Contribution to micromechanical modeling of the shear wave propagation in a sand deposit

Authors

DOI:

https://doi.org/10.15587/2706-5448.2024.301709

Keywords:

micromechanical model, sand deposit, discrete element method, shear wave propagation

Abstract

The object of study is the vertical wave propagation in a sand deposit. This paper is aimed at analyzing the vertical wave propagation in a sand deposit through micromechanical modeling that inherently takes account of intergranular slips during deformation. Such a problem, which is part of the general framework of wave propagation in the soil, has long been analyzed using continuum models based on approximate behavior laws. For this purpose, a 2D Discrete Element Method (DEM) model is developed. The DEM model is based on molecular dynamics with the use of circular shaped elements. The intergranular normal forces at contacts are calculated through a linear viscoelastic law while the tangential forces are calculated through a perfectly plastic viscoelastic model. A model of rolling friction is incorporated in order to account for the damping of the grains rolling motion. Different boundary conditions of the profile have been implemented; a bedrock at the base, a free surface at the top and periodic boundaries in the horizontal direction. The sand deposit is subjected to a harmonic excitation at the base. Using this model, the fundamental and resonance frequencies of the deposit are first determined. The former is determined from the low-amplitude free vibration and the latter by performing a variable-frequency excitation test. It is noted that there is a significant gap between the two frequencies, this gap could be attributed to the degradation of the soil shear modulus in the vicinity of the resonance. Such degradation is well proven in classical soil dynamics. The effects of deposit height and confinement on resonance frequency and free-surface dynamic amplification factor are then investigated. The obtained results highlighted that the resonance frequency is inversely proportional to the deposit’s thickness whereas the dynamic amplification factor Rd increases with the deposit’s thickness. In the other hand, when the confinement increases the deposit becomes stiffer, which results in reducing the amplification. Such result is in accordance with theoretical knowledge which states that the most rigid profiles such as rocks do not amplify seismic movement.

Author Biographies

Said Derbane, University of 20 August 1955 Skikda

Postgraduate Student

Department of Civil Engineering

LMGHU Laboratory

Mouloud Mansouri, Ferhat Abbas University of Setif

Associate Professor

Civil Engineering Research Laboratory of Setif (LRGCS)

Department of Civil Engineering

Salah Messast, University of 20 August 1955 Skikda

Professor

Department of Civil Engineering

LMGHU Laboratory

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Contribution to micromechanical modeling of the shear wave propagation in a sand deposit

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Published

2024-06-29

How to Cite

Derbane, S., Mansouri, M., & Messast, S. (2024). Contribution to micromechanical modeling of the shear wave propagation in a sand deposit. Technology Audit and Production Reserves, 3(1(77), 10–18. https://doi.org/10.15587/2706-5448.2024.301709

Issue

Vol. 3 No. 1(77) (2024): Industrial and technology systems

Section

Mechanics

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Copyright (c) 2024 Said Derbane, Mouloud Mansouri, Salah Messast

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