Thermoelastic fracture mechanics : multiple crack interactions / Vera Petrova and Siegfried Schmauder.

Format:

Book

Author/Creator:

Petrova, V. (Vera), author.

Series:

Materials Research Foundations Series

Materials Research Foundations Series ; v.159

Language:

English

Subjects (All):

Fracture mechanics--Mathematical models.

Fracture mechanics.

Physical Description:

1 online resource (277 pages)

Edition:

1st ed.

Place of Publication:

Millersville : Materials Research Forum LLC, [2024]

Summary:

The book deals with the thermal and mechanical fracture of functionally graded materials on homogeneous substrate (FGM/H) structures.

Contents:

Intro

Table of Contents

Preface

Acknowledgements

References

Thermal Fracture of a Functionally Graded/Homogeneous Bimaterial with System of Cracks

1. Introduction

2. General formulation of the problem

2.1 FGMs modeling

2.2 Boundary conditions

2.3 Methods used

3. Thermal problem

4. Thermoelastic problem

5. Thermal stress intensity factors

6. Results and discussion

Conclusion

Acknowledgement

Appendix A

Appendix B

Interaction of a System of Cracks with an Interface Crack in Functionally Graded/Homogeneous Bimaterials under Thermo-Mechanical Loading

2. Formulation of the problem

2.1 Geometry of the problem and assumptions

2.2 Thermal problem

2.3 Thermoelastic problem

3. Solution of the problem

3.1 Solution by small parameter method

3.2 Stress intensity factors

4. Parameters of materials

5. Results and discussion

FGM/Homogeneous Bimaterials with Systems of Cracks under Thermo-Mechanical Loading: Analysis by Fracture Criteria

2.2 Thermal and thermoelastic problem formulations

2.3 Solution by small parameter method

2.4 Stress intensity factors

3. Fracture criteria and direction of crack propagation

3.1 Maximum circumferential stress criterion

3.2 Strain energy density criterion

5. Numerical results

Conclusions

Mathematical Modelling and Thermal Stress Intensity Factors Evaluation for an Interface Crack in the Presence of a System of Cracks in Functionally Graded/ Homogeneous Bimaterials

2.2 Thermal problem.

2.3 Thermoelastic problem

4. Cracks with closure

Crack Closure Effects in Thermal Fracture of Functionally Graded/ Homogeneous Bimaterials with Systems of Cracks

2. Formulation of the problem and solution

2.2 Formulation of the thermal and thermoelastic problems

3. Cracks with closure

3.1 Formulation of the problem and solution

3.2 Analysis of the solution

3.3 Influence of contact zones on SIFs

4. Results

4.1 Heat flux

4.2 Thermal and shear loading

Appendix

Revisit of Antiplane Shear Problems for an Interface Crack. Does the Stress Intensity Factor for the Interface Mode III Crack Depend on the Bimaterial Modulus?

2. Review of available solutions for Mode III interface crack problems

3. Interaction of an interface crack with a system of internal cracks

3.1 Formulation of the problem

3.2 Interface crack

3.3 An internal crack in a bimaterial

3.4 Interaction of internal cracks with an interface crack

5.1 Comparison with a closed-form solution

5.2 Structure of the solution

5.3 Influence of systems of small cracks on an interface crack

Acknowledgments

Nomenclature

Appendix A. An interface crack and internal cracks. Formulation of equations

Boundary conditions

Interface crack

Internal cracks in a bimaterial

Internal cracks and an interface crack

Appendix B. Solution of singular integral equations, analytical approximate solution.

Theoretical Modelling and Analysis of Thermal Fracture of Semi-Infinite Functionally Graded Materials with Edge Cracks

3. Solution

3.1 Numerical solution

3.2 Validation

4.1 Material parameters

4.2 Stress intensity factors and fracture angles

4.2.1 Two edge cracks in a homogeneous half-plane

4.2.2 Elastically homogeneous material

4.2.3 Inhomogeneous material, thermal and mechanical loadings

Modeling of Edge Cracks Interaction

2. Problem formulation and assumptions

3. Numerical solutions, Stress intensity factors

4. Critical loads, Fracture angles

5.1 Two arbitrary inclined cracks

5.2 Three arbitrary inclined cracks

5.3 Crack interaction effect

Modeling of Thermo-Mechanical Fracture of FGMs with Respect to Multiple Cracks Interaction

2. Model

2.1 Geometry of the problem

2.2 Modelling of functionally graded materials and examples of FGMs

2.3 Thermal and mechanical loadings

2.4 Main equations

2. Numerical solution and determination of stress intensity factors

3. Fracture criteria, Fracture angles, Critical loads

4. Results and parametric analysis

Fracture of Functionally Graded Thermal Barrier Coating on a Homogeneous Substrate: Models, Methods, Analysis

2. Statement of the problem

2.2 Thermal and mechanical loads

2.3 Assumptions

2.4 Boundary conditions

2.5 Methods

3. Modeling of functionally graded materials and cracks in FGMs

3.1 Models for functionally graded materials

3.2 Models for cracks.

4. Formulation of the integral equations of the problem and solution

4.1 System of singular integral equations

4.2 Solution of the equations

4.2.1 Approximate analytical method

4.2.2 Numerical solution.

5. Fracture criteria

6. Results and analysis

Analysis of Interacting Cracks in Functionally Graded Thermal Barrier Coatings

2.1 Geometry of the problem and loading

2.2 Key considerations

2.3 Mechanical and physical properties for FGCs and inhomogeneity parameters

2.4 Loadings on the crack faces

3. Singular integral equations and solution

3.1 Singular integral equations

3.2 Numerical solution

3.3 Stress intensity factors and critical loads

4. Results: Stress intensity factors and critical loads for a system of interacting cracks

4.1. Stress Intensity Factors

4.2. Critical loads

5. Summary

A theoretical Model for the Study of Thermal Fracture of Functionally Graded Thermal Barrier Coatings with a System of Edge and Internal Cracks

2.1 General description of the problem

2.2 Thermal and mechanical loadings

2.3 Singular integral equations for the problem and solution

2.4 Analysis by means of fracture criteria

3. Results

Thermal Fracture of Functionally Graded Thermal Barrier Coatings with Pre-Existing Edge Cracks and Multiple Internal Cracks Imitating a Curved Interface

2. Description of the problem

2.2 Model for mechanical and physical properties for an FGC

2.3 Loadings on the crack faces

3. Solution of the problem.

3.1 Singular integral equations

3.3 Stress intensity factors, fracture angles and critical loads

4. Results: stress intensity factors, fracture angles and critical loads for a system of interacting cracks

4.1 Homogeneous semi-infinite medium

4.1.1 Stress intensity factors (SIFs)

4.1.2 Fracture angles

4.2 FGC/H structures

4.2.1 Fracture angles

4.2.2 Critical loads

4.2.3 Behavior of substructure II

Compliance with Ethical Standards

Ethical approval

Appendix A.

Appendix B.

Thermal Fracture Resistance of Functionally Graded Thermal Barrier Coatings with Systems of Multiple Cracks. Application of Rule of Mixtures

2.2 Material properties for FGCs and residual stresses

3. Solution and determination of main fracture characteristics

4. Results and discussion

4.1 Three edge cracks

4.2. Three edge cracks and an internal crack

4.3 Remark

References.

Notes:

Description based on publisher supplied metadata and other sources.

Other Format:

Print version: Petrova, V. Thermoelastic Fracture Mechanics

ISBN:

1-64490-295-8

OCLC:

1417196681