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Journal Articles SIAM Journal on Applied Mathematics Year : 2020

On well-posedness of scattering problems in a Kirchhoff-Love infinite plate

Abstract

We address scattering problems for impenetrable obstacles in an infinite elastic Kirchhoff-Love two-dimensional plate. The analysis is restricted to the purely bending case and the time-harmonic regime. Considering four types of boundary conditions on the obstacle, well-posedness for those problems is proved with the help of a variational approach: (i) for any wave number k when the plate is clamped, simply supported or roller supported; (ii) for any k except a discrete set when the plate is free (this set is finite for convex obstacles).
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Dates and versions

hal-02334004 , version 1 (25-10-2019)

Identifiers

  • HAL Id : hal-02334004 , version 1

Cite

Laurent Bourgeois, Christophe Hazard. On well-posedness of scattering problems in a Kirchhoff-Love infinite plate. SIAM Journal on Applied Mathematics, 2020, 80 (3), pp.1546-1566. ⟨hal-02334004⟩
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