The present study aims to investigate Rayleigh wave propagation in an isotropic sandy layer overlying an isotropic sandy semi-infinite medium, with interface considered to be imperfect (slide contact and dislocation like model). Expressions for displacement components are obtained using the variable separation method. The dispersion frequency equation for the Rayleigh wave propagating in sandy media is derived using suitable boundary conditions. Particular cases, such as when the interface is in smooth contact and when sandy media are replaced by elastic media, are also discussed. Using MATLAB software, the effects of the imperfectness parameter (slide contact and dislocation like model) and sandy parameter on the Rayleigh waves’ phase velocity are investigated and compared with the already obtained results of the dislocation like model. The present study may find useful applications in geophysics, civil engineering and soil mechanics.
The present study deals with the Love wave propagation in a dry sandy layer bounded by an upper monoclinic elastic layer and a lower inhomogeneous isotropic elastic half-space. Rectangular-type irregularity is considered at the interface of sandy layer and half-space. Analytical expressions for displacement fields are derived by adopting variable separation method. The dispersion frequency equation for the phase velocity of Love wave is also derived by using suitable boundary conditions. Special cases for orthotropic elastic half-space is discussed. Also the validation with standard Love wave equation is also verified, discussed in the particular case. Significant effects of various parameters like sandiness, irregularity, inhomogeneity and thickness ratio are observed by analyzing the dispersion frequency equation graphically using the MATLAB software. Theoretical results obtained regarding Love wave propagation in the considered model serve as major highlights, having significant relevance in the field of geophysics, materials physics, soil mechanics and earthquake engineering.
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