Most design engineers are tasked to design against failure, and one of the biggest causes of product failure is failure of the material due to fatigue/fracture. From leading experts in fracture mechanics, this new text provides new approaches and new applications to advance the understanding of crack initiation and propagation. With applications in composite materials, layered structures, and microelectronic packaging, among others, this timely coverage is an important resource for anyone studying or applying concepts of fracture 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


Graduate students and researchers studying mechanics. Appropriate for Mechanical, Aerospace, Civil, and Biomedical Engineers in the field of mechanics

Table of Contents

  • 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


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© 2012
Academic Press
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