期刊
MECHANICS RESEARCH COMMUNICATIONS
卷 92, 期 -, 页码 49-53出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mechrescom.2018.07.006
关键词
Pre-stress; Incompressible; Surface wave; Asymptotic; Hyperbolic-elliptic
类别
资金
- Ministry of Education and Science of the Republic of Kazakhstan [IRN AP05132743]
- Erasmus + KA107
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 sigma(2), is investigated. Finally, an illustrative example of the Lamb problem is considered, demonstrating the efficiency of the approach. (C) 2018 Elsevier Ltd. All rights reserved.
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