✦ LIBER ✦
The discontinuity in the elastostatic displacement vector across a penny-shaped crack under arbitrary loads
✍ Scribed by P. A. Martin
- Book ID
- 104619797
- Publisher
- Springer Netherlands
- Year
- 1982
- Tongue
- English
- Weight
- 690 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0374-3535
No coin nor oath required. For personal study only.
✦ Synopsis
Consider an infinite elastic solid containing a penny-shaped crack. A familiar problem in linear elastostatics is the determination of the displacement in the solid when the crack is subjected to an arbitrarily prescribed loading; denote the corresponding boundary-value problem by P. We construct the exact Green's function for P, using a method due to Guidera and Lardner [4]. We then use our Green's function to solve P, by obtaining expressions for the discontinuity in the displacement vector across the crack. Finally, we compare our solutions for P with those obtained recently by Krenk [6].