Abstract
The crack problem in a medium possessing coupled piezoelectric, piezomagnetic and magnetoelectric effects is considered. A conservative integral is derived based on the governing equations for magnetoelectroelastic media. Closed-form solution is obtained for an anti-plane crack in an infinite medium. The conservative integral is used to obtain the path-independent integral near the crack tip. Expressions for stresses, electric displacements and magnetic inductions in the vicinityof a crack tip are derived. It is found that the path-independent integral around the crack tip equals the energyrelease rate. In the absence of applied mechanical loads, the energyrelease rate is always negative.
| Original language | English |
|---|---|
| Pages (from-to) | 65-73 |
| Number of pages | 9 |
| Journal | Mechanics Research Communications |
| Volume | 31 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2004 |
Keywords
- fracture mechanics
- piezoelectricity
- Fracture mechanics
- Piezomagnetic
- Magnetoelectroelastic
- Piezoelectric
- Crack