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Hyperbolic-elliptic model for surface wave in a pre-stressed incompressible elastic half-space

Khajiyeva, L.A.; Prikazchikov, D.A.; Prikazchikova, L.A.

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Authors

L.A. Khajiyeva



Abstract

The paper aims at derivation of the asymptotic model for surface wave propagating in a pre-stressed incompressible elastic half-space, subject to prescribed surface loading. The approach relies on the slow-time perturbation procedure, extending the previously known hyperbolic-elliptic formulations for surface waves in compressible linearly elastic solids. Within the derived model, the decay away from the surface is governed by a pseudo-static elliptic equation, whereas wave propagation is described by a hyperbolic equation on the surface. The effect of pre-stress, namely, the principal Cauchy stress s 2, is investigated. Finally, an illustrative example of the Lamb problem is considered, demonstrating the efficiency of the approach.

Journal Article Type Article
Acceptance Date Jul 14, 2018
Publication Date Sep 1, 2018
Publicly Available Date Mar 29, 2024
Journal Mechanics Research Communications
Print ISSN 0093-6413
Publisher Elsevier
Peer Reviewed Not Peer Reviewed
Volume 92
Pages 49-53
DOI https://doi.org/10.1016/j.mechrescom.2018.07.006
Keywords pre-stress, incompressible, surface wave, asymptotic, hyperbolic-elliptic
Publisher URL https://doi.org/10.1016/j.mechrescom.2018.07.006

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