The effect of a hypocycloid irregularity on torsional surface waves in a multilayer system
The present topic is devoted to investigating the effects of semi four-cusped hypocycloid irregularity on torsional surface waves in an initially stressed anisotropic porous medium situated between two anisotropic nonhomogeneous semi-infinite spaces. The irregularity manifests as a semi-fourcusped h...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade
2024-01-01
|
| Series: | Theoretical and Applied Mechanics |
| Subjects: | |
| Online Access: | https://doiserbia.nb.rs/img/doi/1450-5584/2024/1450-55842400007S.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | The present topic is devoted to investigating the effects of semi four-cusped hypocycloid irregularity on torsional surface waves in an initially stressed anisotropic porous medium situated between two anisotropic nonhomogeneous semi-infinite spaces. The irregularity manifests as a semi-fourcusped hypocycloid at the interface where the layer and the lower semi-infinite space are separated. It is assumed that the directional rigidities, density and initial stress vary in the upper and lower semi-infinite spaces in an exponential and hyperbolic manner, respectively. A closed form for the torsional wave dispersion equation is presented. Additionally, the velocity equation is found in the case of no irregularity. The study demonstrates that heterogeneity of lower semi-infinite space, initial stress and directional rigidities of both semiinfinite spaces, as well as of porosity of the layer have a favourable effect on the phase velocity of torsional surface waves. However, the heterogeneity of the upper semi-infinite space, ratio of directional rigidities and initial stress of the layer and irregularity parameter have a negative impact. It has also been observed that, in the case of a uniform media, the velocity equation reduces to the conventional equation for the Love wave. |
|---|---|
| ISSN: | 1450-5584 2406-0925 |