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Monte Carlo study of multiple scattering of steady-state waves in a one-dimensional random multi-layer medium

•A new analytical solution of the one-dimensional wave propagation is proposed to predict the steady-state SH wave behaviour in a one-dimensional random multi-layer medium with both periodic and non-periodic structures.•A finite element model sandwiched by non-reflective boundary is proposed and use...

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Bibliographic Details
Published in:International journal of mechanical sciences 2021-09, Vol.206, p.106608, Article 106608
Main Authors: Meng, Kangpei, Li, Q.M.
Format: Article
Language:English
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Summary:•A new analytical solution of the one-dimensional wave propagation is proposed to predict the steady-state SH wave behaviour in a one-dimensional random multi-layer medium with both periodic and non-periodic structures.•A finite element model sandwiched by non-reflective boundary is proposed and used to verify the analytical solution.•Monte carlo studies are conducted to demonstrate the influence of randomness of segment length on the wave propagation behaviour and the band structure.•An elastic model with structural damping is proposed to describe the homogenized wave behaviour in the multi-layer medium. An analytical solution of the one-dimensional wave propagation is proposed to predict the steady-state SH wave behaviour in a one-dimensional random multi-layer medium with both periodic and non-periodic structures. A finite element model sandwiched by non-reflective boundary is also proposed and used to verify the analytical solution. Monte Carlo studies are conducted to demonstrate the influence of randomness of segment length on the wave propagation behaviour and the band structure. A macroscopic elastic model with structural damping is proposed to describe the homogenized steady-state wave behaviour in the multi-layer medium. [Display omitted]
ISSN:0020-7403
1879-2162
DOI:10.1016/j.ijmecsci.2021.106608