Moving load on an elastic half-space coated with a thin vertically inhomogeneous layer

Saad Althobaiti, Vladimir Bratov, Ali Mubaraki, Danila Prikazchikov

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations


The study is focussed on the near-critical regimes of the moving load on a coated elastic half-space. The material properties of the coating are assumed to be depending on the vertical coordinate. The analysis relies on the hyperbolic-elliptic formulation for the Rayleigh wave induced by prescribed surface loading, containing an elliptic equation for the elastic potential governing its decay over the interior, and a singularly perturbed wave equation on the interface between the layer and the substrate. This scalar formulation allows significant simplifications, including in particular, classification of the near-resonant regimes. The method of fictitious absorption is then used in order to incorporate the effect of poles, associated with the radiation of energy from the moving source. Finally, numerical illustrations of results for several types of vertical inhomogeneity are presented.

Original languageEnglish
Title of host publicationEURODYN 2020 - 11th International Conference on Structural Dynamics, Proceedings
EditorsManolis Papadrakakis, Michalis Fragiadakis, Costas Papadimitriou
PublisherEuropean Association for Structural Dynamics
Number of pages11
ISBN (Electronic)9786188507210
StatePublished - 2020
Event11th International Conference on Structural Dynamics, EURODYN 2020 - Virtual, Athens, Greece
Duration: 23 Nov 202026 Nov 2020

Publication series

NameProceedings of the International Conference on Structural Dynamic , EURODYN
ISSN (Print)2311-9020


Conference11th International Conference on Structural Dynamics, EURODYN 2020
CityVirtual, Athens

Scopus subject areas

  • Building and Construction
  • Architecture
  • Civil and Structural Engineering


  • Asymptotic model
  • Inhomogeneous
  • Moving load
  • Rayleigh wave
  • Thin coating


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