Abstract
An approximate statically admissible solution of the elastoplastic interface is described for the plane strain problem of a pressurized circular hole in a plane subject to a non-hydrostatic stress at infinity (Problem of Galin). In contrast to the solution of Galin (Prikl. Mat. Mekh. 10, 365-386 (1946)) which applies for the case of a frictionless Tresca material, it is assumed that the material is characterized by a cohesivc-frictional yield strength. The solution of the elasloplastic interface is obtained in the form of a truncated series expansion, for cases where the material has yielded all around the hole. The paper discusses the limiting conditions for which the solution is applicable, and the validity of the solution in regard to an elastoplastic problem.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1435-1454 |
| Number of pages | 20 |
| Journal | International Journal of Solids and Structures |
| Volume | 22 |
| Issue number | 12 |
| DOIs | |
| State | Published - 1986 |
Bibliographical note
Funding Information:Acknowledgements-This paper reports partial results of a research sponsored by the National Science Foundation, which was performed at the Department of Civil and Mineral Engineering of the University of Minnesota during the course of a Ph.D. program. The author is grateful to Professor C. Fairhurst, thesis advisor, for many valuable discussions and support.