<p>This work delves into the mathematical modeling and analysis of scattering of Love-type wave (LTW) owing to the existence of surface irregularity on a dissimilar inhomogeneous slightly compressible elastic layer (IHSCEL) concatenated to another inhomogeneous slightly compressible elastic half-space (IHSCEHS) with spring and sliding interfaces. By means of applicable mathematical techniques, the expressions for displacement components (DCs) and dispersion relations (DRs) of LTW for incident as well as scattered wave fields are established in a closed form. Considering surface irregularities in the forms of rectangular-shaped irregularity (RSI), parabolic-shaped irregularity (PSI) and triangular-shaped irregularity (TSI), closed-form expressions of reflected displacement fields (RDFs) of LTW are also determined for both the cases of spring and sliding interfaces. As special cases of the present study, the determined results of DRs and RDFs of LTW are found to be in line with the existing results of the literature. The impacts of considered irregularity forms and associated parameters, viz. irregularity width, irregularity depth, inhomogeneity parameters and interfacial spring parameter, on RDF of LTW are delineated graphically by means of numerical computation. In addition to this, the influences of wave number, inhomogeneity parameters and interfacial spring parameter on the phase velocity of LTW are also manifested. Further, a comparative analysis between inhomogeneous slightly compressible elastic layered structure and its homogeneous counterpart for spring and sliding interfaces is explored based on RDF and phase velocity of LTW for the associated affecting parameters. The outgrowth of the present study evidently emphasizes the role and impact of inhomogeneity, irregularity, wave number, spring and sliding interfaces on the concealed characteristics of LTW.</p>

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Impacts of surface irregularity and inhomogeneity on Love-type wave in slightly compressible elastic system with spring and sliding interfaces: a comparative study

  • Santan Kumar,
  • Md Hasanuzzaman,
  • Richa Kumari

摘要

This work delves into the mathematical modeling and analysis of scattering of Love-type wave (LTW) owing to the existence of surface irregularity on a dissimilar inhomogeneous slightly compressible elastic layer (IHSCEL) concatenated to another inhomogeneous slightly compressible elastic half-space (IHSCEHS) with spring and sliding interfaces. By means of applicable mathematical techniques, the expressions for displacement components (DCs) and dispersion relations (DRs) of LTW for incident as well as scattered wave fields are established in a closed form. Considering surface irregularities in the forms of rectangular-shaped irregularity (RSI), parabolic-shaped irregularity (PSI) and triangular-shaped irregularity (TSI), closed-form expressions of reflected displacement fields (RDFs) of LTW are also determined for both the cases of spring and sliding interfaces. As special cases of the present study, the determined results of DRs and RDFs of LTW are found to be in line with the existing results of the literature. The impacts of considered irregularity forms and associated parameters, viz. irregularity width, irregularity depth, inhomogeneity parameters and interfacial spring parameter, on RDF of LTW are delineated graphically by means of numerical computation. In addition to this, the influences of wave number, inhomogeneity parameters and interfacial spring parameter on the phase velocity of LTW are also manifested. Further, a comparative analysis between inhomogeneous slightly compressible elastic layered structure and its homogeneous counterpart for spring and sliding interfaces is explored based on RDF and phase velocity of LTW for the associated affecting parameters. The outgrowth of the present study evidently emphasizes the role and impact of inhomogeneity, irregularity, wave number, spring and sliding interfaces on the concealed characteristics of LTW.