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Effect of failure criterion on slope stability analysis
Published in António S. Cardoso, José L. Borges, Pedro A. Costa, António T. Gomes, José C. Marques, Castorina S. Vieira, Numerical Methods in Geotechnical Engineering IX, 2018
F. Tschuchnigg, H.F. Schweiger, M. Sallinger
Therefore, displacement based finite element analyses (SRFEA) became increasingly popular over the last decades. But, as shown in Tschuchnigg et al. (2015a), large differences between friction angle ϕ’ and dilatancy angle ψ’ may lead to numerical problems without any clear definition of the factor of safety. Stability may also be assessed using finite element limit analysis (FELA), which are based upon the limit theorems of plasticity, that predict failure by optimising the applied loads with consideration of the stress equilibrium equations, the stress-strain relationship and the kinematic compatibility of the problem (e.g. Sloan 2013).
Effect of failure criterion on slope stability analysis
Published in António S. Cardoso, José L. Borges, Pedro A. Costa, António T. Gomes, José C. Marques, Castorina S. Vieira, Numerical Methods in Geotechnical Engineering IX, 2018
F. Tschuchnigg, H.F. Tschuchnigg, M. Sallinger
Therefore, displacement based finite element analyses (SRFEA) became increasingly popular over the last decades. But, as shown in Tschuchnigg et al. (2015a), large differences between friction angle φ’ and dilatancy angle ψ may lead to numerical problems without any clear definition of the factor of safety. Stability may also be assessed using finite element limit analysis (FELA), which are based upon the limit theorems of plasticity, that predict failure by optimising the applied loads with consideration of the stress equilibrium equations, the stress-strain relationship and the kinematic compatibility of the problem (e.g. Sloan 2013).
Measuring stiffness of soils in situ
Published in Fusao Oka, Akira Murakami, Ryosuke Uzuoka, Sayuri Kimoto, Computer Methods and Recent Advances in Geomechanics, 2014
Fusao Oka, Akira Murakami, Ryosuke Uzuoka, Sayuri Kimoto
Finite Element LimitA nalysis is a finite element technique based upon the limit theorems of plasticity. Unlike traditional displacement based finite element formulations, Finite Element Limit Analysis formulations, when properly implemented, provide rigorous upper and lower bound solutions that bound the true
Three dimensional undrained bearing capacity analysis of laterally loaded pile in heterogeneous marine deposits
Published in Marine Georesources & Geotechnology, 2022
Ardavan Izadi, Reza Jamshidi Chenari
The results of the current study on the three-dimensional undrained bearing capacity of the laterally loaded pile using finite element lower bound were compared to the findings of other researchers via various method of analysis including limit equilibrium of Broms (1964), Meyerhof, Mathur, and Valsangkar (1981), Georgiadis, Georgiadis, and Anagnostopoulos (2013), upper bound limit analysis of Murff and Hamilton (1993), Yu, Huang, and Zhang (2015) and the finite element of Keawsawasvong and Ukritchon (2020). Note that the studies of Broms (1964), Meyerhof, Mathur, and Valsangkar (1981), Georgiadis, Georgiadis, and Anagnostopoulos (2013), and Murff and Hamilton (1993) were based on the weightless soil while Yu, Huang, and Zhang (2015) and Keawsawasvong and Ukritchon (2020) considered a full range of soil unit weight factor. Figures 9 and 10 show the variation of horizontal load factor h = H/cuLD versus L/D for weightless soil and different soil unit weight factor values n = γL/cu, respectively. Note that the purely horizontal load was considered in these studies, the pile length was limited to the soil surface, no tension interface was assumed and the soil-pile interface adhesion factor was 1. As the results of this study are based on three-dimensional finite element lower bound solution, the calculated lateral load factors with this method can be lower than actual loads and consequently lower values of lateral load factors in comparison to the findings of other researchers are expected. As the lower bound finite element limit analysis yields to a more conservative solution, the findings of this study can be efficiently used as the basis of design purpose, and the results of other studies can be used to double check the accuracy of the results, and shed light upon the most probable failure mechanisms, corresponding stress and velocity fields, etc. By increasing the soil unit weight factor, the accommodation between the results of this study and finite element solutions of Keawsawasvong and Ukritchon (2020) increases. Good agreement between the results of three-dimensional finite element analysis of Keawsawasvong and Ukritchon (2020) with commercial finite element software PLAXIS and three-dimensional finite element lower bound solutions of this study shows good consistency in the estimation of the lateral load factor and the deviation between the results is justified due to the different methodologies of analysis, optimization approach, and the assumptions embedded. It can be deduced from Figures 9 and 10 that an increase in embedment length ratio and soil unit weight factor results in a rise of lateral load factor.