Abstract
In the frames of the mathematical model of the gradient-elastic continuum, i.e., the medium with the stress–strain state described by the strain tensor, the second gradients of the displacement vector, the asymmetric stress tensor, and the moment stress tensor, we consider the problem of generating disturbances by a moving source. It is assumed that the source moves at a constant speed along the border of the half-space. The problem is considered in a two-dimensional formulation, when all processes are homogeneous along the horizontal transverse coordinate axis. The displacement vector contains two components: longitudinal and vertical transverse. As a result of analytical studies, it has been shown that a moving source will generate waves propagating along the border of a half-space and decreasing exponentially into its depth. Such a wave, in contrast to the classical surface Rayleigh wave, has a dispersion, since its phase velocity is not constant, but depends on the frequency. The displacement amplitudes vary depending on the magnitude of the load of the moving source and its speed.
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This work was supported by a grant from the Government of the Russian Federation (contract No. 14.Y26.31.0031).
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Antonov, A.M., Erofeev, V.I., Malkhanov, A.O., Novoseltseva, N.A. (2021). Excitation of the Waves with a Focused Source, Moving Along the Border of Gradient-Elastic Half-Space. In: dell'Isola, F., Igumnov, L. (eds) Dynamics, Strength of Materials and Durability in Multiscale Mechanics. Advanced Structured Materials, vol 137. Springer, Cham. https://doi.org/10.1007/978-3-030-53755-5_2
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