A novel closed-form solution for circular tunnels in cohesive-frictional soils using isogeometric analysis, upper bound limit analysis, and soft computing
Article
Article Title | A novel closed-form solution for circular tunnels in cohesive-frictional soils using isogeometric analysis, upper bound limit analysis, and soft computing |
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ERA Journal ID | 3466 |
Article Category | Article |
Authors | Nguyen-Minh, Toan, Bui-Ngoc, Tram, Shiau, Jim, Nguyen, Tan and Nguyen-Thoi, Trung |
Journal Title | Computers and Geotechnics |
Number of Pages | 24 |
Year | 2025 |
Publisher | Elsevier |
Place of Publication | United Kingdom |
ISSN | 0266-352X |
1873-7633 | |
Digital Object Identifier (DOI) | https://doi.org/10.1016/j.compgeo.2025.107104 |
Web Address (URL) | https://www.sciencedirect.com/science/article/pii/S0266352X25000527 |
Abstract | An innovative method for deriving closed-form solutions to evaluate the stability of circular tunnels in cohesive-frictional soils under uniform surcharge loading is introduced in this study. By integrating isogeometric analysis (IGA) with upper bound limit analysis (UB) and advanced soft computing techniques, the approach simplifies complex geotechnical calculations for practical engineering applications. Utilizing Bézier extraction and non-uniform rational B-splines (NURBS) basis functions, the IGA framework ensures precise geometric representation and finite element analysis. A key innovation in this study is the automatic generation of a large dataset comprising 14,050 samples with varied parameters using IGA-UB. This dataset is used to train a deep neural network (DNN) and develop a multivariate adaptive regression splines (MARS) model. An importance-based sensitivity analysis and partial dependence plots (PDPs) are employed to evaluate and visualize the impact of various parameters on the stability outcomes, providing deeper insights into feature interactions and their effects. The resulting robust closed-form solution facilitates hand calculations, greatly aiding engineers in practical design and stability assessments. This approach enhances computational efficiency and accuracy, making it a valuable tool in geotechnical engineering. |
Keywords | Uniform surcharge loading; Isogeometric Analysis (IGA); Deep Neural Network (DNN); Multivariate adaptive regression splines (MARS); Closed-form solution; Partial dependence plots (PDPs) |
Contains Sensitive Content | Does not contain sensitive content |
ANZSRC Field of Research 2020 | 400502. Civil geotechnical engineering |
Public Notes | Files associated with this item cannot be displayed due to copyright restrictions. |
Byline Affiliations | Ton Duc Thang University, Vietnam |
Van Lang University, Viet Nam | |
School of Engineering |
https://research.usq.edu.au/item/zv4zz/a-novel-closed-form-solution-for-circular-tunnels-in-cohesive-frictional-soils-using-isogeometric-analysis-upper-bound-limit-analysis-and-soft-computing
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