目錄
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