压电与铁电体的断裂力学

Chapter 1 Introduction

1.1 Background of the research on fracture mechanics of piezoelectric/ferroelectric materials

1.2 Development course and trend

1.3 Framework of the book and content arrangements

References

Chapter 2 Physical and Material Properties of Dielectrics

2.1 Basic concepts of piezoelectric/ferroelectric materials

2.2 Crystal structure of dielectric

2.3 Properties of electric polarization and piezoelectricity

2.3.1 Microscopic mechanism of polarization

2.3.2 Physical description of electric polarization

2.3.3 Dielectric constant tensor of crystal and its symmetry

2.4 Domain switch of ferroelectri

2.4.1 Electric domain and domain structure

2.4.2 Switching of electric domain and principles for domain switch

References

Chapter 3 Fracture of Piezoelectric/Ferroelectric Materials Experiments and Results

3.1 Experimental approaches and techniques under an electromechanical coupling field

3.1.1 High-voltage power supply

3.1.2 High voltage insulation

3.1.3 Moireinterferometry

3.1.4 Digital speckle correlation method

3.1.5 Method of polarized microscope

3.1.6 Experimental facilities

3.2 Anisotropy of fracture toughness

3.3 Electric field effect on fracture toughness

3.4 Fracture behavior of ferroelectric nanocomposites

3.5 Measurement of strain field near electrode in double-layer structure of piezoelectric ceramics

3.6 Observation of crack types near electrode tip

3.7 Experimentalresults and analysis related to ferroelectric single crystal out-of-plane polarized

3.7.1 Restorable domain switch at crack tip driven by low electric field

3.7.2 Cyclic domain switch driven by cyclic electric field

3.7.3 Electric crack propagation and evolution of crack tip electric domain

3.8 Experimentalresults and analysis concerning in-plane polarized ferroelectric single crytal

3.8.1 Response of specimen under a positive electric field

3.8.2 Crack tip domain switch under low negative electric field

3.8.3 Domain switching zone near crack tip under negative field

3.8.4 Evolution of electric domain near crack tip under alternating electric field

References

Chapter 4 Basic Equations of Piezoelectric Materials

4.1 Basic equations

4.1.1 Piezoelectric equations

4.1.2 Gradient equations and balance equations

4.2 Constraint relations between various electro elastic constants

4.3 Electro elastic constants of piezoelectric materials

4.3.1 Coordinate transformation between vector and tensor of the second order

4.3.2 Coordinate transformation of electro elastic constants

4.3.3 Electroelastic constant matrixes of piezoelectric crystals vested in 20 kinds of point groups

4.4 Governing differential equations and boundary conditions of electromechanical coupling problems

4.4.1 Governing differential equations of electromechanical coupling problems

4.4.2 Boundary conditions of electromechanical coupling

References

Chapter 5 General Solutions to Electromechanical Coupling Problems of Piezoelectric Materials

5.1 Extended Stroh formalism for piezoelectricity

5.1.1 Extended Stroh formalism

5.1.2 Mathematical properties and important relations of Stroh formalism

5.2 Lekhniskii formalism for piezoele

5.3 General solutions to two-dimensional problems of transversely isotropic piezoelectric materials

……

Chapter 6 Fracture Mechanics of Homogeneous Piezoelectric Materials

Chapter 7 Interface Fracture Mechanics of Piezoelectric Materials

Chapter 8 Dynamic Fracture Mechanics of Piezoelectric Materials

Chapter 9 Nonlinear Fracture Mechanics of Ferroelectric Materials

Chapter 10 Fracture Criteria

Chapter 11 Electro-elastic Concentrations Induced by Electrodes in Piezoelectric Materials

Chapter 12 Electric-Induced Fatigue Fracture

Chapter 13 NumericaIMethod for Analyzing Fracture of Piezoelectric and Ferroelectric Materials

Appendix The Material Constants of Piezoelectric Ceramics

《压电与铁电体的断裂力学》是关于压电／铁电材料断裂力学的专著，从理论分析、数值计算和实验观察三个方面比较全面、系统地阐述了压电／铁电材料的电致断裂问题，强调静态、动态和界面断裂问题的力学提法以及力电耦合效应所导致的电致断裂的物理本质。本书的主要特色是：从晶体学的角度简要介绍了压电／铁电材料的基本特征；详细描述了压电材料的基本方程以及与断裂问题相关的一般解；以图的形式提供了大量的数值结果；给出了主题词和作者索引；用简洁的语言解释了复杂的电致断裂问题。本书可帮助固体力学、材料科学、应用物理和机械工程领域的读者很容易地抓住问题的物理本质并把握压电／铁电材料断裂力学的研究现状。