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Fracture mechanics : fundamentals and applications / Surjya Kumar Maitii.

By: Material type: TextTextPublisher: Delhi, India : Cambridge University Press, 2015Description: xvi, 279 pages : illustrations ; 25 cmContent type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
ISBN:
  • 9781107096769 (hardback)
Subject(s): DDC classification:
  • 620.1126 23 M.S.F
LOC classification:
  • TA409 .M336 2015
Online resources:
Contents:
1 Introduction -- 1.1 Introduction -- 1.2 Linear Elastic Fracture Mechanics -- 1.3 Elastic Plastic or Yielding Fracture Mechanics -- 1.4 Mixed Mode Fracture -- 1.5 Fatigue Crack Growth -- 1.6 Computational Fracture Mechanics -- 1.7 Scope of the Book -- References -- 2 Linear Elastic Fracture Mechanics -- 2.1 Introduction -- 2.2 Calculation of Theoretical Strength -- 2.3 Griffth's Explanation Based on Stress Concentration -- 2.4 Griffth's Theory of Brittle Fracture -- 2.4.1 Irwin-Orowan Modifcation. 2.5 Stress Intensity Factor (SIF) Approach2.5.1 Relationship between G and K -- 2.6 Concepts of Strain Energy and Potential Energy Release Rates -- 2.6.1 Crack Extension Under Load Control (Soft Loading) -- 2.6.2 Crack Extension Under Displacement Control (Hard Loading) -- 2.7 Irwin Plastic Zone Size Correction -- 2.8 Dugdale-Barenblatt Model for Plastic Zone Size -- 2.9 Crack-Tip Plastic Zone Shape -- 2.9.1 Mode I Plastic Zone -- 2.9.2 Plane Strain Constraint -- 2.9.3 Mode II and Mode III Plastic Zones -- 2.10 Triaxiality at Crack Front -- 2.11 Thickness Dependence of Fracture Toughness Kc. 2.12 Design Applications -- APPENDIX 2.1 Stress Intensity Factors for Various Configurations -- Exercise -- References -- 3 Determination of Crack-Tip Stress Field -- 3.1 Introduction -- 3.2 Airy Stress Function Approach -- 3.3 Kolosoff-Muskhelishvili Potential Formulation -- 3.4 Examples of Analytic and Stress Functions -- 3.5 Westergaard Stress Function Approach -- 3.5.1 Mode I Crack-Tip Field -- 3.5.2 Mode II Crack-Tip Field -- 3.6 Mode III Solution -- 3.7 Williams' Eigenfunction Expansion for Mode I -- 3.8 Williams' Eigenfunction Expansion for Mode II and Mixed Mode -- Exercise -- References. 4 Crack Opening Displacement, J Integral, and Resistance Curve4.1 Introduction -- 4.2 Crack Opening Displacement -- 4.3 Special Integrals -- 4.4 Rice's Path-Independent Integral J -- 4.5 J As Potential Energy Release Rate -- 4.6 Graphical Representation of J for Non-linear Elastic Case -- 4.7 Resistance Curve -- 4.8 Stability of Crack Growth -- Exercise -- References -- 5 Determination of Stress Intensity Factors -- 5.1 Introduction -- 5.2 Analytical Methods -- 5.2.1 Boundary Collocation Method -- 5.2.2 Green's Function Approach -- 5.2.3 Method of Superposition -- 5.2.4 Weight Function Method. 5.3 Numerical Technique: Finite Element Method5.3.1 Displacement and Stress-Based Methods for Extraction of SIFs -- 5.3.2 Energy-based Methods for Determination of SIFs -- 5.4 FEM-Based Calculation of G Associated with Kinking of Crack -- 5.5 Other Numerical Methods -- 5.6 Experimental Methods -- 5.6.1 Strain Gauge Technique -- 5.6.2 Photoelasticity -- Exercise -- References -- 6 Mixed Mode Brittle Fracture -- 6.1 Introduction -- 6.2 Theory based on Potential Energy Release Rate -- 6.3 Maximum Tangential Stress Criterion -- 6.4 Maximum Tangential Principal Stress Criterion -- 6.5 Strain Energy Density Criterion.
Summary: "Deals with the characteristics of fracture in terms of crack opening displacement (COD) and J integral and the interpretation of J as potential energy release rate for linear elastic materials"-- Provided by publisher.
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Includes bibliographical references and index.

