Abstract
The dynamic behavior of an arc-shaped interfacial crack in an orthotropic functionally graded annular bi-material structure is investigated. In order for the analysis to be executable, the material properties are assumed to vary with the power function of the radial coordinates. By applying the separation variable method, the boundary value problem of the partial differential equation describing the fracture problem of this article can be transformed into a Cauchy kernel singular integral equation with the unknown jump of displacements across the crack surfaces. The obtained integral equation is solved numerically by Lobatto–Chebyshev collocation method to show the effects of the geometric and physical parameters upon the dynamic stress field near the crack tips. Communicated by Kuang-Hua Chang.
| Original language | English |
|---|---|
| Pages (from-to) | 649-662 |
| Number of pages | 14 |
| Journal | Mechanics Based Design of Structures and Machines |
| Volume | 48 |
| Issue number | 5 |
| DOIs | |
| State | Published - 2 Sep 2020 |
Keywords
- Functionally graded materials
- annular structure
- antiplane shear waves
- arc-shaped crack
- bi-materials
- interfacial crack