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.

scholarly journals A bubble-enhanced quadrilateral finite element for estimation bearing capacity factors of strip footing

2021 ◽  
Vol 15 (2) ◽  
pp. 77-89
Author(s):  
Vo Minh Thien
Keyword(s):  
Finite Element ◽  
Bearing Capacity ◽  
Upper Bound ◽  
Limit Analysis ◽  
Optimization Problems ◽  
Plastic Material ◽  
Strip Footing ◽  
Flow Rule ◽  
Upper Bound Theorem ◽  
Quadrilateral Finite Element

In this paper, a computational approach using a combination of the upper bound theorem and the bubble-enhanced quadrilateral finite element (FEM-Qi6) is proposed to evaluate bearing capacity factors of strip footing in cohesive-frictional soil. The new element is built based on the quadrilateral element (Q4) by adding a pair of internal nodes to solve the volumetric locking phenomenon. In the upper bound finite element limit analysis, the soil behaviour is described as a perfectly plastic material and obeys associated plastic flow rule following the Mohr-Coulomb failure criterion. The discrete limit analysis problem can be formulated in the form of the well-known second-order cone programming to utilize the interior-point method efficiently. The bearing capacity factors of strip footing and failure mechanisms in both rough and smooth interfaces are obtained directly from solving the optimization problems and presented in design tables and charts for engineers to use. To demonstrate the accuracy of the proposed method, the results of bearing capacity factors using FEM-Qi6 were compared with those available in the literature. Keywords: limit analysis; bearing capacity factors; strip footing; SOCP; FEM-Qi6.

scholarly journals Industrial Digital Twins based on the non-linear LATIN-PGD

2021 ◽  
Vol 8 (1) ◽  
Author(s):  
Philippe Barabinot ◽  
Ronan Scanff ◽  
Pierre Ladevèze ◽  
David Néron ◽  
Bruno Cauville
Keyword(s):  
Finite Element ◽  
High Performance ◽  
Reduced Order Modeling ◽  
Computational Time ◽  
Reduced Order ◽  
Finite Element Software ◽  
Digital Twins ◽  
Non Linear ◽  
Industrial Level ◽  
Early Design Phase

AbstractDigital Twins, which tend to intervene over the entire life cycle of products from early design phase to predictive maintenance through optimization processes, are increasingly emerging as an essential component in the future of industries. To reduce the computational time reduced-order modeling (ROM) methods can be useful. However, the spread of ROM methods at an industrial level is currently hampered by the difficulty of introducing them into commercial finite element software, due to the strong intrusiveness of the associated algorithms, preventing from getting robust and reliable tools all integrated in a certified product. This work tries to circumvent this issue by introducing a weakly-invasive reformulation of the LATIN-PGD method which is intended to be directly embedded into Simcenter Samcef$$^{\hbox {TM}}$$ TM finite element software. The originality of this approach lies in the remarkably general way of doing, allowing PGD method to deal with not only a particular application but with all facilities already included in such softwares—any non-linearities, any element types, any boundary conditions...—and thus providing a new high-performance all-inclusive non-linear solver.

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