Dimensional regression relation

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Table of contents

1 Background and literature review 
1.1 Fracture mechanics issues
1.2 Bridge between fracture mechanics and fatigue crack propagation
1.2.1 Fatigue crack propagation behavior
1.2.2 Eects of crack closure and R-ratio on fatigue crack propagation
1.2.3 Plastic work eect ahead of a long propagating fatigue crack
1.2.4 Heat production mechanisms during fatigue crack propagation
1.3 Conclusion of Chapter I
2 Characterization and assessment of the heat sources and their re- sulting temperature elds 
2.1 Theoretical concepts behind the heat sources
2.1.1 Fundamental concepts of thermodynamics
2.1.2 Application of the thermodynamic approach in the presence of a long propagating fatigue crack
2.2 Methodology for quantifying the heat sources
2.3 Material and geometry of the specimens
2.4 Quantication of the heat sources and computation of the associated temperature elds
2.4.1 The thermoelastic source
2.4.2 The intrinsic dissipation due to microplasticity
2.4.3 The cyclic plasticity dissipated into heat in the RCPZ
2.5 Conclusion of Chapter II
3 Thermomechanical analysis – Eects of the heat sources on the SIF 71
3.1 Techniques to solve the SIF solution in crack problems involving thermal stresses
3.2 Methodology and assumptions for computing the thermal corrections of the SIF
3.3 Thermomechanical problem
3.4 Computing the thermal corrections of the SIF
3.4.1 Consequence of the thermoelastic source on the SIF
3.4.2 Consequence on the SIF of the intrinsic dissipation due to microplasticity
3.4.3 The eect on the SIF of cyclic plasticity dissipated into heat in the RCPZ
3.4.4 Comparison of the three thermal eects on the SIF through the applied fatigue crack growth tests
3.5 Consequences of the heat sources on the fatigue crack parameters
3.6 Consequence of the cyclic plasticity dissipated into heat in the RCPZ, on the fatigue crack growth rate
3.7 Conclusion of Chapter III
4 Exploring the consequences of the loading frequency and the ma- terial behavior on the cyclic plasticity dissipated into heat in the RCPZ 
4.1 Eect of the loading frequency on the cyclic plasticity dissipated into heat in the RCPZ
4.2 Another approach to estimate the cyclic plasticity dissipated into heat in the RCPZ
4.2.1 Brief review of the cyclic behavior of materials
4.2.2 Cyclic tension/compression tests to determine the non-linear kinematic hardening coecients of C40 steel
4.2.3 Computing the cyclic plastic dissipation in the RCPZ
4.3 Conclusion of Chapter IV
Conclusions and Prospects
References