DISLOCATION BASED FRACTURE MECHANICS
by Johannes Weertman (Northwestern University)
The dislocation is the basic building block of the crack in an elastic-plastic solid. Fracture mechanics is developed in this text from its dislocation foundation. It is the only text to do so. It is written for the graduate student and the new investigator entering the fracture field as well as the experienced scientist who has not used the dislocation approach. The dislocation mechanics needed to find the dislocation density fields of crack tip plastic zones is developed in detail. All known dislocation based solutions are given for the three types of cracks in elastic-plastic solids are given.
Contents:
- Griffith-Inglis Crack and Zener-Stroh-Koehler Crack
- Dislocation
Mechanics
- Hilbert Transforms and Muskhelishvili Equations
- Bilby-Cottrell-Swinden-Dugdale (BCSD) Crack
- Crack Tip Shielding and Antishielding by Dislocations
- Mode III Crack in an Elastic-Plastic Solid
- Mode II Crack in an Elastic-Plastic Solid
- Mode I Crack in an Elastic-Plastic Solid
- Moving Yoffe Crack
- Interesting Applications
- Appendices:
- Short Table of Hilbert Transforms
- Table of Useful Integrals for Crack Problems
- Stress Fields of Dislocations Near or On an Interface
- Table of Useful Equations
- Derivation of the Del Gradient and Other Operators for the Shifting Center Cylindrical Coordinate System
- Orthogonal Curvilinear Coordinates
- Dislocations in Stress Space
- References
- Index
Readership: Researchers and graduate students in materials science and
theoretical & applied mechanics; and undergraduate and graduate students in geophysics.
"This is an excellent scholarly work which fills a tremendous need for such a book. It is so well-written that it can serve as a textbook, reference material, and valuable historical document ... This reviewer wholeheartedly recommends 'Dislocation Based Fracture Mechanics' for purchase by students, researchers, scholars, scientists, geologists, geophysicists, glaciologists, and engineers particularly in the areas of civil, structural, foundation, transportation, mechanical, electrical, metallurgical, agricultural, and aeronautical engineering, who need a good understanding of the subject of fracture mechanics in order to solve practical field problems associated with crack initiation, propagation, and prevention. Every library should also purchase copies of this superb book."
| Applied Mechanics Reviews |
"This book is notable in that it is the only one written that provides an account of the dislocation foundation of fracture mechanics and presents solutions for cracks in elasto-plastic solids ... its presentation is clear enough to be accessible to graduate students, and it is highly recommended to researchers and practicing engineers."
| 548pp |
Pub. date: Feb 1996 |
