Numerical Simulation of Flexural Deformation Through an Integrated Cosserat Expanded Constitutive Model and the Drucker–Prager Criterion
In this article, we propose a new numerical approach, abbreviated as Cos-SDA, for analyzing flexural deformation problems of geomaterials. The Cos-SDA is achieved by implanting the strong discontinuity approach (SDA) into the computational framework of the Cosserat continuum finite element approach...
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2025-03-01
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| author | Naining Bai Jiancheng Zhang Zikang Jia Xueguo Jiang Xinping Gong |
| author_facet | Naining Bai Jiancheng Zhang Zikang Jia Xueguo Jiang Xinping Gong |
| author_sort | Naining Bai |
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| description | In this article, we propose a new numerical approach, abbreviated as Cos-SDA, for analyzing flexural deformation problems of geomaterials. The Cos-SDA is achieved by implanting the strong discontinuity approach (SDA) into the computational framework of the Cosserat continuum finite element approach (Cos-FEA). Most of the Cos-FEA is based on the Mohr–Coulomb (M-C) criterion at present. However, the M-C yield surface is not smooth because of hexagonal corners, which can cause numerical difficulties in the Cos-FEA. The Drucker–Prager (D-P) criterion can be viewed as a smooth approximation to the M-C criterion. Meanwhile, the M-C criterion does not take into account the influence of the intermediate principal stress on strength, but D-P criterion is able to reflect the combined effect of the three principal stresses. Therefore, based on the MATLAB system, an improved three-dimensional (3D) Cos-FEA is proposed by using the D-P criterion. Through a numerical example of three-dimensional flexural deformation analysis of an excavation in layered rock, it is demonstrated that the improved Cos-FEA can effectively simulate flexural deformation and the entire progressive failure process. The improved Cos-FEA inherits the advantages of both the Cos-FEA and D-P criterion and neutralizes their mechanical responses, so it is more reasonable in simulating the progressive failure process occurring in an alternating rock mass. Most importantly, the D-P criterion-based Cos-FEA is observed to have a higher convergence speed and stability. |
| format | Article |
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| publishDate | 2025-03-01 |
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| spelling | doaj-art-68424922f24e488e9ddbcf989fb6a2d22025-08-20T02:17:00ZengMDPI AGApplied Sciences2076-34172025-03-01157360410.3390/app15073604Numerical Simulation of Flexural Deformation Through an Integrated Cosserat Expanded Constitutive Model and the Drucker–Prager CriterionNaining Bai0Jiancheng Zhang1Zikang Jia2Xueguo Jiang3Xinping Gong4Suzhou Institute of Technology, Jiangsu University of Science and Technology, Zhangjiagang 215600, ChinaSchool of Naval Architecture and Civil Engineering, Jiangsu University of Science and Technology, Zhangjiagang 215600, ChinaSchool of Civil Engineering and Architecture, Jiangsu University of Science and Technology, Zhenjiang 212100, ChinaSchool of Civil Engineering and Architecture, Jiangsu University of Science and Technology, Zhenjiang 212100, ChinaSuzhou Institute of Technology, Jiangsu University of Science and Technology, Zhangjiagang 215600, ChinaIn this article, we propose a new numerical approach, abbreviated as Cos-SDA, for analyzing flexural deformation problems of geomaterials. The Cos-SDA is achieved by implanting the strong discontinuity approach (SDA) into the computational framework of the Cosserat continuum finite element approach (Cos-FEA). Most of the Cos-FEA is based on the Mohr–Coulomb (M-C) criterion at present. However, the M-C yield surface is not smooth because of hexagonal corners, which can cause numerical difficulties in the Cos-FEA. The Drucker–Prager (D-P) criterion can be viewed as a smooth approximation to the M-C criterion. Meanwhile, the M-C criterion does not take into account the influence of the intermediate principal stress on strength, but D-P criterion is able to reflect the combined effect of the three principal stresses. Therefore, based on the MATLAB system, an improved three-dimensional (3D) Cos-FEA is proposed by using the D-P criterion. Through a numerical example of three-dimensional flexural deformation analysis of an excavation in layered rock, it is demonstrated that the improved Cos-FEA can effectively simulate flexural deformation and the entire progressive failure process. The improved Cos-FEA inherits the advantages of both the Cos-FEA and D-P criterion and neutralizes their mechanical responses, so it is more reasonable in simulating the progressive failure process occurring in an alternating rock mass. Most importantly, the D-P criterion-based Cos-FEA is observed to have a higher convergence speed and stability.https://www.mdpi.com/2076-3417/15/7/3604Cosserat continuum finite element approach (Cos-FEA)Mohr–Coulomb (M-C) criterionDrucker–Prager (D-P) criterionMATLABflexural deformation |
| spellingShingle | Naining Bai Jiancheng Zhang Zikang Jia Xueguo Jiang Xinping Gong Numerical Simulation of Flexural Deformation Through an Integrated Cosserat Expanded Constitutive Model and the Drucker–Prager Criterion Applied Sciences Cosserat continuum finite element approach (Cos-FEA) Mohr–Coulomb (M-C) criterion Drucker–Prager (D-P) criterion MATLAB flexural deformation |
| title | Numerical Simulation of Flexural Deformation Through an Integrated Cosserat Expanded Constitutive Model and the Drucker–Prager Criterion |
| title_full | Numerical Simulation of Flexural Deformation Through an Integrated Cosserat Expanded Constitutive Model and the Drucker–Prager Criterion |
| title_fullStr | Numerical Simulation of Flexural Deformation Through an Integrated Cosserat Expanded Constitutive Model and the Drucker–Prager Criterion |
| title_full_unstemmed | Numerical Simulation of Flexural Deformation Through an Integrated Cosserat Expanded Constitutive Model and the Drucker–Prager Criterion |
| title_short | Numerical Simulation of Flexural Deformation Through an Integrated Cosserat Expanded Constitutive Model and the Drucker–Prager Criterion |
| title_sort | numerical simulation of flexural deformation through an integrated cosserat expanded constitutive model and the drucker prager criterion |
| topic | Cosserat continuum finite element approach (Cos-FEA) Mohr–Coulomb (M-C) criterion Drucker–Prager (D-P) criterion MATLAB flexural deformation |
| url | https://www.mdpi.com/2076-3417/15/7/3604 |
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