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...
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Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade
2024-01-01
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| Series: | Theoretical and Applied Mechanics |
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| Online Access: | https://doiserbia.nb.rs/img/doi/1450-5584/2024/1450-55842400007S.pdf |
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| author | Saha Anup Das Sandip Kumar |
| author_facet | Saha Anup Das Sandip Kumar |
| author_sort | Saha Anup |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-e46f1c62c63c4817b8c582fb8a5f1186 |
| institution | Kabale University |
| issn | 1450-5584 2406-0925 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade |
| record_format | Article |
| series | Theoretical and Applied Mechanics |
| spelling | doaj-art-e46f1c62c63c4817b8c582fb8a5f11862025-01-30T06:46:38ZengSerbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, BelgradeTheoretical and Applied Mechanics1450-55842406-09252024-01-0151211913610.2298/TAM240112007S1450-55842400007SThe effect of a hypocycloid irregularity on torsional surface waves in a multilayer systemSaha Anup0https://orcid.org/0000-0001-8044-0716Das Sandip Kumar1https://orcid.org/0000-0003-4060-2068Department of Mathematics, Rampurhat College, Rampurhat, IndiaDepartment of Mathematic, School of Advanced Sciences, VIT Chennai, Tamilnadu, IndiaThe 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.https://doiserbia.nb.rs/img/doi/1450-5584/2024/1450-55842400007S.pdftorsional waveporosityirregularityanisotropicheterogeneityphase velocity |
| spellingShingle | Saha Anup Das Sandip Kumar The effect of a hypocycloid irregularity on torsional surface waves in a multilayer system Theoretical and Applied Mechanics torsional wave porosity irregularity anisotropic heterogeneity phase velocity |
| title | The effect of a hypocycloid irregularity on torsional surface waves in a multilayer system |
| title_full | The effect of a hypocycloid irregularity on torsional surface waves in a multilayer system |
| title_fullStr | The effect of a hypocycloid irregularity on torsional surface waves in a multilayer system |
| title_full_unstemmed | The effect of a hypocycloid irregularity on torsional surface waves in a multilayer system |
| title_short | The effect of a hypocycloid irregularity on torsional surface waves in a multilayer system |
| title_sort | effect of a hypocycloid irregularity on torsional surface waves in a multilayer system |
| topic | torsional wave porosity irregularity anisotropic heterogeneity phase velocity |
| url | https://doiserbia.nb.rs/img/doi/1450-5584/2024/1450-55842400007S.pdf |
| work_keys_str_mv | AT sahaanup theeffectofahypocycloidirregularityontorsionalsurfacewavesinamultilayersystem AT dassandipkumar theeffectofahypocycloidirregularityontorsionalsurfacewavesinamultilayersystem AT sahaanup effectofahypocycloidirregularityontorsionalsurfacewavesinamultilayersystem AT dassandipkumar effectofahypocycloidirregularityontorsionalsurfacewavesinamultilayersystem |