Geodesic
The effect of a hypocycloid irregularity on torsional surface waves in a multilayer system
Theoretical and applied mechanics, Tome 51 (2024) no. 2, p. 119

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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 non-homogeneous semi-infinite spaces. The irregularity manifests as a semi-four-cusped 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 semi-infinite 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.
DOI : 10.2298/TAM240112007S
Classification : 86A15
Keywords: torsional wave, porosity, irregularity, anisotropic, heterogeneity, phase velocity 
Anup Saha; Sandip Kumar Das. The effect of a hypocycloid irregularity on torsional surface waves in a multilayer system. Theoretical and applied mechanics, Tome 51 (2024) no. 2, p. 119 . doi: 10.2298/TAM240112007S
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