TY - GEN
T1 - Probabilistic Assessment of Bearing Capacity of Strip Footings Seated on Geosynthetic Reinforced Soil Deposits Using Finite Element Limit Analysis (FELA) and Response Surface Method (RSM)
AU - Jamshidi Chenari, Masoud
AU - Payan, Meghdad
AU - Jamshidi Chenari, Reza
AU - Dastpak, Pooya
AU - Sousa, Rita L.
N1 - Publisher Copyright:
© 2023 American Society of Civil Engineers (ASCE). All rights reserved.
PY - 2023
Y1 - 2023
N2 - The paper demonstrates the use of the response surface method (RSM) to carry out probabilistic assessment of the bearing capacity of shallow footings seated on geosynthetic reinforced granular layers over randomly variable soft clay deposits. The method substantially reduces the number of Monte Carlo simulations required to carry out the probabilistic finite element limit analyses of the bearing capacity problem. A finite element limit analysis model based on the lower bound theorem is furnished and verified using some well-known analytical methods, and is then used to generate a large synthetic database of numerical results for bearing capacity of shallow foundations on a reinforced granular fill over randomly variably soft clay deposits. To this end, a permutation of the important influencing 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 reliability-based design approach to render design loads for different reliability levels.
AB - The paper demonstrates the use of the response surface method (RSM) to carry out probabilistic assessment of the bearing capacity of shallow footings seated on geosynthetic reinforced granular layers over randomly variable soft clay deposits. The method substantially reduces the number of Monte Carlo simulations required to carry out the probabilistic finite element limit analyses of the bearing capacity problem. A finite element limit analysis model based on the lower bound theorem is furnished and verified using some well-known analytical methods, and is then used to generate a large synthetic database of numerical results for bearing capacity of shallow foundations on a reinforced granular fill over randomly variably soft clay deposits. To this end, a permutation of the important influencing 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 reliability-based design approach to render design loads for different reliability levels.
KW - Bearing capacity
KW - Finite element limit analysis (FELA)
KW - Random variability
KW - Reliability index
KW - Response surface method
KW - Shallow footing
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U2 - 10.1061/9780784484692.005
DO - 10.1061/9780784484692.005
M3 - Conference contribution
AN - SCOPUS:85151654254
T3 - Geotechnical Special Publication
SP - 40
EP - 50
BT - Geotechnical Special Publication
A2 - Rathje, Ellen
A2 - Montoya, Brina M.
A2 - Wayne, Mark H.
T2 - 2023 Geo-Congress: Sustainable Infrastructure Solutions from the Ground Up - Geotechnical Data Analysis and Computation
Y2 - 26 March 2023 through 29 March 2023
ER -