Abstract
The behavior of three parallel permeable cracks with different lengths in a functionally graded piezoelectric material plane subjected to anti-plane shear stress loading was studied by the Schmidt method. The problem was formulated through the Fourier transform into three pairs of dual integral equations. To solve the dual integral equations, the jumps of displacements across the crack surfaces were directly expanded in a series of Jacobi polynomials. The results show that the stress and the electric displacement intensity factors at the crack tips depend on the lengths, spacing of the cracks and the material parameters. It is also revealed that the crack shielding effect is present in functionally graded piezoelectric materials.
| Original language | English |
|---|---|
| Pages (from-to) | 137-165 |
| Number of pages | 29 |
| Journal | Archives of Mechanics |
| Volume | 61 |
| Issue number | 2 |
| Publication status | Published - 2009 |
| Externally published | Yes |
Keywords
- Couple field state
- Crack shielding effect
- Functionally graded piezoelectric materials
- Mechanics of solids
- Multiple parallel non-symmetric cracks