Effect of Roughness on Seismic Bearing Capacity of Shallow Foundations near Slopes Using the Lower Bound Finite Element Method
Publication: International Journal of Geomechanics
Volume 21, Issue 3
Abstract
A lower bound finite element analysis in conjunction with linear programming technique was used to evaluate the effect of soil–foundation interface roughness on the seismic limit load of shallow foundations placed in the vicinity of slopes. The approach followed in this study to take into account seismic forces is pseudostatic. The roughness factor (δ/φ) at soil–foundation interface was considered in a complete range of 0 (perfectly smooth) to 1 (fully rough) stepwise with an increment of 1/3. Furthermore, the effects of superstructure seismic inertia forces, and nonlinear programming, which is called second-order cone programming, are also addressed. The formulation of the finite element lower solution was extended for the case of pseudostatic conditions. The findings of this study have been compared with solutions reported in the literature, and the consistency of the results confirmed the formulation of the extended finite element lower bound in the presence of seismic forces. Results of the current study clearly endorse the fact that the soil–foundation interface roughness exhibits more highlighted contributions when a footing is underlain by an adjacent slope and subject to seismic loading. The results of the current study are presented in the form of table design charts.
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Acknowledgments
On behalf of all the authors, the corresponding author states that there is no conflict of interest. The authors declare that they did not receive any specific grant from funding agencies in the public, commercial, or not-for-profit sectors.
This paper is a part of research jointly conducted by the first author, Mr. Ardavan Izadi, who is a Ph.D. student in University of Guilan, the second author, Mr. Ahmad Foroutan Kalourazi, who is a M.Sc student in the same university, and the third author, Professor Reza Jamshidi Chenari, who is the supervisor for both of the mentioned students. The coding and the algorithms development was carried out by the students, especially Mr. Ardavan Izadi, and the methodology, decision on the parameter’s selection, and the format of presentation of the graphs and also the English language editing task was contributed by Professor Reza Jamshidi Chenari.
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Published In
International Journal of Geomechanics
Volume 21 • Issue 3 • March 2021
Copyright
© 2020 American Society of Civil Engineers.
History
Received: Apr 1, 2020
Accepted: Oct 1, 2020
Published online: Dec 28, 2020
Published in print: Mar 1, 2021
Discussion open until: May 28, 2021
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