Abstract
Two mixed boundary value problems in potential theory for a semi-infinite cylindrical shell are solved. The first is interpreted as a heat conduction problem for an insulated shell containing a circumferential obstruction. The second is the torsion of a cylindrical shell containing a circumferential crack. For both problems the normal derivative of the potential function is taken as zero on the inner and outer shell walls. The boundary conditions at the end of the shell are mixed with respect to the potential function and its normal derivative. The problems are formulated using integral transforms in a manner leading to a singular integral equation which can be solved by numerical means. Intensity factors along the circumference separating the mixed conditions are computed.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 723-729 |
| Number of pages | 7 |
| Journal | International Journal of Solids and Structures |
| Volume | 12 |
| Issue number | 11 |
| DOIs | |
| State | Published - 1976 |
| Externally published | Yes |
Funding
Acknowledgements-The authors are grateful for support from the U.S. Energy Research and Development Administration. One of them (LMK) wishes to thank the Science Research Council of Great Britain who allowed him to pursue this research at the Department of Mathematics, University of Glasgow, during May 1974.
ASJC Scopus subject areas
- Modeling and Simulation
- General Materials Science
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering
- Applied Mathematics