Validation of a damage constitutive model based on logistic model dedicated to the mechanical behavior of the rock
Abstract The establishment of mechanical models of rocks can provide crucial guidance to the surrounding rocks stability analysis in the rock engineering. According to statistical damage theory and Mohr–Coulomb strength criterion, the Logistic model is used to yield the damage evolution equation and...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer
2024-01-01
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| Series: | Geomechanics and Geophysics for Geo-Energy and Geo-Resources |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/s40948-023-00727-9 |
| _version_ | 1797355445281619968 |
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| author | Kai Chen Roberto Cudmani Andres Alfonso Pena Olarte |
| author_facet | Kai Chen Roberto Cudmani Andres Alfonso Pena Olarte |
| author_sort | Kai Chen |
| collection | DOAJ |
| description | Abstract The establishment of mechanical models of rocks can provide crucial guidance to the surrounding rocks stability analysis in the rock engineering. According to statistical damage theory and Mohr–Coulomb strength criterion, the Logistic model is used to yield the damage evolution equation and further establish statistical damage constitutive model for describing the whole failure process of rocks. Then, the rationality of the proposed damage model is proved by comparing with the different test curves, and damage evolution laws are summarized into four stages, including: slow-growth stage, rapid-growth stage, constant-speed-similar growth stage and speed-reducing growth stage. Physical meanings of model parameters $${r}{\prime}$$ r ′ and $$m$$ m are also discussed. Finally, to verify the application of this proposed model, this damage constitutive model is developed and implemented to simulate the tunnel excavation and analyze the stability of surrounding rocks by using Fortran, python and Abaqus. The displacement data on site is used to prove the superiority of proposed damage constitutive model compared with the existing ones in Abaqus. The research outcomes presented in this paper can also provide useful references for the theory and application of rock mechanics. |
| first_indexed | 2024-03-08T14:11:21Z |
| format | Article |
| id | doaj.art-8d56906c1e3d4871aad3d19a8cd36507 |
| institution | Directory Open Access Journal |
| issn | 2363-8419 2363-8427 |
| language | English |
| last_indexed | 2024-03-08T14:11:21Z |
| publishDate | 2024-01-01 |
| publisher | Springer |
| record_format | Article |
| series | Geomechanics and Geophysics for Geo-Energy and Geo-Resources |
| spelling | doaj.art-8d56906c1e3d4871aad3d19a8cd365072024-01-14T12:42:23ZengSpringerGeomechanics and Geophysics for Geo-Energy and Geo-Resources2363-84192363-84272024-01-0110112010.1007/s40948-023-00727-9Validation of a damage constitutive model based on logistic model dedicated to the mechanical behavior of the rockKai Chen0Roberto Cudmani1Andres Alfonso Pena Olarte2Department of Civil and Environmental Engineering, School of Engineering and Design, Technical University of MunichDepartment of Civil and Environmental Engineering, School of Engineering and Design, Technical University of MunichDepartment of Civil and Environmental Engineering, School of Engineering and Design, Technical University of MunichAbstract The establishment of mechanical models of rocks can provide crucial guidance to the surrounding rocks stability analysis in the rock engineering. According to statistical damage theory and Mohr–Coulomb strength criterion, the Logistic model is used to yield the damage evolution equation and further establish statistical damage constitutive model for describing the whole failure process of rocks. Then, the rationality of the proposed damage model is proved by comparing with the different test curves, and damage evolution laws are summarized into four stages, including: slow-growth stage, rapid-growth stage, constant-speed-similar growth stage and speed-reducing growth stage. Physical meanings of model parameters $${r}{\prime}$$ r ′ and $$m$$ m are also discussed. Finally, to verify the application of this proposed model, this damage constitutive model is developed and implemented to simulate the tunnel excavation and analyze the stability of surrounding rocks by using Fortran, python and Abaqus. The displacement data on site is used to prove the superiority of proposed damage constitutive model compared with the existing ones in Abaqus. The research outcomes presented in this paper can also provide useful references for the theory and application of rock mechanics.https://doi.org/10.1007/s40948-023-00727-9RocksDamage mechanicsDamage constitutive modelLogistic modelApplication of constitutive model |
| spellingShingle | Kai Chen Roberto Cudmani Andres Alfonso Pena Olarte Validation of a damage constitutive model based on logistic model dedicated to the mechanical behavior of the rock Geomechanics and Geophysics for Geo-Energy and Geo-Resources Rocks Damage mechanics Damage constitutive model Logistic model Application of constitutive model |
| title | Validation of a damage constitutive model based on logistic model dedicated to the mechanical behavior of the rock |
| title_full | Validation of a damage constitutive model based on logistic model dedicated to the mechanical behavior of the rock |
| title_fullStr | Validation of a damage constitutive model based on logistic model dedicated to the mechanical behavior of the rock |
| title_full_unstemmed | Validation of a damage constitutive model based on logistic model dedicated to the mechanical behavior of the rock |
| title_short | Validation of a damage constitutive model based on logistic model dedicated to the mechanical behavior of the rock |
| title_sort | validation of a damage constitutive model based on logistic model dedicated to the mechanical behavior of the rock |
| topic | Rocks Damage mechanics Damage constitutive model Logistic model Application of constitutive model |
| url | https://doi.org/10.1007/s40948-023-00727-9 |
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