1 Introduction -- 1.1 Introduction -- 1.2 Linear Elastic Fracture Mechanics -- 1.3 Elastic Plastic or Yielding Fracture Mechanics -- 1.4 Mixed Mode Fracture -- 1.5 Fatigue Crack Growth -- 1.6 Computational Fracture Mechanics -- 1.7 Scope of the Book -- References -- 2 Linear Elastic Fracture Mechanics -- 2.1 Introduction -- 2.2 Calculation of Theoretical Strength -- 2.3 Griffth's Explanation Based on Stress Concentration -- 2.4 Griffth's Theory of Brittle Fracture -- 2.4.1 Irwin-Orowan Modifcation. 2.5 Stress Intensity Factor (SIF) Approach2.5.1 Relationship between G and K -- 2.6 Concepts of Strain Energy and Potential Energy Release Rates -- 2.6.1 Crack Extension Under Load Control (Soft Loading) -- 2.6.2 Crack Extension Under Displacement Control (Hard Loading) -- 2.7 Irwin Plastic Zone Size Correction -- 2.8 Dugdale-Barenblatt Model for Plastic Zone Size -- 2.9 Crack-Tip Plastic Zone Shape -- 2.9.1 Mode I Plastic Zone -- 2.9.2 Plane Strain Constraint -- 2.9.3 Mode II and Mode III Plastic Zones -- 2.10 Triaxiality at Crack Front -- 2.11 Thickness Dependence of Fracture Toughness Kc. 2.12 Design Applications -- APPENDIX 2.1 Stress Intensity Factors for Various Configurations -- Exercise -- References -- 3 Determination of Crack-Tip Stress Field -- 3.1 Introduction -- 3.2 Airy Stress Function Approach -- 3.3 Kolosoff-Muskhelishvili Potential Formulation -- 3.4 Examples of Analytic and Stress Functions -- 3.5 Westergaard Stress Function Approach -- 3.5.1 Mode I Crack-Tip Field -- 3.5.2 Mode II Crack-Tip Field -- 3.6 Mode III Solution -- 3.7 Williams' Eigenfunction Expansion for Mode I -- 3.8 Williams' Eigenfunction Expansion for Mode II and Mixed Mode -- Exercise -- References. 4 Crack Opening Displacement, J Integral, and Resistance Curve4.1 Introduction -- 4.2 Crack Opening Displacement -- 4.3 Special Integrals -- 4.4 Rice's Path-Independent Integral J -- 4.5 J As Potential Energy Release Rate -- 4.6 Graphical Representation of J for Non-linear Elastic Case -- 4.7 Resistance Curve -- 4.8 Stability of Crack Growth -- Exercise -- References -- 5 Determination of Stress Intensity Factors -- 5.1 Introduction -- 5.2 Analytical Methods -- 5.2.1 Boundary Collocation Method -- 5.2.2 Green's Function Approach -- 5.2.3 Method of Superposition -- 5.2.4 Weight Function Method. 5.3 Numerical Technique: Finite Element Method5.3.1 Displacement and Stress-Based Methods for Extraction of SIFs -- 5.3.2 Energy-based Methods for Determination of SIFs -- 5.4 FEM-Based Calculation of G Associated with Kinking of Crack -- 5.5 Other Numerical Methods -- 5.6 Experimental Methods -- 5.6.1 Strain Gauge Technique -- 5.6.2 Photoelasticity -- Exercise -- References -- 6 Mixed Mode Brittle Fracture -- 6.1 Introduction -- 6.2 Theory based on Potential Energy Release Rate -- 6.3 Maximum Tangential Stress Criterion -- 6.4 Maximum Tangential Principal Stress Criterion -- 6.5 Strain Energy Density Criterion.

"Deals with the characteristics of fracture in terms of crack opening displacement (COD) and J integral and the interpretation of J as potential energy release rate for linear elastic materials"-- Provided by publisher.

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