chapter 1 introduction
1.1 background of the research on fracture mechanics of
piezoelectricferroelectric 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 piezoelectricferroelectric materials
2.2 crystal structure of dielectrics
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 ferroelectrics
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 piezoelectricferroelectric 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 moire interferometry
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 nano-composites
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 experimental results 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 experimental results 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 altemating
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 electroelastic
constants
4.3 electroelastic constants of piezoelectric materials
4.3.1 coordinate transformation between vector and tensor of the
second order
4.3.2 coordinate transformation of electroelastic constants
4.3.3 electroelastic constant matrixes of piezoelectric crystals
vested in 20 kinds of point groups
4.4 goveming 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 piezoelectricity
5.3 general solutions to two-dimensional problems of transversely
isotropic piezoelectric materials
5.3.1 the general solutions to the anti-plane problems of
transversely isotropic piezoelectric materials
5.3.2 the general solutions to the in-plane problems of
transverselyi sotropic piezoelectric materials--stroh method
5.3.3 the general solutions to the in-plane problems of
transverselyi sotropic piezoelectric materials--lekhniskii
method
5.4 general solutions to three-dimensional problems of
transverselyi sotropic piezoelectric materials
references
chapter 6 fracture mechanics of homogeneous piezoelectric
materials
6.1 anti-plane fracture problem
6.2 in-plane fracture problem
6.3 three dimensional fracture problem
6.3.1 description of problem
6.3.2 derivation ofelectroelastic fields
6.4 electromechanical coupling problem for a dielectric elliptic
hole
6.4.1 anti-plane problem of transversely isotropic piezoelctric
material containing dielectric ellipic holes
6.4.2 generalized plane problems of piezoelectric materials
containing a dielectric elliptic hole
6.5 influence on crack tip field imposed by electric boundary
conditions along the crack surface
references
chapter 7 interface fracture mechanics of piezoelectric
materials
7.1 interracial cracks in piezoelectric materials under uniform
electromechanical loads
7.1.1 tip field of interracial crack
7.1.2 full field solutions for an impermeable interfacial
crack
7.2 effect of material properties on interfacial crack tip
field
7.3 green''s functions for piezoelectric materials with
aninterfacial crack
7.3.1 brief review of green''s functions for
piezoelectricmaterials
7.3.2 green''s functions for anti-plane interracial cracks
references
chapter 8 dynamic fracture mechanics of piezoelectric
materials
8.1 scattering of elastic waves in a cracked piezoelectrics
8.1.1 basic concepts concerning propagation of elastic wavein a
piezoelectrics
8.1.2 dominant research work on elastic wave scattering causedby
cracks in piezoelectrics
8.1.3 scattering of love wave caused by interficial cracks
inlayered elastic half-space of piezoelectrics
8.2 moving cracks in piezoelectric medium
8.2.1 anti-plane problems of moving interficial cracks
8.2.2 the plane problem of moving cracks
8.3 transient response of a cracked piezoelectrics to
electromechanicalimpact load
8.3.1 anti-plane problems of cracked piezoelectrics under
impactelectromechanical loads
8.3.2 transient response of crack mode-lli in
strip-shapedpiezoelectric medium
8.3.3 in-plane problems of cracked piezoelectrics under the
actionof impact electromechanical loads
8.4 dynamic crack propagation in piezoelectric materials
8.4.1 dynamic propagation of conducting crack mode-iii
8.4.2 dynamic propagation of dielectric crack mode-m
references
chapter 9 nonlinear fracture mechanics of ferroelectric
materials
9.1 nonlinear fracture mechanical model
9.1.1 electrostriction model
9.1.2 dugdale model strip saturation mode
9.2 domain switching toughening model
9.2.1 decoupled isotropy model
9.2.2 anisotropy model for electromechanical coupling
9.3 nonlinear crack opening displacement model
9.3.1 definition of crack opening displacement
9.3.2 crack opening displacement 8o caused by piezoelectric
effect
9.3.3 effect a8 of domain switching on crack opening
displacement
9.4 interaction between crack tip domain switching of batio3 single
crystal and crack growth under electromechanical load
9.4.1 experiment principle and technology
9.4.2 experimental phenomena
9.4.3 analysis of domain switching zone
9.4.4 ferroelastic domain switching toughening
references
chapter 10 fracture criteria
10.1 stress intensity factor criterion
10.2 energy release rate criterion
10.2.1 total energy release rate criterion
10.2.2 mechanical strain energy release rate criterion
10.3 energy density factor criterion
10.4 further discussion on stress intensity factor criterion
10.5 cod criterion
references
chapter 11 electro-elastic concentrations induced by electrodes
inpiezoelectric materials
11.1 electroelastic field near surface electrodes
11.1.1 electroelastic field near stripe-shapedsurface
electrodes
11.1.2 electroelastic field near circular surface electrodes
11.2 electroelastic field near interface electrode
11.2.1 general solution to the interface electrode of anisotropic
piezoelectric bi-materials
11.2.2 electroelastic field near the interface electrode in
transversely isotropic piezoelectric bi-materials
11.3 electroelastic field in piezoelectric ceramic-electrode
layered structures
11.3.1 laminated structure model, experimental set-up andfinite
element calculation model
11.3.2 numerical calculation and experimentally
measuredresults
references
chapter 12 electric-induced fatigue fracture
12.1 experimental observation and results
12.1.1 electrically induced fatigue experiment by cao andevans
1994
12.1.2 electrically induced fatigue experiment of samplescontaining
penetrating cracks
12.2 phenomenological model
12.2.1 model i
12.2.2 model ii
12.3 domain switching model
12.3.1 electrically induced fatigue investigated by means ofcrack
tip intensity factor
12.3.2 investigation of electrically induced fatigue by means
ofcrack opening displacement cod
references
chapter 13 numerical method foranalyzing fracture of
piezoelectricand ferroelectric materials
13.1 generalized variation principle
13.1.1 generalized variation principle of linear
elasticmechanics
13.1.2 variation principle of electromechanical coupling
problem
13.2 finite element method for piezoelectric material
fracture
13.2.1 basic format of finite element for piezoelectric
fracture
13.2.2 calculation example: the electromechanical field around the
circular hole in an infinite piezoelectric matrix:
13.2.3 calculation example: model of piezoelectric material with
two-sided notches
13.3 meshless method for piezoelectric material fracture
13.3.1 basic format of electromechanical coupling meshless
method
13.3.2 some problems about electromechanical coupling meshless
method
13.3.3 numerical example
13.4 nonlinear finite element analysis of ferroelectric material
fracture
13.4.1 solution of field quantity with given electric domain
distribution
13.4.2 new electric domain distribution and finite element
iterative process determined by field quantity
13.4.3 calculation example: ferroelectric crystal containing
insulating circular hole plus vertical electric field
13.4.4 calculation example: ferroelectric crystal containing
insulating crack plus electric field e = 0.72ec perpendicular to
crack surface
references
appendix the material constants of piezoelectric ceramics
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