Abstract
We consider the scattering of elastic waves by highly oscillating anisotropic periodic media with bounded support. Applying the two-scale homogenization, we first obtain a constant coefficient second-order partial differential elliptic equation that describes the wave propagation of the effective or overall wave field. We further pursue a higher-order homogenization with the help of complimentary boundary correctors and provide a detailed analysis on the rate of higher-order convergence. Finally we provide preliminary numerical examples to demonstrate the higher-order homogenization.
| Original language | English |
|---|---|
| Pages (from-to) | 177-217 |
| Number of pages | 41 |
| Journal | Journal of Elasticity |
| Volume | 137 |
| Issue number | 2 |
| DOIs | |
| State | Published - 1 Dec 2019 |
Keywords
- Elastic scattering
- Periodic media
- Second-order homogenization
- Two-scale homogenization
- Wave dispersion