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Analysis of Love Waves in an Initially Stressed Transversely Isotropic Porous Layer Over Heterogeneous Half Space with Parabolic Irregularity

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Abstract

Purpose

The primary focus of this research article is to analyze the propagation of Love waves in an initially stressed transversely isotropic fluid-saturated porous layer resting over a non-homogenous elastic half-space with irregularity at the interface of porous layer and half space. The irregularity has been taken in the form of parabola.

Methods

Biot’s theory of elasticity is used to find the equation of motion for each medium for the considered model. Fourier and inverse Fourier transformations has been applied to solve the system of differential equations followed by Eringen’s perturbation method to obtain the dispersion equation for Love waves propagating in transversely isotropic fluid saturated porous layer.

Results

The dispersion equation have been plotted graphically by using MATLAB graphical routines illustrating the dimensionless phase velocity curve against the dimensionless wave number for different values of the inhomogeneity parameter, initial stress, along with different ratios of the depth of the irregularity to the height of the layer.

Conclusion

The numerical calculations and their graphical representations reveal that the phase velocity of Love wave is affected by various parameters, such as inhomogeneity parameter, initial stress, wavenumber, irregularity shape and size, and the ratio of the depth of the irregularity to height of the layer.

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Data Availability

The data referenced in this article is properly cited, and the codes produced or analyzed during this study, which are included in this paper, can be obtained from the corresponding author upon reasonable request.

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Authors and Affiliations

  1. Department of Mathematics, Chandigarh University, Mohali, 140413, India

    Abhilasha Saini & Ravinder Kumar

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  1. Abhilasha Saini
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  2. Ravinder Kumar
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Correspondence to Ravinder Kumar.

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Saini, A., Kumar, R. Analysis of Love Waves in an Initially Stressed Transversely Isotropic Porous Layer Over Heterogeneous Half Space with Parabolic Irregularity. J. Vib. Eng. Technol. (2024). https://doi.org/10.1007/s42417-024-01298-z

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  • DOI: https://doi.org/10.1007/s42417-024-01298-z

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