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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 |
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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 Mathematics |
Depositing User: | Symplectic |
Date Deposited: | 27 Jul 2018 11:23 |
Last Modified: | 21 Jul 2019 01:30 |
URI: | https://eprints.keele.ac.uk/id/eprint/5137 |