Abstract
The interaction of elastic waves with a planar array of periodically spaced cracks of equal length is investigated. The angle of incidence is arbitrary. By the use of Fourier series techniques, the mixed-boundary value problem for a typical strip is reduced to a singular integral equation, which is solved numerically. It is shown that the reflected and transmitted displacement fields are the superposition of an infinite number of homogeneous and inhomogeneous plane body-wave modes. The reflection and transmission coefficients, which correspond to the modes of order zero, are plotted versus the frequency for three angles of incidence. Sharp resonance and antiresonance effects are observed. A check of the accuracy of the computations is provided by the balance of rates of energies.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 375-397 |
| Number of pages | 23 |
| Journal | Wave Motion |
| Volume | 7 |
| Issue number | 4 |
| DOIs | |
| State | Published - Jul 1985 |
ASJC Scopus subject areas
- Modeling and Simulation
- Physics and Astronomy(all)
- Computational Mathematics
- Applied Mathematics