Abstract
A periodic array of cracks in an infinite functionally graded material under transient mechanical loading is investigated. In-plane normal (mode I) and shear (mode II) loading conditions are considered. For each individual loading mode, a singular integral equation is derived, in which the crack surface displacements are unknown functions. Numerical results are obtained to illustrate the variation of the stress intensity factors as a function of the crack periodicity for different values of material inhomogeneity, either at the transient state or steady state. The material inhomogeneity can increase or decrease the mode I and mode II stress intensity factors. Compared with the single crack solution, it is also shown that multiple cracking may decrease the mode I stress intensity factors, but enhance the mode II stress intensity factors significantly.
| Original language | English |
|---|---|
| Pages (from-to) | 351-364 |
| Number of pages | 14 |
| Journal | International Journal of Engineering Science |
| Volume | 44 |
| Issue number | 5-6 |
| DOIs | |
| Publication status | Published - Mar 2006 |
| Externally published | Yes |
Keywords
- Cracks
- Dynamic fracture mechanics
- Fracture mechanics
- Functionally graded materials
ASJC Scopus subject areas
- General Materials Science
- Mechanics of Materials
- General Engineering
- Mechanical Engineering