Eigenfunction expansion for penny-shaped and circumferential cracks
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 205-222 |
| Journal / Publication | International Journal of Fracture |
| Volume | 89 |
| Issue number | 3 |
| Publication status | Published - 1998 |
| Externally published | Yes |
Link(s)
Abstract
Cracks that are developed in pipes, pressure vessels and circular bars due to improper welding are often idealized to be circumferential, penny-shaped or flat toroidal. Based on the three-dimensional Navier's equations in cylindrical coordinates, we derive the general displacement functions for both the penny-shaped and circumferential cracks by eigenfunction expansion method. We find that only those terms of the first order displacement and stress are similar to the case of three-dimensional straight plane cracks and that the higher order terms are coupled through the equilibrium equations. The strength of coupling depends on the ratio r̄ = r/a where r is the radius normal to the crack front and 2a is the diameter of the circular crack tip. It decreases with r̄.
Research Area(s)
- Circumferential crack, Eigenfunction expansion, Penny-shaped crack
Citation Format(s)
Eigenfunction expansion for penny-shaped and circumferential cracks. / Leung, A. Y T; Su, R. K L.
In: International Journal of Fracture, Vol. 89, No. 3, 1998, p. 205-222.
In: International Journal of Fracture, Vol. 89, No. 3, 1998, p. 205-222.
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
