This paper examines major techniques for modeling elastostatic crack problems. The foundations of these techniques and fundamental papers that introduced, developed, and applied them are reviewed. The goal is to provide a "translation" between the different academic languages that describe the same problem.
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This paper is dedicated to the memory of Professors Yu. M. Liberman and P.I. Perlin who provided strong encouragement at the beginning of the author’s career. The author is grateful to Prof. A.M. Linkov who suggested the computational modeling of three-dimensional crack problem as the author’s Ph.D. topic at the time of punched cards and when the smallest computers occupied a decent size room. Special thanks to Steve Crouch for valuable discussions and to Dmitry Nikolskiy for help in preparing the manuscript. I also wish to thank the anonymous reviewer who brought my attention to the seminal papers of Steketee (1958b) and made several useful suggestions. The support from the Theodore W. Bennett Chair, University of Minnesota, is also gratefully acknowledged.
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- Elastostatic cracks
- Modeling techniques