Kundu Fundamentals of Fracture Mechanics

1. Auflage 2011
ISBN: 978-1-4398-7805-7
Verlag: Taylor & Francis
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 304 Seiten

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.

Zielgruppe

Upper level undergraduate and graduate students, engineers..

Autoren/Hrsg.

Kundu, Tribikram

Fachgebiete

• Technische Wissenschaften Maschinenbau | Werkstoffkunde Maschinenbau
• Naturwissenschaften Physik Mechanik

Inhaltsverzeichnis

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