Elasto-plastic cell-based smoothed finite element method solving geotechnical problems

Fuente: arXiv
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Main Authors: Yang, Yang, Yan, Mingjiao, Zhang, Zongliang, Zhang, Miao, Zheng, Feidong, Pan, Dong, Lin, Xiaozi
Format: Preprint
Published: 2025
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_version_ 1866917101862649856
author Yang, Yang
Yan, Mingjiao
Zhang, Zongliang
Zhang, Miao
Zheng, Feidong
Pan, Dong
Lin, Xiaozi
author_facet Yang, Yang
Yan, Mingjiao
Zhang, Zongliang
Zhang, Miao
Zheng, Feidong
Pan, Dong
Lin, Xiaozi
contents This work develops an elasto-plastic cell-based smoothed finite element method (CSFEM) for geotechnical analysis. The formulation incorporates a smoothed strain field into the standard elasto-plastic framework based on the Mohr-Coulomb criterion and is implemented in ABAQUS through a user-defined element (UEL). A UEL-UMAT data-transfer strategy is introduced to enable post-processing of stress and strain in ABAQUS. The method is assessed using several benchmark problems, including three classical examples, a tunnel excavation, and a slope stability analysis. The results show that the CSFEM achieves accuracy comparable to or slightly better than the conventional FEM and matches analytical or reference solutions for the examined cases. These findings indicate that the proposed CSFEM provides a practical and robust alternative for routine elasto-plastic analyses in geotechnical engineering.
format Preprint
id arxiv_https___arxiv_org_abs_2510_07687
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Elasto-plastic cell-based smoothed finite element method solving geotechnical problems
Yang, Yang
Yan, Mingjiao
Zhang, Zongliang
Zhang, Miao
Zheng, Feidong
Pan, Dong
Lin, Xiaozi
Numerical Analysis
65N30, 74S05
F.2.2; I.2.7
This work develops an elasto-plastic cell-based smoothed finite element method (CSFEM) for geotechnical analysis. The formulation incorporates a smoothed strain field into the standard elasto-plastic framework based on the Mohr-Coulomb criterion and is implemented in ABAQUS through a user-defined element (UEL). A UEL-UMAT data-transfer strategy is introduced to enable post-processing of stress and strain in ABAQUS. The method is assessed using several benchmark problems, including three classical examples, a tunnel excavation, and a slope stability analysis. The results show that the CSFEM achieves accuracy comparable to or slightly better than the conventional FEM and matches analytical or reference solutions for the examined cases. These findings indicate that the proposed CSFEM provides a practical and robust alternative for routine elasto-plastic analyses in geotechnical engineering.
title Elasto-plastic cell-based smoothed finite element method solving geotechnical problems
topic Numerical Analysis
65N30, 74S05
F.2.2; I.2.7
url https://arxiv.org/abs/2510.07687