In-plane vibrations of soil deposits with variable shear modulus. I: Surface waves. (English) Zbl 0702.73051
Summary: The propagation characteristics of dispersive SV/P surface waves are analytically studied in a linear-elastic, isotropic, compressible half- space with constant mass density and Poisson’s ratio and shear modulus increasing according to a continuous, bounded function of depth. Dispersion relations for the particular wave modes are evaluated over wide ranges of the parameters involved. Displacement profiles are presented for typical values of these parameters. Finally, an equivalent depth is given for use in connection with steady-state vibration techniques for site investigation.
MSC:
| 74L10 | Soil and rock mechanics |
| 74J15 | Surface waves in solid mechanics |
| 74J20 | Wave scattering in solid mechanics |
Keywords:
propagation characteristics; dispersive SV/P surface waves; linear- elastic, isotropic, compressible half-space; constant mass density; Poisson’s ratio; shear modulus increasing; continuous, bounded function of depth; Displacement profilesReferences:
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