目录
Contents
1 Introduction 1
1.1 TBCs and the Corresponding Preparation Methods 2
1.1.1 TBC Materialsand Structures 2
1.1.2 TBC Preparation Methods 4
1.2 TBC Spallation Failure and Its MainIn.uencingFactors 9
1.2.1 Service Conditions for TBCs 9
1.2.2 TBC Spallation Failure and Its MainIn.uencing Factors 10
1.3 Solid Mechanics Requirements and Challenges Generated by TBC Failure 14
1.3.1 Solid Mechanics Requirements Generated by TBC Failure 14
1.3.2 Solid Mechanics Challenges Presented by TBC Failure 17
1.4 Content Overview 21
References 23
2 Basic Theoretical Frameworks for Thermo–Mechano-Chemical Coupling in TBCs 27
2.1 Continuum Mechanics 27
2.2 Theoretical Frameworkfor Thermo–Mechano-Chemical Coupling Basedon Small Deformation 30
2.2.1 Strain and Stress Measures BasedonSmall Deformation[5，6] 30
2.2.2 Stress–Strain Constitutive Relations Based onSmall Deformation[5，6] 47
2.2.3 Constitutive Theoryfor Thermomechanical CouplingBased on Small Deformation[11] 52
2.2.4 Constitutive Theory forThermo–Mechano-Chemical Coupling Basedon Small Deformation[16] 61
2.3 Theoretical Frameworkfor Thermo–Mechano-Chemical Coupling BasedonLarge Deformation 68
2.3.1 Kinematic Description[9] 68
2.3.2 Stressand StrainMeasures 71
2.3.3 Mass Conservation and Force Equilibrium Equations 74
2.3.4 Constitutive Theoryfor Thermomechanical Coupling Basedon Large Deformation[18，25，26] 80
2.3.5 Constitutive Theory for Thermo–Mechano-Chemical Coupling BasedonLarge Deformation 85
2.4 Summary and Out look 93
References 97
3 Nonlinear FEA of TBCs on Turbine Blades 99
3.1 FEAPrinciples 100
3.1.1 Functional Variational Principle 100
3.1.2 WeakFormof theEulerianFormulation 105
3.1.3 FEDiscretizati on of the Eulerian Formulation 108
3.1.4 WeakFormof theLagrangian Formulation 111
3.1.5 FE Discretizati on of the Lagrangian Formulation 113
3.1.6 WeakFormof the Arbitrary Lagrangian–Eulerian Formulation 116
3.1.7 Initial and Boundary Conditions 121
3.2 FE Modeling of TBCs on Turbine Blades 122
3.2.1 Geometric Characteristicsof Turbine Blades 122
3.2.2 Parametric Modelingof Turbine Blades 124
3.3 Mesh Generationfor Turbine Blades 140
3.3.1 Generationof Unstructured Meshes 141
3.3.2 Structured Meshes for Turbine Blades 145
3.4 Image-Based FE Modeling 150
3.4.1 Image-BasedFEM 151
3.4.2 2D TGO Interface Modeling 153
3.4.3 Porous Ceramic Layer Modeling 156
3.4.4 D3TGO Interface Modeling Method 157
3.5 Summaryand Outlook 158
References 159
4 Geometric Nonlinearity Theory for the Interfacial Oxidation of TBCs 163
4.1 Interfacial Oxidation Phenomenon andFailure 164
4.1.1 Characteristics and Patterns of Interfacial Oxidation 164
4.1.2 StressField Inducedby Interfacial Oxidation 167
4.1.3 Coating SpallationInducedby Interfacial Oxidation 170
4.2 TGO Growth Model Basedon Diffusion Reaction 172
4.2.1 Governing Equations 172
4.2.2 FESimulation 178
4.3 Thermo–Chemo–Mechanical CouplingAnalytical Model forInterfacial OxidationofTBCs 188
4.3.1 Thermo–Chemo–Mechanical Coupling Analytical Growth Model forInterfacial Oxidation 188
4.3.2 Thermo–Chemo–Mechanical Coupling Growth Constitutive Relations forInterfacial Oxidation 201
4.3.3 Analysis of theThermo–Mechano-Chemical CouplingGrowthPatterns and Mechanisms DuringInterfacialOxidation 222 References 232
5 Physically Nonlinear Coupling Growth and Damage Caused by Interfacial Oxidation in TBCs 235
5.1 Physically Nonlinear Model forThermo–Mechano–Chemical Coupling Growth Causedby Interfacial Oxidationin TBCs 236
5.1.1 Model Framework 236
5.1.2 Numerical Implementation 243
5.1.3 Resultsand Discussion 246
5.1.4 Analytical Coupling Model for Interfacial Oxidation 252
5.1.5 Comparison with Experimental Results 256
5.2 Interfacial Oxidation Failure Theorythat Integrates the CZM and PFM 262
5.2.1 Integrated CZM and PFM Framework 262
5.2.2 Introductionto PFM 263
5.2.3 Introductionto CZM for Phase-FieldCrack Interactions 267
5.2.4 Numerical Implementation 271
5.2.5 Resultsand Discussion 273
5.3 Summary and Out look 281
5.3.1 Summary 281
5.3.2 Outlook 283
References 283
6 Thermo–Mechano–Chemical Coupling During CMAS Corrosion in TBCs 287
6.1 Correlation Analysisof Molten CMASIn.ltration and Its KeyIn.uencingFactors 288
6.1.1 Theoretical Model for Mol ten CMASIn.ltration Depthin EB-PVD TBCs 288
6.1.2 Experimentsonthe MoltenCMASIn.ltration Depthinan EB-PVD TBC and Its In.uencing Factors 298
6.1.3 CMASIn.ltration Depthinthe EB-PVD TBC and ItsIn.uencing Factors 299
6.1.4 In.ltration of CMAS Meltsin an APS TBC 308
6.2 Microstructural Evolution， Deformation， and Composition Loss of Coatings Dueto Corrosion 312
6.2.1 Microstructural Evolution and Deformation ofCoatings 312
6.2.2 Thermo–Mechano–Che
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