A novel closed-form solution for circular tunnels in cohesive-frictional soils using isogeometric analysis, upper bound limit analysis, and soft computing

IF 5.3 1区工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computers and Geotechnics Pub Date : 2025-01-23 DOI:10.1016/j.compgeo.2025.107104

Toan Nguyen-Minh , Tram-Ngoc Bui , Jim Shiau , Tan Nguyen , Trung Nguyen-Thoi

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引用次数: 0

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.

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来源期刊

Computers and Geotechnics 地学-地球科学综合

CiteScore

9.10

自引率

15.10%

发文量

438

审稿时长

45 days

期刊介绍： The use of computers is firmly established in geotechnical engineering and continues to grow rapidly in both engineering practice and academe. The development of advanced numerical techniques and constitutive modeling, in conjunction with rapid developments in computer hardware, enables problems to be tackled that were unthinkable even a few years ago. Computers and Geotechnics provides an up-to-date reference for engineers and researchers engaged in computer aided analysis and research in geotechnical engineering. The journal is intended for an expeditious dissemination of advanced computer applications across a broad range of geotechnical topics. Contributions on advances in numerical algorithms, computer implementation of new constitutive models and probabilistic methods are especially encouraged.