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JOURNALS // Matematicheskoe Modelirovanie i Chislennye Metody // Archive

Mat. Mod. Chisl. Met., 2014 Issue 1, Pages 57–67 (Mi mmcm5)

Near-resonant regimes of a moving load in the plane-strain problem for a coated elastic half-space

Yu. D. Kaplunova, T. V. Oblakovab, D. A. Prikazchikovb

a Keele University
b Bauman Moscow State Technical University

Abstract: The paper is concerned with a plane strain problem of steady motion of a vertical impulse load along the surface of a coated elastic half-space. The near-resonant regimes of the moving load are investigated in the near-surface vicinity relying on the long-wave asymptotic model for the Rayleigh wave in a coated half-space. The classification of regimes is obtained depending on the relation between the speed of the moving load and the resonant Rayleigh wave speed along with the linear coefficient of dispersion of the coating. The cases when the radiation from the moving source occurs are pointed out. The results could be generalized to coatings with more sophisticated properties including the effects of anisotropy, viscosity and pre-stress.

Keywords: Moving load, asymptotic model, rayleigh wave, thin coating.

UDC: 539.3

Received: 06.03.2014



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