A Three-Dimensional Elastoplastic Constitutive Model for Geomaterials
The Mohr-Coulomb (M-C) failure criterion has been a popular choice for geotechnical analysis because of its simplicity and ease of use. The fact that the M-C criterion disregards the intermediate principal stress’s impact is a significant drawback. As a result, the M-C criterion is only applied to m...
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| Format: | Article |
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MDPI AG
2023-05-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/13/9/5746 |
| _version_ | 1797602901730787328 |
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| author | Dongshuai Tian Hong Zheng |
| author_facet | Dongshuai Tian Hong Zheng |
| author_sort | Dongshuai Tian |
| collection | DOAJ |
| description | The Mohr-Coulomb (M-C) failure criterion has been a popular choice for geotechnical analysis because of its simplicity and ease of use. The fact that the M-C criterion disregards the intermediate principal stress’s impact is a significant drawback. As a result, the M-C criterion is only applied to materials under biaxial stress. This paper presents a three-dimensional version of the M-C criterion. The proposed criterion, called the Generalized Mohr-Coulomb (GMC) criterion, considers the intermediate principal stress’s effect, in addition to inheriting the original M-C criterion’s benefits. We obtained the conditions that the strength parameters must satisfy when the GMC criterion fulfills the π plane’s convexity. The GMC criterion can better describe geotechnical materials’ strengths under general stress conditions. Based on an implicit algorithm, the user material subroutine (UMAT) of the three-dimensional GMC model was developed in ABAQUS using the Fortran programming language. The established elastoplastic model’s validity and the program’s accuracy were examined using numerical simulation. Finally, a numerical simulation of a three-dimensional tunnel excavation under various working conditions was performed. The calculation results from the GMC model are precise and have some engineering-related practical significance. |
| first_indexed | 2024-03-11T04:23:04Z |
| format | Article |
| id | doaj.art-4089e4973f2249489311b2d055e9668f |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-11T04:23:04Z |
| publishDate | 2023-05-01 |
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| spelling | doaj.art-4089e4973f2249489311b2d055e9668f2023-11-17T22:38:13ZengMDPI AGApplied Sciences2076-34172023-05-01139574610.3390/app13095746A Three-Dimensional Elastoplastic Constitutive Model for GeomaterialsDongshuai Tian0Hong Zheng1Key Laboratory of Urban Security and Disaster Engineering, Ministry of Education, Beijing University of Technology, Beijing 100124, ChinaKey Laboratory of Urban Security and Disaster Engineering, Ministry of Education, Beijing University of Technology, Beijing 100124, ChinaThe Mohr-Coulomb (M-C) failure criterion has been a popular choice for geotechnical analysis because of its simplicity and ease of use. The fact that the M-C criterion disregards the intermediate principal stress’s impact is a significant drawback. As a result, the M-C criterion is only applied to materials under biaxial stress. This paper presents a three-dimensional version of the M-C criterion. The proposed criterion, called the Generalized Mohr-Coulomb (GMC) criterion, considers the intermediate principal stress’s effect, in addition to inheriting the original M-C criterion’s benefits. We obtained the conditions that the strength parameters must satisfy when the GMC criterion fulfills the π plane’s convexity. The GMC criterion can better describe geotechnical materials’ strengths under general stress conditions. Based on an implicit algorithm, the user material subroutine (UMAT) of the three-dimensional GMC model was developed in ABAQUS using the Fortran programming language. The established elastoplastic model’s validity and the program’s accuracy were examined using numerical simulation. Finally, a numerical simulation of a three-dimensional tunnel excavation under various working conditions was performed. The calculation results from the GMC model are precise and have some engineering-related practical significance.https://www.mdpi.com/2076-3417/13/9/5746generalized Mohr-Coulomb criterionUMAT secondary developmentGSPCconstitutive integral |
| spellingShingle | Dongshuai Tian Hong Zheng A Three-Dimensional Elastoplastic Constitutive Model for Geomaterials Applied Sciences generalized Mohr-Coulomb criterion UMAT secondary development GSPC constitutive integral |
| title | A Three-Dimensional Elastoplastic Constitutive Model for Geomaterials |
| title_full | A Three-Dimensional Elastoplastic Constitutive Model for Geomaterials |
| title_fullStr | A Three-Dimensional Elastoplastic Constitutive Model for Geomaterials |
| title_full_unstemmed | A Three-Dimensional Elastoplastic Constitutive Model for Geomaterials |
| title_short | A Three-Dimensional Elastoplastic Constitutive Model for Geomaterials |
| title_sort | three dimensional elastoplastic constitutive model for geomaterials |
| topic | generalized Mohr-Coulomb criterion UMAT secondary development GSPC constitutive integral |
| url | https://www.mdpi.com/2076-3417/13/9/5746 |
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