Abstract
In this article, we investigate the problem of Lamb wave propagation in a layer composed of homogeneous, isotropic material with irregular free surfaces. It is assumed that the irregular free surfaces vary slowly in the direction of wave propagation. By employing an asymptotic perturbation method, a unique asymptotic solution for the amplitude function of Lamb waves is obtained. The dispersion relation is expressed as a function of phase velocity of waves, wave number and the direction of wave propagation. We examine the effect of irregularities of the boundary surfaces on the propagation of waves under the assumption that free surfaces have periodic properties.
| Original language | English |
|---|---|
| Article number | 103136 |
| Journal | Wave Motion |
| Volume | 119 |
| DOIs | |
| Publication status | Published - Jun 2023 |
Bibliographical note
Publisher Copyright:© 2023 Elsevier B.V.
Funding
The authors would like to express sincere gratitude to the reviewers for their constructive suggestions which helped to improve the quality of this paper. All authors approved the version of the manuscript to be published. The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
Keywords
- Corrugated surfaces
- Lamb waves
- Perturbation methods