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Dynamics of a linearly inhomogeneous incompressible isotropic elastic half-space

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Abstract

The study presented in this paper treats the harmonic and transient wave motion of an incompressible isotropic semi-infinite elastic medium with a shear modulus increasing linearly with depth. The medium has a constant mass density and an initial hydrostatic stress distribution due to a constant gravity. In particular, attention is given to the case of a vanishing top rigidity. For this case it is shown that the governing equations resemble the equations governing the deep water motion, and that under normal loading the behaviour of the upper surface resembles that of the upper surface of (deep) water.

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Authors and Affiliations

  1. Dept. of Civil Eng., Delft Univ. of Technology, Delft, The Netherlands

    G. F. J. Kruijtzer

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  1. G. F. J. Kruijtzer
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Kruijtzer, G.F.J. Dynamics of a linearly inhomogeneous incompressible isotropic elastic half-space. Appl. Sci. Res. 32, 1–29 (1976). https://doi.org/10.1007/BF00540773

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  • DOI: https://doi.org/10.1007/BF00540773

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