第1-7页 |
| Abstract | 第7-12页 |
| Chapter 1 Introduction | 第12-25页 |
| ·Project background | 第12-14页 |
| ·Research summary on the fracture of automobile glass | 第14-17页 |
| ·Literatures review about numerical fracture analysis | 第17-22页 |
| ·The subregional combined discrete and finite element method | 第17-19页 |
| ·The combined brick discrete and finite element method | 第19-20页 |
| ·The extended finite element method | 第20-21页 |
| ·The isogeometry finite element method | 第21-22页 |
| ·Research key points of the thesis | 第22-25页 |
| Chapter 2 Theories about the combined discrete and finite element method | 第25-51页 |
| ·Introduction of the finite element method | 第25-36页 |
| ·Weak form of the governing equation for solids | 第25-26页 |
| ·Finite element discretization | 第26-31页 |
| ·Numerical integration | 第31-32页 |
| ·Hourglass control | 第32-34页 |
| ·Stress update | 第34-35页 |
| ·The central difference method | 第35-36页 |
| ·Introduction of the discrete element method | 第36-46页 |
| ·Kinematic formulation of the discrete element | 第37-38页 |
| ·Calculation of the relative velocity and displacement | 第38-41页 |
| ·Connective force calculation | 第41-44页 |
| ·Contact force calculation | 第44-45页 |
| ·Contact searching algorithm | 第45-46页 |
| ·Theory of the combined discrete and finite element method | 第46-50页 |
| ·Weak form of the governing equation | 第46-48页 |
| ·Interface force calculation | 第48-49页 |
| ·The time step | 第49-50页 |
| ·Summary | 第50-51页 |
| Chapter 3 Four-point combined discrete and finite element method | 第51-90页 |
| ·Four-point combined discrete and finite element method | 第51-53页 |
| ·Interface force calculation | 第53-54页 |
| ·Cohesive fracture model | 第54-57页 |
| ·Averaged stress tensor of the discrete element | 第57-58页 |
| ·Numerical cases: Part I - in the elastic range | 第58-68页 |
| ·Vibration of cantilever beam under impact load | 第59-61页 |
| ·Impact behavior of three-point bending glass beam | 第61-65页 |
| ·Impact response of laminated glass plate | 第65-68页 |
| ·Numerical cases: Part II - brittle fracture | 第68-78页 |
| ·Element-size convergence tests for the cohesive fracture model | 第69-73页 |
| ·Impact fracture of three-point bending glass beam | 第73-75页 |
| ·Impact fracture of laminated glass beam | 第75-78页 |
| ·Impact fracture experiments of laminated glass | 第78-80页 |
| ·Applications in the mixed mode brittle fracture | 第80-89页 |
| ·Simple case 1 of mixed mode fracture | 第81-86页 |
| ·Simple case 2 of mixed mode fracture | 第86-89页 |
| ·Summary | 第89-90页 |
| Chapter 4 Adaptive combined discrete and finite element method | 第90-110页 |
| ·Two-dimensional adaptive combined method | 第90-105页 |
| ·Procedure of the two-dimensional adaptive combined method | 第90-93页 |
| ·Interface force calculation | 第93-95页 |
| ·The equivalent area between the discrete elements | 第95-98页 |
| ·Numerical cases I: Impact fracture of three-point bending glass beam | 第98-102页 |
| ·Numerical cases II: Impact fracture of laminated glass beam | 第102-105页 |
| ·Introduction of the program CDFP | 第105-109页 |
| ·Program structure of CDFP | 第105-107页 |
| ·Introduction about keywords | 第107-109页 |
| ·Summary | 第109-110页 |
| Chapter 5 Conclusions | 第110-113页 |
| ·Conclusions | 第110-111页 |
| ·Recommendations for future work | 第111-113页 |
| References | 第113-130页 |
| Publications | 第130-132页 |
| Acknowledgements | 第132-133页 |
| 学位论文中文缩写版 | 第133-156页 |
| 附件 | 第156页 |
