| Chinese Abstract | 第1-12页 |
| English Abstract | 第12-18页 |
| Notation Index | 第18-19页 |
| Chapter 1.Elementary Knowledge | 第19-35页 |
| ·Synopsis of Fractional Calculus (FC) | 第19-24页 |
| ·Synopsis of Mittag-Leffler (M-L) Function | 第24-25页 |
| ·Synopsis of H-Fox function | 第25-30页 |
| ·Viscoelasticity | 第30-35页 |
| Chapter 2.Study on A Fractional Model of Viscoelasticity of Human Cranial Bone | 第35-45页 |
| ·Introduction | 第35-36页 |
| ·Fractional Generalization of the Standard St.Venant Dynamic Model | 第36-38页 |
| ·Solutions of the Fractional St.Venant Model | 第38-41页 |
| ·Data Fitting and Comparing with the Predicted Data of the Standard St.Venant Model with Integer Order | 第41-43页 |
| ·Conclusion | 第43-45页 |
| Chapter 3.Responses of Generalized Fractional Element Network Models under Sinusoidal Loads | 第45-55页 |
| ·Introduction | 第45-47页 |
| ·Stress Response of the GFE Network Zener Model under Sinusoidal Strain Load | 第47-50页 |
| ·Strain Response of the GFE Network Poynting-Thomson Model under Sinusoidal Stress Load | 第50-54页 |
| ·Conclusion | 第54-55页 |
| Chapter 4.Higher-order Fractional Constitutive Equations of Viscoelastic Materials Involving Three Different Parameters and Their Analytical Solutions | 第55-73页 |
| ·Introduction | 第55-57页 |
| ·Higher-order Fractional Constitutive Equations for Viscoelastic Materials | 第57-59页 |
| ·Solutions of Higher-order Fractional Constitutive Equations | 第59-66页 |
| ·Generalized (Fractional Order) Boltzmann Superposition Principle | 第66-68页 |
| ·Discussion | 第68-71页 |
| ·Concluding Remarks | 第71-73页 |
| Bibliography | 第73-83页 |
| Acknowledgements | 第83-84页 |
| Curriculum Vitae | 第84-85页 |
| 学位论文评阅及答辩情况表 | 第85页 |
