Fundamentals of Fracture Mechanics: 1st Edition (Hardback) book cover

Fundamentals of Fracture Mechanics

1st Edition

By Tribikram Kundu

CRC Press

304 pages | 174 B/W Illus.

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pub: 2008-01-30
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Description

Almost all books available on fracture mechanics cover the majority of topics presented in this book, and often much, much more. While great as references, this makes teaching from them more difficult because the materials are not typically presented in the order that most professors cover them in their lectures and more than half the information presented is not covered in an introductory course at all.

Focusing on the needs of students and professors, Fundamentals of Fracture Mechanics offers an introduction to the discipline through careful editing and mindfulness toward the audience. The book begins with a review of the fundamentals of continuum mechanics and the theory of elasticity relevant to fracture mechanics. The following material has been carefully selected, only including topics important enough to be covered in a first course on fracture mechanics. Except for the last chapter, no advanced topics are covered. Therefore, instructors of elementary fracture mechanics courses can easily cover the entire book in a three-unit graduate-level course without having to spend too much time picking and choosing appropriate topics for the course from the vast knowledge presented in most fracture mechanic books available today.

Drawing on over 20 years of teaching, the author supplies practical and useful resources, including practice exercises designed to facilitate enjoyable learning and reference for further study. His clear, concise coverage of essential information makes the book ideal not only for an introductory course but also for self-study.

Reviews

"This well-written, clear, concise book is suitable for advanced undergraduates, beginning graduate students, and practicing engineers . . . The book’s compact size seems to strike an excellent balance between breadth and detail . . . Summing Up: Recommended."

– J. Lambropoulos, University of Rochester, in Choice: Current Reviews for Academic Libraries, Feb 2009, Vol. 46, No. 6

Table of Contents

Fundamentals of the Theory of Elasticity

Introduction

Fundamentals of Continuum Mechanics and the Theory of Elasticity

Some Classical Problems in Elasticity

Concluding Remarks

References

Exercise Problems

Elastic Crack Model

Introduction

Williams’ Method to Compute the Stress Field Near a Crack Tip

Stress Intensity Factor and Fracture Toughness

Stress and Displacement Fields for Antiplane Problems

Different Modes of Fracture

Direction of Crack Propagation

Mixed Mode Failure Curve for In-Plane Loading

Stress Singularities for Other Wedge Problems

Concluding Remarks

References

Exercise Problems

Energy Balance

Introduction

Griffith’s Energy Balance

Energy Criterion of Crack Propagation for Fixed Force and Fixed Grip Conditions

Experimental Determination of Gc

Relation Between Strain Energy Release Rate (G) and Stress Intensity Factor (K) for Different Problem Geometrics

Concluding Remarks

References

Exercise Problems

Effect of Plasticity

Introduction

First Approximation on the Plastic Zone Size Estimation

Determination of the Plastic Zone Shape in Front of the Crack Tip

Plasticity Correction Factor

Failure Modes Under Plane Stress and Plane Strain Conditions

Dugdale Model

Crack Tip Opening Displacement

Experimental Determination of Kc

Concluding Remarks

References

Exercise Problems

J-Integral

Introduction

Derivation of J-Interval

J-Interval Over a Closed-Loop

Path Independence of J-Interval

J-Interval for Dugdale Model

Experimental Evaluation of Critical J-Integral Value, Jc

Concluding Remarks

References

Exercise Problems

Fatique Crack Growth

Introduction

Fatique Analysis—Mechanics of Materials Approach

Fatique Analysis—Fracture Mechanics Approach

Fatique Analysis for Materials Containing Microcracks

Concluding Remarks

References

Exercise Problems

Stress Intensity Factors for Some Practical Crack Geometrics

Introduction

Slit Crack in a Strip

Crack Intersecting a Free Surface

Strip with a Crack on Its One Boundary

Strip with Two Collinear Identical Cracks on Its Two Boundaries

Two Half Planes Connected over a Finite Region Forming Two Semi-Infinite Cracks in a Full Space

Two Cracks Radiating Out from a Circular Hole

Two Collinear Finite Cracks in an Infinite Plate

Cracks with Two Opposing Concentrated Forces on the Surface

Pressurized Crack

Crack in a Wide Strip with a Concentrated Force at Its Midpoint and a Far Field Stress Balancing the Concentrated Force

Circular or Penny-Shaped Crack in a Full Space

Elliptical Crack in a Full Space

Part-Through Surface Crack

Corner Cracks

Concluding Remarks

References

Exercise Problems

Numerical Analysis

Introduction

Boundary Collocation Technique

Conventional Finite Element Methods

Special Crack Tip Finite Elements

Quarter Point Quadrilateral Finite Element

Concluding Remarks

References

Westergaard Stress Function

Introduction

Background Knowledge

Griffith Crack in Biaxial State of Stress

Concentrated Load on a Half Space

Griffith Crack Subjected to Concentrated Crack Opening Loads P

Griffith Crack Subjected to Nonuniform Internal Pressure

Infinite Number of Equal Length, Equally Spaced Coplanar Cracks

Concluding Remarks

References

Exercise Problems

Advanced Topics

Introduction

Stress Singularities at Crack Corners

Fracture Toughness and Strength of Brittle Matrix Composites

Dynamic Effect

Concluding Remarks

References

Exercise Problems

Index

Subject Categories

BISAC Subject Codes/Headings:
SCI041000
SCIENCE / Mechanics / General
TEC009070
TECHNOLOGY & ENGINEERING / Mechanical