| Citation: | YANG Maoqiang，ZHANG Jianghui，WANG Yongwei，et al. Elastoplastic analysis of rock and soil masses based on smooth finite element method[J]. Bulletin of Geological Science and Technology，2025，44（2）：1-10 doi: 10.19509/j.cnki.dzkq.tb20240523
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With the increasing number of large engineering projects, geotechnical limit problems are becoming more common, often leading to extreme model deformation when numerical methods are employed. The traditional finite element method frequently encounters convergence issues, volume locking, and stress misalignment due to severe mesh distortion during the analysis of extreme model deformation, especially when low-order elements are used. Therefore, developing a new method for numerical analysis is of great importance.
The smooth finite element method is an effective approach to address the inherent defects of the traditional finite element method, enhancing both solution accuracy and convergence speed. Thus, based on the smooth finite element method combined with a modified Mohr-Coulomb yield criterion and a linear search optimization algorithm, an elastoplastic calculation model for rock and soil masses is developed in this study.
The classical bearing capacity model for the strip foundation and slope model was tested, and the numerical results align well with the reference solutions. The findings indicate that the calculation accuracy of the smooth finite element method is clearly superior to that of the traditional finite element method, confirming the feasibility and practicality of the proposed algorithm.
In this work, the calculation model developed using the smooth finite element method significantly improves the calculation accuracy for rock and soil elastoplastic problems, while reducing the calculation error and stress misalignment caused by mesh distortion in traditional finite element methods.
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