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Rayleigh wave propagation in isotropic sandy layer sliding over isotropic sandy semi-infinite medium with sliding contact

Madan Dinesh Kumar, Kumar Naveen, Rani Annu

International Journal of Applied Mechanics and Engineering

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2023

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Vol. 28, no. 1

58--70

EN

The present study aims to investigate Rayleigh wave propagation in an isotropic sandy layer overlying an isotropic sandy semi-infinite medium, with interface considered to be imperfect (slide contact and dislocation like model). Expressions for displacement components are obtained using the variable separation method. The dispersion frequency equation for the Rayleigh wave propagating in sandy media is derived using suitable boundary conditions. Particular cases, such as when the interface is in smooth contact and when sandy media are replaced by elastic media, are also discussed. Using MATLAB software, the effects of the imperfectness parameter (slide contact and dislocation like model) and sandy parameter on the Rayleigh waves’ phase velocity are investigated and compared with the already obtained results of the dislocation like model. The present study may find useful applications in geophysics, civil engineering and soil mechanics.

2

Propagation of the torsional wave in an irregular self-reinforced composite material bounded between two half-spaces

Gupta Shishir, Das Sandip Kumar

Journal of Theoretical and Applied Mechanics

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2020

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Vol. 58 nr 4

971--982

EN

This research article is concerned with the analytical assessment and mathematical modelling to unveil the characteristic of a torsional wave in the irregular Earth’s crustal stratum. This investigation has been performed to clarify of possible occurrence of the torsional wave in an irregular self-reinforced composite layer bonded between dry sandy media and an isotropic elastic half-space. Rectangular and parabolic irregularities have been assumed at the interface of the intermediate layer and the lower half-space. In order to acquire the required dispersion equation, the appropriate boundary conditions with the assistance of displacement and stress components have been well satisfied. The effects of different affecting parameters such as reinforcement, sandiness, initial stress and irregularity parameters have been explored and explained by suitable graphs. Moreover, a comparative study has also been accomplished graphically for rectangular, parabolic, and no irregularities.

3

Compaction and liquefaction of a sandy layer: simulation of shaking table experiments

Sawicki A., Świdziński W.

Archives of Civil Engineering

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2013

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Vol. 59, nr 4

509--521

EN

This paper presents numerical simulations of the behavior of a sandy layer subjected to a cyclic horizontal acceleration in shaking table tests, with a particular attention focused on the settlements of a dry sand layer, and on the liquefaction of saturated sand. A compaction/liquefaction model (C/L) is applied to these simulations. The influence of specific parameters of the model on the compaction and liquefaction of a sandy layer is shown and discussed. The results of simulations are compared with selected experimental data.