Probabilistic Assessment of Seismic Bearing Capacity of Strip Footings Seated on Heterogeneous Slopes Using Finite Element Limit Analysis (FELA) and Response Surface Method (RSM)

DOI

10.2991/978-94-6463-104-3_18How to use a DOI?

Keywords

Slope stability; Seismic Bearing capacity; Shallow footing; Surface response method; Finite element limit analysis (FELA); Reliability index; Random variability

Abstract

The paper demonstrates the use of the response surface method (RSM) to carry out probabilistic assessment of the seismic bearing capacity of shallow footings seated near naturally occurring heterogeneous slopes. To this end, a pseudo-static loading is applied to a randomly uniform slope, which is homogeneous in each case but random between realizations. The method substantially reduces the number of Monte Carlo simulations required to carry out cumbersome probabilistic slope stability analyses. A finite element limit analysis model based on the lower bound theorem is developed, which is then used to generate a large synthetic database of numerical results for the seismic bearing capacity of shallow foundations resting on inherently variable natural slopes. To this end, a permutation of the key parameters is formed and lower bound FELA-based limit loads are sought through optimization in MATLAB. A closed-form solution is formulated using RSM-based polynomials. The RSM equations, which are acquired from least squares regression analyses, are used to carry out probabilistic Monte Carlo simulations and the results are presented in forms of cumulative distribution functions. Results from the probabilistic analyses are introduced into some reliability-based design approach to render design loads for different reliability levels.

Copyright

© 2023 The Author(s)

Open Access

Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

Download article (PDF)

TY  - CONF
AU  - Hessam Fathipour
AU  - Sina Javankhoshdel
AU  - Yousef Abolfazlzadeh
AU  - Meghdad Payan
AU  - Reza Jamshidi Chenari
PY  - 2023
DA  - 2023/03/01
TI  - Probabilistic Assessment of Seismic Bearing Capacity of Strip Footings Seated on Heterogeneous Slopes Using Finite Element Limit Analysis (FELA) and Response Surface Method (RSM)
BT  - Proceedings of the TMIC 2022 Slope Stability Conference (TMIC 2022)
PB  - Atlantis Press
SP  - 199
EP  - 209
SN  - 2589-4943
UR  - https://doi.org/10.2991/978-94-6463-104-3_18
DO  - 10.2991/978-94-6463-104-3_18
ID  - Fathipour2023
ER  -