On the 3D Rayleigh wave field on an elastic half-space subject to tangential surface loads

EGE N., ERBAŞ B., Prikazchikov D. A.

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, vol.95, no.12, pp.1558-1565, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 95 Issue: 12
  • Publication Date: 2015
  • Doi Number: 10.1002/zamm.201400211
  • Journal Name: ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1558-1565
  • Keywords: Rayleigh wave, asymptotic model, tangential load, ARBITRARY PROFILE, SCHOLTE WAVES, VIBRATIONS, MEDIA, MODEL
  • Anadolu University Affiliated: Yes

Abstract

This study is concerned with analysis of the Rayleigh wave field in a 3D isotropic elastic half-space subject to in-plane surface loading. The approach relies on the slow time perturbation of the general representation for the Rayleigh wave eigensolutions in terms of harmonic functions. The resulting hyperbolic-elliptic formulation allows decomposition of the original vector problem of 3D elasticity into a sequence of scalar Dirichlet and Neumann problems for the Laplace equation. The boundary conditions for these are specified through a 2D hyperbolic equation. An example of an impulse tangential load illustrates the efficiency of the derived asymptotic formulation, with the results expressed in terms of elementary functions. (C) 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim