Fracture Mechanics covers classical and modern methods and introduce new/unique techniques, making this text an important resource for anyone involved in the study or application of fracture mechanics. Using insights from leading experts in fracture mechanics, it provides new approaches and new applications to advance the understanding of crack initiation and propagation.
With a concise and easily understood mathematical treatment of crack tip fields, this book provides the basis for applying fracture mechanics in solving practical problems. It features a unique coverage of bi-material interfacial cracks, with applications to commercially important areas of composite materials, layered structures, and microelectronic packaging. A full chapter is devoted to the cohesive zone model approach, which has been extensively used in recent years to simulate crack propagation. A unified discussion of fracture criteria involving nonlinear/plastic deformations is also provided.
The book is an invaluable resource for mechanical, aerospace, civil, and biomedical engineers in the field of mechanics as well as for graduate students and researchers studying mechanics.
Key Features
- Concise and easily understood mathematical treatment of crack tip fields (chapter 3) provides the basis for applying fracture mechanics in solving practical problems
- Unique coverage of bi-material interfacial cracks (chapter 8), with applications to commercially important areas of composite materials, layered structures, and microelectronic packaging
- A full chapter (chapter 9) on the cohesive zone model approach, which has been extensively used in recent years to simulate crack propagation
- A unified discussion of fracture criteria involving nonlinear/plastic deformations
- Dedication
- Preface
- About the Authors
- Chapter 1. Introduction
- 1.1. Failure of Solids
- 1.2. Fracture Mechanics Concepts
- 1.3. History of Fracture Mechanics
- Chapter 2. Griffith Theory of Fracture
- 2.1. Theoretical Strength
- 2.2. The Griffith Theory of Fracture
- 2.3. A Relation among Energies
- Chapter 3. The Elastic Stress Field around a Crack Tip
- 3.1. Basic Modes of Fracture and Stress Intensity Factor
- 3.2. Method of Complex Potential for Plane Elasticity (The Kolosov-Muskhelishvili Formulas)
- 3.3. Westergaard Function Method
- 3.4. Solutions by the Westergaard Function Method
- 3.5. Fundamental Solutions of Stress Intensity Factor
- 3.6. Finite Specimen Size Effects
- 3.7. Williams' Crack Tip Fields
- 3.8. K-Dominance
- 3.9. Irwin's K-Based Fracture Criterion
- Chapter 4. Energy Release Rate
- 4.1. The Concept of Energy Release Rate
- 4.2. The Relations between G and K by the Crack Closure Method
- 4.3. The J-Integral
- 4.4. Stress Intensity Factor Calculations Using the Finite Element Method
- 4.5. Three-Dimensional Field near Crack Front
- Chapter 5. Mixed Mode Fracture
- 5.1. A Simple Elliptical Model
- 5.2. Maximum Tensile Stress Criterion (MS-Criterion)
- 5.3. Strain Energy Density Criterion (S-Criterion)
- 5.4. Maximum Energy Release Rate Criterion (ME-Criterion)
- 5.5. Experimental Verifications
- Chapter 6. Crack Tip Plasticity
- 6.1. Yield Criteria
- 6.2. Constitutive Relationships in Plasticity
- 6.3. Irwin's Model for Mode I Fracture
- 6.4. The Dugdale Model
- 6.5. Plastic Zone Shape Estimate According to the Elastic Solution
- 6.6. Plastic Zone Shape According to Finite Element Analyses
- 6.7. A Mode III Small-Scale Yielding Solution
- 6.8. A Mode III Small-Scale Yielding Solution—Elastic Power-Law Hardening Materials
- 6.9. HRR Field
- 6.10. Energy Release Rate Concept in Elastic-Plastic Materials
- Chapter 7. Elastic-Plastic Fracture Criteria
- 7.1. Irwin's Adjusted Stress Intensity Factor Approach
- 7.2. K Resistance Curve Approach
- 7.3. J -Integral as a Fracture Parameter
- 7.4. Crack Tip Opening Displacement Criterion
- 7.5. Crack Tip Opening Angle Criterion
- Chapter 8. Interfacial Cracks between Two Dissimilar Solids
- 8.1. Crack Tip Fields
- 8.2. Complex Function Method and Stress Intensity Factors
- 8.3. Crack Surface Contact Zone and Stress Oscillation Zone
- 8.4. Energy Release Rate
- 8.5. Fracture Criterion
- 8.6. Crack Kinking Out of the Interface
- 8.7. Contact and Friction in Interfacial Cracks
- Chapter 9. Cohesive Zone Model
- 9.1. The Barenblatt Model
- 9.2. Cohesive Zone Concept in Continuum Mechanics and Cohesive Laws
- 9.3. A Discussion on the Linear Hardening Law
- 9.4. Cohesive Zone Modeling and LEFM
- 9.5. Cohesive Zone Modeling of Interfacial Fracture
- Chapter 10. Special Topics
- 10.1. Fracture Mechanics of Anisotropic Solids
- 10.2. Fracture Mechanics of Nonhomogeneous Materials
- 10.3. Dynamic Fracture Mechanics
- Appendix. Stress Intensity Factors
- Index
Fracture Mechanics: Fundamentals and Applications, 3e by Ted L. Anderson (Hardcover - May 15, 2004), CRC Press 640 pgs.
Principles of Fracture Mechanics by R. J. Sanford (Paperback - April 8, 2002). Pearson 404 pg, 978-0130929921
Deformation and Fracture Mechanics of Engineering Materials by Richard W. Hertzberg (Hardcover - Dec 1995) 4e 816 pp 978-0471012146
Graduate students and researchers studying mechanics. Appropriate for Mechanical, Aerospace, Civil, and Biomedical Engineers in the field of mechanics
