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
