Geodesic
Near-resonant regimes of a steady-state moving load on a transversely isotropic elastic half-plane
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 15 (2015) no. 2, pp. 215-221.

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A moving load problem on a transversely isotropic elastic half-plane is considered under steady-state assumption. The approach relies on the hyperbolic-elliptic asymptotic model for surface wave, allowing drastic simplifications. In particular, the formulation is reduced to a Dirichlet problem for a scaled Laplace equation having a straightforward solution in terms of elementary functions. The obtained approximate solutions are valid for loads travelling at speeds close to surface wave speed. 
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D. A. Prikazchikov. Near-resonant regimes of a steady-state moving load on a transversely isotropic elastic half-plane. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 15 (2015) no. 2, pp. 215-221. http://geodesic.mathdoc.fr/item/ISU_2015_15_2_a12/

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