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Pré-Publication, Document De Travail Année : 2020

Effective model for elastic waves propagating in a substrate supporting a dense array of plates/beams with flexural resonances

Jean-Jacques Marigo
Kim Pham
Agnès Maurel
Sebastien Guenneau

Résumé

We consider the effect of an array of plates or beams over a semi-infinite elastic ground on the propagation of elastic waves hitting the interface. The plates/beams are slender bodies with fle-xural resonances at low frequencies able to perturb significantly the propagation of waves in the ground. An effective model is obtained using asymptotic analysis and homogenization techniques , which can be expressed in terms of the ground alone with effective dynamic (frequency-dependent) boundary conditions of the Robin's type. For an incident plane wave at oblique incidence, the displacement fields and the reflection coefficients are obtained in closed forms and their validity is inspected by comparison with direct numerics in a two-dimensional setting.
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Dates et versions

hal-02441350 , version 1 (15-01-2020)

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  • HAL Id : hal-02441350 , version 1

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Jean-Jacques Marigo, Kim Pham, Agnès Maurel, Sebastien Guenneau. Effective model for elastic waves propagating in a substrate supporting a dense array of plates/beams with flexural resonances. 2020. ⟨hal-02441350⟩
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