Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

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Prikazchikov D. A. NEAR-RESONANT REGIMES OF A STEADY-STATE MOVING LOAD ON A TRANSVERSELY ISOTROPIC ELASTIC HALF-PLANE. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2015, vol. 15, iss. 2, pp. 215-221. DOI: 10.18500/1816-9791-2015-15-2-215-221, EDN: TXMFTV

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Prikazchikov D. A., Keele University

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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