Fracture Mechanics

Fracture Mechanics

1st Edition - October 4, 2011

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  • Authors: Chin-Teh Sun, Zhihe Jin
  • eBook ISBN: 9780123850027
  • Paperback ISBN: 9780128103371

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Description

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

Readership

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 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

Product details

  • No. of pages: 336
  • Language: English
  • Copyright: © Academic Press 2011
  • Published: October 4, 2011
  • Imprint: Academic Press
  • eBook ISBN: 9780123850027
  • Paperback ISBN: 9780128103371

About the Authors

Chin-Teh Sun

Neil A. Armstrong Distinguished Professor of Aeronautics and Astronautics

Ph.D., Northwestern University 1967

Awards and Major Appointments

AIAA Fellow

ASME Fellow

ASC Fellow

Research Award for excellence in faculty research, Schools of Engineering, Purdue University, 2004.

ASTM Committee D-30 Wayne W. Stinchcomb Memorial Award

Research Areas

Current research interests include the following areas:

Composite Materials and Structures

Fractures Mechanics

Smart Materials -

Nanomaterials

Affiliations and Expertise

Neil A. Armstrong Distinguished Professor of Aeronautics and Astronautics Purdue University

Zhihe Jin

Zhihe Jin is a Professor in the Department of Mechanical Engineering at the University of Maine. He obtained his Ph.D. in Engineering Mechanics from Tsinghua University in 1988. His research areas include fracture mechanics, thermal stresses, poromechanics, biomechanics and thermoelectricity. His research is mainly concerned with the mathematical theories and solutions of fracture, deformation, heat conduction, porous fluid flow and thermoelectric energy conversion efficiency. He has published more than 100 refereed journal papers and 6 book chapters. He also co-authored a textbook on fracture mechanics published in 2011 (Sun & Jin, Fracture Mechanics 1e, Elsevier). He has taught 11 undergraduate and graduate courses including Mechanical Engineering Analysis at the University of Maine.

Affiliations and Expertise

Department Of Mechanical Engineering University of Maine

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