L.A. Khajiyeva
Hyperbolic-elliptic model for surface wave in a pre-stressed incompressible elastic half-space
Khajiyeva, L.A.; Prikazchikov, D.A.; Prikazchikova, L.A.
Authors
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Peer Reviewed | Not Peer Reviewed |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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Publisher Licence URL
https://creativecommons.org/licenses/by-nc-nd/4.0/
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