Upper bound finite element limit analysis method with discontinuous quadratic displacement fields and remeshing in non-homogeneous clays

2020 ◽  
Author(s):  
Rui Sun ◽  
Junsheng Yang ◽  
Yiding Zhao ◽  
Shouhua Liu
Keyword(s):  
Finite Element ◽  
Upper Bound ◽  
Limit Analysis ◽  
Analysis Method ◽  
Displacement Fields ◽  
Limit Analysis Method

scholarly journals Finite Element Limit Analysis of Active Earth Pressure in Nonhomogeneous soils

2016 ◽  
Vol 64 (4) ◽  
pp. 1131-1138
Author(s):  
Peyman Hamidi ◽  
Tohid Akhlaghi ◽  
Masoud Hajialilou Bonab
Keyword(s):  
Finite Element ◽  
Limit Analysis ◽  
Earth Pressure ◽  
Retaining Walls ◽  
Unit Weight ◽  
Analysis Method ◽  
True Solution ◽  
Soil Layers ◽  
Stability Of Slopes ◽  
Limit Analysis Method

Limit analysis is a useful method to calc1ulate bearing capacity of footings, earth pressure of retaining walls, stability of slopes and excavations. In recent years, many efforts have been focused on stability problems of geotechnical structures with the limit analysis method. The limit analysis method includes the upper and lower bound theorems. By using the two theorems, the range, in which the true solution falls, can be found. In this paper upper bound finite element limit analysis is used for calculate active earth force on retaining walls in non-homogeneous soils. Elements with linear strain rates cause to eliminate the necessity of velocity discontinuities between the elements. Nonlinear programming based on second order cone programming (SOCP) ,which has good conformity with Mohr-Coulomb criterion used in this paper. The sensitivity of active earth force against backfill surcharge (q), soil layers cohesion (Ci), soil layers unit weight (γi) and friction angle between soil and wall (δi) is surveyed.

scholarly journals Use of Evolutionary Computation to Improve Rock Slope Back Analysis

2020 ◽  
Vol 10 (6) ◽  
pp. 2012
Author(s):  
An-Jui Li ◽  
Abdoulie Fatty ◽  
I-Tung Yang
Keyword(s):  
Finite Element ◽  
Evolutionary Computation ◽  
Upper Bound ◽  
Limit Analysis ◽  
Optimization Problems ◽  
Continuous Functions ◽  
Computational Time ◽  
Irregular Solution ◽  
Non Linear ◽  
Geotechnical Problems

Generally, in geotechnical engineering, back analyses are used to investigate uncertain parameters. Back analyses can be undertaken by considering known conditions, such as failure surfaces, displacements, and structural performances. Many geotechnical problems have irregular solution domains, with the objective function being non-convex, and may not be continuous functions. As such, a complex non-linear optimization function is typically required for most geotechnical problems to attain a better understanding of these uncertainties. Therefore, particle swarm optimization (PSO) and a genetic algorithm (GA) are utilized in this study to facilitate in back analyses mainly based on upper bound finite element limit analysis method. These approaches are part of evolutionary computation, which is appropriate for solving non-linear global optimization problems. By using these techniques with upper-bound finite element limit analysis (UB-FELA), two case studies showed that the results obtained are reasonable and reliable while maintaining a balance between computational time and accuracy.

Sign in / Sign up

Export Citation Format

Share Document