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Free-field dynamic response of an inhomogeneous half-space

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Abstract

In this work, elastic wave propagation in the inhomogeneous half-space is solved by an analytical approach based on plane wave decomposition in conjunction with appropriate functional transformations for the displacement vector. Specifically, free-field motions are recovered at the surface of a half-space with either quadratic or exponential type of depth-dependent material parameters. The incident wave is a time harmonic, planar pressure wave and the resulting free-field motions are obtained in closed form, first for the full-space and then for the half-space by adding the reflected waves. Parametric studies show marked differences in the results when compared against the corresponding ones for a homogeneous background. Finally, sensitivities of the free-field waves on the basic characteristics of the underlying inhomogeneous material and of the incoming wave are investigated.

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Authors and Affiliations

  1. Department of Civil Engineering, Aristotle University, 54124, Thessaloníki, Greece

    G. D. Manolis

  2. Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113, Sofia, Bulgaria

    T. V. Rangelov

  3. Institute of Mechanics, Bulgarian Academy of Sciences, 1113, Sofia, Bulgaria

    P. S. Dineva

Authors
  1. G. D. Manolis
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  2. T. V. Rangelov
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  3. P. S. Dineva
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Correspondence to G. D. Manolis.

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Manolis, G.D., Rangelov, T.V. & Dineva, P.S. Free-field dynamic response of an inhomogeneous half-space. Arch Appl Mech 79, 595–603 (2009). https://doi.org/10.1007/s00419-008-0288-4

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  • DOI: https://doi.org/10.1007/s00419-008-0288-4

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