Fracture Mechanics

  1. Elastic-Plastic Fracture Mechanics
    1. Need for EPFM
      1. LEFM Limitations
        1. Large-Scale Yielding
          1. Ductile Materials
            1. Small Specimens
            2. Ductile Fracture Characteristics
              1. Stable Crack Growth
                1. Tearing Resistance
                  1. Blunting Effects
                  2. Transition Criteria
                    1. Plastic Zone Size Limits
                      1. Specimen Size Effects
                        1. Material Ductility Influence
                      2. J-Integral Theory
                        1. Mathematical Definition
                          1. Path-Independent Integral
                            1. Energy Interpretation
                              1. Contour Integration
                              2. Physical Significance
                                1. Energy Release Rate
                                  1. Crack Driving Force
                                    1. Nonlinear Extension
                                    2. HRR Stress Fields
                                      1. Hutchinson-Rice-Rosengren Solution
                                        1. Stress and Strain Distributions
                                          1. Ramberg-Osgood Materials
                                          2. J-Dominance
                                            1. Near-Tip Field Characterization
                                              1. Validity Requirements
                                                1. Size Constraints
                                                2. Critical J-Integral
                                                  1. JIc as Fracture Criterion
                                                    1. Measurement Procedures
                                                      1. Material Characterization
                                                    2. Crack Tip Opening Displacement
                                                      1. Physical Concept
                                                        1. Crack Mouth Opening
                                                          1. Crack Tip Blunting
                                                            1. Measurement Definitions
                                                            2. CTOD Measurement
                                                              1. Direct Optical Methods
                                                                1. Compliance Techniques
                                                                  1. Clip Gauge Methods
                                                                  2. Relationship to Other Parameters
                                                                    1. CTOD-K Relationships
                                                                      1. CTOD-J Relationships
                                                                        1. Material Property Connections
                                                                        2. Critical CTOD
                                                                          1. Fracture Criterion
                                                                            1. Design Applications
                                                                              1. Standard Test Methods
                                                                            2. Resistance Curve Analysis
                                                                              1. R-Curve Concept
                                                                                1. Crack Growth Resistance
                                                                                  1. Stable Tearing
                                                                                    1. Material Toughening
                                                                                    2. J-R Curve Construction
                                                                                      1. Test Procedures
                                                                                        1. Data Analysis
                                                                                          1. Curve Fitting
                                                                                          2. Tearing Modulus
                                                                                            1. Slope Characterization
                                                                                              1. Material Ranking
                                                                                                1. Design Implications
                                                                                                2. Instability Analysis
                                                                                                  1. Applied Loading Curves
                                                                                                    1. Intersection Criteria
                                                                                                      1. Critical Crack Sizes
                                                                                                    2. Cohesive Zone Models
                                                                                                      1. Theoretical Framework
                                                                                                        1. Fictitious Crack Concept
                                                                                                          1. Process Zone Modeling
                                                                                                            1. Stress Transfer Mechanisms
                                                                                                            2. Traction-Separation Laws
                                                                                                              1. Linear Softening
                                                                                                                1. Exponential Decay
                                                                                                                  1. Bilinear Models
                                                                                                                    1. Material-Specific Forms
                                                                                                                    2. Implementation Methods
                                                                                                                      1. Finite Element Integration
                                                                                                                        1. Numerical Procedures
                                                                                                                          1. Convergence Issues
                                                                                                                          2. Applications
                                                                                                                            1. Interface Debonding
                                                                                                                              1. Composite Delamination
                                                                                                                                1. Concrete Cracking

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                                                                                                                            2. Linear Elastic Fracture Mechanics

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                                                                                                                            4. Fatigue Crack Growth