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

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

IMA JOURNAL OF APPLIED MATHEMATICS, cilt.78, sa.5, ss.1078-1086, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 78 Sayı: 5
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1093/imamat/hxs010
  • Dergi Adı: IMA JOURNAL OF APPLIED MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1078-1086
  • Anahtar Kelimeler: asymptotic model, Rayleigh wave, mixed boundary value problem, SURFACE
  • Anadolu Üniversitesi Adresli: Evet

Özet

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.