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Importance of seismic wave frequency in FEM-based dynamic stress and displacement calculations of the earth slope Cover

Importance of seismic wave frequency in FEM-based dynamic stress and displacement calculations of the earth slope

Studia Geotechnica et Mechanica
Volume 44 (2022): Issue 1 (March 2022)
By: Krzysztof Fuławka,  Anna Kwietniak,  Vera Lay and  Izabela Jaśkiewicz-Proć  
Open Access
|Feb 2022

Figures & Tables

Figure 1

Comparison of spectrograms for mining-induced high-energy tremors with energy of 1.9 × 109 J (left) and 1.2 × 107 J (right).
Comparison of spectrograms for mining-induced high-energy tremors with energy of 1.9 × 109 J (left) and 1.2 × 107 J (right).

Figure 2

The dominant frequency content of LGCB mining-induced tremors in relation to their epicentral distance and energy (over 430 entries, vertical and horizontal components were studied).
The dominant frequency content of LGCB mining-induced tremors in relation to their epicentral distance and energy (over 430 entries, vertical and horizontal components were studied).

Figure 3

The spectral amplitude characteristic of harmonic signals used in FEM dynamic analysis.
The spectral amplitude characteristic of harmonic signals used in FEM dynamic analysis.

Figure 4

Geometry of slope used for numerical simulation.
Geometry of slope used for numerical simulation.

Figure 5

Maximum element size in the dynamic model according to Kuhlemeyer and Lysmer law (blue line) and element size used for the purposes of this analysis (red bars).
Maximum element size in the dynamic model according to Kuhlemeyer and Lysmer law (blue line) and element size used for the purposes of this analysis (red bars).

Figure 6

Analysed variants of seismic load direction.
Analysed variants of seismic load direction.

Figure 7

Matrix of numerical scenarios used for the presented research.
Matrix of numerical scenarios used for the presented research.

Figure 8

The calculated absolute values of displacement (top) and shear stress (down) changes at the base of the analysed slope depending on the used frequency.
The calculated absolute values of displacement (top) and shear stress (down) changes at the base of the analysed slope depending on the used frequency.

Figure 9

The maximum calculated value of total displacement (top) and shear stress (bottom) at the base of the slope for all 180 cases.
The maximum calculated value of total displacement (top) and shear stress (bottom) at the base of the slope for all 180 cases.

Figure 10

The RSM surface map of the relation between dominant frequency, slope angle and displacement (left) and shear stress (right) for scenarios in which the direction of seismic load is the same as the direction of slope failure.
The RSM surface map of the relation between dominant frequency, slope angle and displacement (left) and shear stress (right) for scenarios in which the direction of seismic load is the same as the direction of slope failure.

Figure 11

The RSM surface map of the relation between dominant frequency, slope angle and displacement (left) and shear stress (right) for scenarios in which the direction of seismic load is opposite to the direction of slope failure.
The RSM surface map of the relation between dominant frequency, slope angle and displacement (left) and shear stress (right) for scenarios in which the direction of seismic load is opposite to the direction of slope failure.

Material parameters used for numerical simulation_

ParameterUnit weightYoung modulusPoisson ratioTensile strengthCohesionFriction angleDilation angle
UnitkN/m3kPa-kPakPa°°
Value19100,0000.455380
DOI: https://doi.org/10.2478/sgem-2022-0002 | Journal eISSN: 2083-831X | Journal ISSN: 0137-6365
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Language: English
Page range: 82 - 96
Submitted on: Jun 22, 2021
Accepted on: Dec 16, 2021
Published on: Feb 9, 2022
Published by: Wroclaw University of Science and Technology
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year
Keywords:
Slope stability,
Numerical analysis,
Seismic load,
Frequency analysis
Related subjects:
Geosciences,
Geosciences, other,
Materials sciences,
Composites,
Porous materials,
Physics,
Mechanics and fluid dynamics

© 2022 Krzysztof Fuławka, Anna Kwietniak, Vera Lay, Izabela Jaśkiewicz-Proć, published by Wroclaw University of Science and Technology
This work is licensed under the Creative Commons Attribution 4.0 License.

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