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On the surface motion characteristics in a single layered half-space excited by bulk waves

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Abstract

In this paper, a study of bulk wave propagation in a layered half-space and the corresponding surface motion characteristics is reported. Two different types of layer material, namely elastic and viscoelastic, are considered. In both cases, the half-space is modeled as an elastic medium. The displacement functions are obtained for the free surface material point motion. In general, the free surface material point motion in a layered half-space is elliptical with certain aspect ratio and orientation. The aspect ratio and orientation depend upon the incident wave and medium properties. The effects of various parameters of the viscoelastic media on the material point motion are studied. The dependence of phase velocity and quality factor on frequency is derived using the creep function of the viscoelastic medium. The effects of various controllable parameters on the characteristics of surface displacement and material point motion are presented and discussed.

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Authors and Affiliations

  1. Department of Mechanical Engineering, IIT Kharagpur, Kharagpur, 721302, India

    Pankaj Kumar, Anirvan DasGupta & Ranjan Bhattacharyya

  2. Center for Theoretical Studies, IIT Kharagpur, Kharagpur, 721302, India

    Anirvan DasGupta

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  1. Pankaj Kumar
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  2. Anirvan DasGupta
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  3. Ranjan Bhattacharyya
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Correspondence to Pankaj Kumar.

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Kumar, P., DasGupta, A. & Bhattacharyya, R. On the surface motion characteristics in a single layered half-space excited by bulk waves. Acta Mech 228, 3329–3344 (2017). https://doi.org/10.1007/s00707-017-1868-6

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  • DOI: https://doi.org/10.1007/s00707-017-1868-6

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