ON THE CAUSALITY OF THE RAYLEIGH WAVE

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ERBAŞ B., ŞAHİN O.

JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES, vol.11, no.4, pp.449-461, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 11 Issue: 4
  • Publication Date: 2016
  • Doi Number: 10.2140/jomms.2016.11.449
  • Journal Name: JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.449-461
  • Keywords: moving load, causality, Rayleigh wave, hyperbolic-elliptic model, ELASTIC HALF-SPACE, SURFACE-WAVES, ARBITRARY PROFILE, SCHOLTE WAVES, MEDIA, LOAD
  • Anadolu University Affiliated: Yes

Abstract

An explicit hyperbolic-elliptic formulation for surface Rayleigh waves is analysed with an emphasis on the causality of obtained results. As an example, a 3D moving load problem for a distributed vertical load is considered. A simple approximate solution is derived for a near-resonant regime, and the related point load solution is recast as a limiting case. It is shown that causality is characteristic only for the longitudinal wave potential along the surface, where it is governed by a hyperbolic equation modelling the small dilatation disturbances propagating at the Rayleigh wave speed.