| ACKNOWLEDGEMENTS | 第7-9页 |
| ABSTRACT | 第9-11页 |
| 摘要 | 第12-23页 |
| CHAPTER 1 INTRODUCTION | 第23-49页 |
| 1.1 Background | 第23-25页 |
| 1.2 Wave propagation in soft materials | 第25-37页 |
| 1.2.1 Constitutive relations | 第26-31页 |
| 1.2.2 Wave propagation of small amplitude superimposed on finite pre-deformation | 第31-34页 |
| 1.2.3 Solitary waves | 第34-37页 |
| 1.3 Nonlinear ultrasonic technique and its' application | 第37-45页 |
| 1.3.1 Harmonics generated by quadratic and cubic nonlinearities | 第38-42页 |
| 1.3.2 Mixing wave technique | 第42-44页 |
| 1.3.3 Scattering and reflection from a region of nonlinear material | 第44-45页 |
| 1.4 Objectives and outline | 第45-49页 |
| PART 1 SOLITARY WAVES PROPAGATING IN SOFT BARS | 第49-109页 |
| CHAPTER 2 ADJUSTABLE SOLITARY WAVES IN ELECTROACTIVE RODS | 第51-85页 |
| 2.1 Introduction | 第51-52页 |
| 2.2 Nonlinear framework of electroelasticity | 第52-55页 |
| 2.3 Model Equations | 第55-62页 |
| 2.4 Linear dispersion relations | 第62-66页 |
| 2.5 The far-field equation | 第66-73页 |
| 2.6 Numerical investigation and discussions | 第73-79页 |
| 2.6.1 The linear case | 第73-75页 |
| 2.6.2 The nonlinear case | 第75-79页 |
| 2.7 Conclusions | 第79-80页 |
| Appendix 2A | 第80-81页 |
| Appendix 2B | 第81-83页 |
| Appendix 2C | 第83-85页 |
| CHAPTER 3 KINK AND KINK-LIKE WAVES IN PRE-STRETCHED MOONEY-RIVLIN VISCOELASTIC RODS | 第85-109页 |
| 3.1 Introduction | 第85-86页 |
| 3.2 Preliminaries | 第86-94页 |
| 3.2.1 Basic formulations | 第86-88页 |
| 3.2.2 Longitudinal waves with small but finite amplitude | 第88-94页 |
| 3.3 The far-field equation | 第94-98页 |
| 3.3.1 Derivation of the KdV-Bergers equation | 第94-96页 |
| 3.3.2 Travelling wave solutions | 第96-98页 |
| 3.4 Numerical results and discussions | 第98-105页 |
| 3.5 Concluding remarks | 第105-106页 |
| Appendix 3A | 第106页 |
| Appendix 3B | 第106-109页 |
| PART 2 HARMONIC GENERATION IN NONLINEAR MEDIA | 第109-261页 |
| CHAPTER 4 INTERESTING EFFECTS IN HARMONIC GENERACTIONBY PLANE ELASTIC WAVES | 第111-131页 |
| 4.1 Introduction | 第111-112页 |
| 4.2 Governing Equations | 第112-116页 |
| 4.3 Primary transverse wave | 第116-118页 |
| 4.4 Primary longitudinal wave | 第118-121页 |
| 4.5 Reflection of second harmonics from an interface | 第121-127页 |
| 4.5.1 Incident longitudinal wave | 第122-123页 |
| 4.5.2 Incident transverse wave | 第123-125页 |
| 4.5.3 Incidence of two longitudinal waves | 第125-127页 |
| 4.6 Conclusions | 第127-128页 |
| Appendix 4A | 第128-131页 |
| CHAPTER 5 FAR-FIELD RESONANT THIRD HARMONIC SURFACE WAVE ON A HALF-SPACE OF INCOMPRESSIBLE MATERIAL OF CUBIC NONLINEARITY | 第131-149页 |
| 5.1 Introduction | 第131-132页 |
| 5.2 Constitutive relations for nonlinear material behavior | 第132-134页 |
| 5.3 Equations of motion of a surface wave | 第134-135页 |
| 5.4 Surface wave propagation | 第135-145页 |
| 5.5 Transmission through an interface with linear material | 第145-147页 |
| 5.6 Concluding comments | 第147-149页 |
