Prikazchikov, D, Prikazchikova, LA and Khajiyeva, L (2018) Hyperbolic-elliptic model for surface wave in a pre-stressed incompressible elastic half-space. Mechanics Research Communications, 92. pp. 49-53. ISSN 0093-6413

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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 σ 2, is investigated. Finally, an illustrative example of the Lamb problem is considered, demonstrating the efficiency of the approach.

Item Type: Article
Additional Information: This is the accepted author manuscript (AAM). The final published version (version of record) is available online via Elsevier at https://doi.org/10.1016/j.mechrescom.2018.07.006 - please refer to any applicable terms of use of the publisher.
Uncontrolled Keywords: pre-stress, incompressible, surface wave, asymptotic, hyperbolic-elliptic
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Divisions: Faculty of Natural Sciences > School of Computing and Maths
Depositing User: Symplectic
Date Deposited: 27 Jul 2018 11:23
Last Modified: 19 Oct 2018 08:46
URI: http://eprints.keele.ac.uk/id/eprint/5137

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