The Rayleigh wave field in mixed problems for a half-plane

ERBAŞ B., Kaplunov J., Prikazchikov D. A.

IMA JOURNAL OF APPLIED MATHEMATICS, vol.78, no.5, pp.1078-1086, 2013 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 78 Issue: 5
  • Publication Date: 2013
  • Doi Number: 10.1093/imamat/hxs010
  • Journal Name: IMA JOURNAL OF APPLIED MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1078-1086
  • Keywords: asymptotic model, Rayleigh wave, mixed boundary value problem, SURFACE
  • Anadolu University Affiliated: Yes

Abstract

The note develops an approximate approach to mixed boundary value problems in linear elasticity starting from an explicit asymptotic model for the Rayleigh surface wave. It is demonstrated that the original vector mixed problem may be reduced to a scalar problem for the Laplace equation. As an illustration, the steady-state motion of a rigid stamp is analysed. Comparison of asymptotic and exact results is presented.