Vertical S waves in soil stratum over halfspace

S. Erlingsson*, A. Bodare

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


An analytical model of a soil layer resting on a halfspace with vertically propagating shear waves is studied under a harmonic excitation on the surface. The soil is treated as a Kelvin-Voigt continuum, using the one-dimensional wave equation. The material parameters can be strain dependent. A hyperbolic model proposed by Hardin & Drnevich is used for describing the nonlinear stress-strain relationship. Based on this, a solution to a problem where thirty thousand people were jumping to the rhythm of rock music on the field in a stadium is given. The soil stratum is a 5-60m thick uniform soft high-plastic clay. The particle velocity was estimated to range from 22·5 mm/s to 45 mm/s in the first overtone. These velocity values exceeded the critical value, of 20 mm/s, of the German building code DIN 4150 which may explain the occurence of damages.

Original languageEnglish
Pages (from-to)427-434
Number of pages8
JournalSoil Dynamics and Earthquake Engineering
Issue number7
Publication statusPublished - 1992

Bibliographical note

Funding Information:
The work presented in this paper is part of a research project on surface excited soil problems. The project is supported by the Swedish Council for Building Research.

Other keywords

  • analytical solution
  • dynamics
  • Kelvin-Voigt material
  • linear
  • nonlinear
  • site response
  • soil dynamics
  • surface excited
  • waves


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