FractureMechanicsofPiezoelectricandFerroelectricSolids壓電與鐵電體的斷裂（簡體書）

《壓電與鐵電體的斷裂力學》是關於壓電／鐵電材料斷裂力學的專著，從理論分析、數值計算和實驗觀察三個方面比較全面、系統地闡述了壓電／鐵電材料的電致斷裂問題，強調靜態、動態和界面斷裂問題的力學提法以及力電耦合效應所導致的電致斷裂的物理本質。本書的主要特色是：從晶體學的角度簡要介紹了壓電／鐵電材料的基本特徵；詳細描述了壓電材料的基本方程以及與斷裂問題相關的一般解；以圖的形式提供了大量的數值結果；給出了主題詞和作者索引；用簡潔的語言解釋了複雜的電致斷裂問題。本書可幫助固體力學、材料科學、應用物理和機械工程領域的讀者很容易地抓住問題的物理本質並把握壓電／鐵電材料斷裂力學的研究現狀。．

Dr.Daining Fang，is a professof at eh school of Aerospace，Tsinghua University，China.　Dr.Jinxi Liu，is a professof at the Department of Engineering Mechanics，Shijiazhuang Railway Institute，China.．

《壓電與鐵電體的斷裂力學》可幫助固體力學、材料科學、應用物理和機械工程領域的讀者很容易地抓住問題的物理本質并把握壓電／鐵電材料斷裂力學的研究現狀。

Chapter 1 Introduction1.1 Background of the research on fracture mechanics of piezoelectric/ferroelectric materials1.2 Development course and trend1.3 Framework of the book and content arrangementsReferencesChapter 2 Physical and Material Properties of Dielectrics2.1 Basic concepts of piezoelectric/ferroelectric materials2.2 Crystal structure of dielectric2.3 Properties of electric polarization and piezoelectricity2.3.1 Microscopic mechanism of polarization2.3.2 Physical description of electric polarization2.3.3 Dielectric constant tensor of crystal and its symmetry2.4 Domain switch of ferroelectri2.4.1 Electric domain and domain structure2.4.2 Switching of electric domain and principles for domain switchReferencesChapter 3 Fracture of Piezoelectric/Ferroelectric Materials Experiments and Results3.1 Experimental approaches and techniques under an electromechanical coupling field3.1.1 High-voltage power supply3.1.2 High voltage insulation3.1.3 Moireinterferometry3.1.4 Digital speckle correlation method3.1.5 Method of polarized microscope3.1.6 Experimental facilities3.2 Anisotropy of fracture toughness3.3 Electric field effect on fracture toughness3.4 Fracture behavior of ferroelectric nanocomposites3.5 Measurement of strain field near electrode in double-layer structure of piezoelectric ceramics3.6 Observation of crack types near electrode tip3.7 Experimentalresults and analysis related to ferroelectric single crystal out-of-plane polarized3.7.1 Restorable domain switch at crack tip driven by low electric field3.7.2 Cyclic domain switch driven by cyclic electric field3.7.3 Electric crack propagation and evolution of crack tip electric domain3.8 Experimentalresults and analysis concerning in-plane polarized ferroelectric single crytal3.8.1 Response of specimen under a positive electric field3.8.2 Crack tip domain switch under low negative electric field3.8.3 Domain switching zone near crack tip under negative field3.8.4 Evolution of electric domain near crack tip under alternating electric fieldReferencesChapter 4 Basic Equations of Piezoelectric Materials4.1 Basic equations4.1.1 Piezoelectric equations4.1.2 Gradient equations and balance equations4.2 Constraint relations between various electro elastic constants4.3 Electro elastic constants of piezoelectric materials4.3.1 Coordinate transformation between vector and tensor of the second order4.3.2 Coordinate transformation of electro elastic constants4.3.3 Electroelastic constant matrixes of piezoelectric crystals vested in 20 kinds of point groups4.4 Governing differential equations and boundary conditions of electromechanical coupling problems4.4.1 Governing differential equations of electromechanical coupling problems4.4.2 Boundary conditions of electromechanical couplingReferencesChapter 5 General Solutions to Electromechanical Coupling Problems of Piezoelectric Materials5.1 Extended Stroh formalism for piezoelectricity5.1.1 Extended Stroh formalism5.1.2 Mathematical properties and important relations of Stroh formalism5.2 Lekhniskii formalism for piezoele5.3 General solutions to two-dimensional problems of transversely isotropic piezoelectric materials……Chapter 6 Fracture Mechanics of Homogeneous Piezoelectric MaterialsChapter 7 Interface Fracture Mechanics of Piezoelectric MaterialsChapter 8 Dynamic Fracture Mechanics of Piezoelectric MaterialsChapter 9 Nonlinear Fracture Mechanics of Ferroelectric MaterialsChapter 10 Fracture CriteriaChapter 11 Electro-elastic Concentrations Induced by Electrodes in Piezoelectric MaterialsChapter 12 Electric-Induced Fatigue FractureChapter 13 NumericaIMethod for Analyzing Fracture of Piezoelectric and Ferroelectric MaterialsAppendix The Material Constants of Piezoelectric Ceramics．

Obviously, changing the direction of the electric displacement applied will raisethe degree of stress concentration. Figure 6.4 presents the variations of hoop stresso'0 when negative electric displacement is applied. When electric displacement isless than a certain critical value, the maximun value of hoop stress appears on theplane of θ≠ 0; If we use the maximum tensile stress to judge crack initiation, thenthe crack will grow along the original plane. When electric displacement is morethan the said critical value, the maximun value of hoop stress appears on the planeof θ≠ 0, namely, the crack tends to deviate from its straight line path, and thisphenomenon is called the crack kinking or branching. McHenry and Koepke (1983)are the first to experiment and report the phenomenon of crack kinking propagationof piezoelectric materials under the combined electomechanical loads. Park andSun (1995b) have also encountered the above-mentioned phenomenon in theirexperimental work.
Figure 6.5 and Fig. 6.6 show the distribution of shear stress and hoop stress under the combined shear stress and positive electric displacement. Figure 6.5indicates that when only shear stress is applied, θ≠ 0, is maximum; under thecombined shear stress and electric displacement, the maximum value appearson the plane of θ≠ 0. Figure 6.6 indicates that when electric displacement iscomparatively less, the crack kinking appears on the plane of O< 0,="" moreover,="" theshear="" stress="" applied="" plays="" the="" dominant="" role;="" if="" we="" change="" the="" direction="" of="" shearstress="" or="" electric="" displacement="" applied,="" then="" the="" crack="" kinking="" appears="" on="" theplane="" of="" θ=""> 0.
6.3 Three dimensonal fracture problem
We analyzed the in-plane and anti-plane problems of impermeable cracks inthe above two sections. The cracks related to these two kinds of problems areimpermeable cracks nmning along a certain direction, thus the problems to bediscussed here can be simplified as a plane deformation problem. In engineeringpractice, the cracks found in the material structure or on its surface are generallyimpermeable, such as buried cracks or surface cracks. We understand, accordingto the theory of elasticity, that the electroelastic field of impermeable cracks isusually three-dimensional, so the related problems are called three-dimensionalcrack problems or three-dimensional fracture problems. As compared with thein-plane and anti-plane crack problems, the three-dimensional cracks involve moreunknown quantities and basic equations. In addition, their geometry is somewhatcomplicated. As a result, the theoretical derivation and analysis concerned will bemore sophisticated and difficult.