| CHAPTER 6 ANALYSIS OF HARMONICS PROPAGATINGH IN PIPES OF QUADRATIC MATERIAL NONLINEARITY USING SHELL THEORY | 第149-173页 |
| 6.1 Introduction | 第149-150页 |
| 6.2 Basic equations of axisymmetric motion in a pipe derived from nonlinear shell theory | 第150-159页 |
| 6.3 The mixing of longitudinal and torsional waves | 第159-163页 |
| 6.4 The self-interaction of longitudinal waves in a pipe | 第163-171页 |
| 6.5 Conclusions | 第171页 |
| Appendix 6A | 第171-173页 |
| CHAPTER 7 REFLECTION OF ULTRASOUND FROM A REGION OFCUBIC MATERIAL NONLINEARITY DUE TO HARMONIC GENERATION | 第173-197页 |
| 7.1 Introduction | 第173-174页 |
| 7.2 Governing equations | 第174-179页 |
| 7.2.1 Primary longitudinal wave | 第175-177页 |
| 7.2.2 Primary transverse wave | 第177-179页 |
| 7.3 Generation of compensatory waves at the interface | 第179-183页 |
| 7.3.1 Incidence of a longitudinal wave | 第180-181页 |
| 7.3.2 Incidence of a transverse wave | 第181-183页 |
| 7.4 Backscattering from a small zone of cubic material nonlinearity | 第183-191页 |
| 7.4.1 Incidence of a longitudinal wave | 第183-189页 |
| 7.4.2 Incidence of a transverse wave | 第189-191页 |
| 7.5 Determination of the backscattered wave based on the compensatory wave model | 第191-194页 |
| 7.6 Conclusions | 第194-197页 |
| CHAPTER 8 THE EFFECT OF CUBIC MATERIAL NONLINEARITY ON THE PROPAGATION OF TORSIONAL WAVE MODES IN APIPE | 第197-217页 |
| 8.1 Introduction | 第197-198页 |
| 8.2 Governing equations | 第198-201页 |
| 8.3 Higher harmonics | 第201-204页 |
| 8.4 Backscattering from a zone of nonlinearity | 第204-206页 |
| 8.5 Use of the elastodynamic reciprocity theorem | 第206-209页 |
| 8.6 Increase of the amplitude of the backscattered wave | 第209-214页 |
| 8.7 Conclusions | 第214-217页 |
| CHAPTER 9 INTERSECTION OF TWO ELASTIC WAVES AT THE REGION OF MATERIAL NONLINEARITY IN AN ELASTIC LAYER | 第217-253页 |
| 9.1 Introduction | 第217-218页 |
| 9.2 Basic equations | 第218-224页 |
| 9.2.1 Wave motion in an elastic layer with quadratic material nonlinearity | 第218-220页 |
| 9.2.2 Scattering of lowest SH waves from a local zone of material nonlinearity | 第220-224页 |
| 9.3 Use of elastodynamic reciprocity relation | 第224-234页 |
| 9.3.1 Wave motion excited by a point force in x_1-direction | 第224-226页 |
| 9.3.2 The body force in x_1-direction | 第226-227页 |
| 9.3.3 The generation of Lamb wave | 第227-232页 |
| 9.3.4 The generation of SH wave | 第232-234页 |
| 9.4 Total displacement field of scattered wave | 第234-239页 |
| 9.4.1 Wave generation by the force in x_2-direction | 第234-236页 |
| 9.4.2 Wave generation by the surface traction t_3 | 第236-238页 |
| 9.4.3 The total expressions of the scattered waves | 第238-239页 |
| 9.5 Numerical results and discussion | 第239-244页 |
| 9.6 Concluding remarks | 第244-246页 |
| Appendix 9A | 第246-248页 |
| Appendix 9B | 第248-250页 |
| Appendix 9C | 第250-253页 |
| CHAPTER 10 Concluding remarks and future works | 第253-261页 |
| 10.1 Concluding remarks | 第253-258页 |
| 10.2 Future works | 第258-261页 |
| REFERENCES | 第261-273页 |
| BIOGRAPHY | 第273-274页 |
