Analysis of Shear Constitutive Models of the Slip Zone Soil Based on Various Statistical Damage Distributions
The shear constitutive model of the slip zone soil can be used to quantitatively describe the relationship between shear stress and shear displacement, which is of great significance for the analysis of deformation mechanism and stability evaluation of landslides. The conventional shear constitutive...
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MDPI AG
2022-03-01
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| author | Yinfeng Luo Zongxing Zou Changdong Li Haojie Duan Nang Mon Mon Thaw Bocheng Zhang Bingdong Ding Junrong Zhang |
| author_facet | Yinfeng Luo Zongxing Zou Changdong Li Haojie Duan Nang Mon Mon Thaw Bocheng Zhang Bingdong Ding Junrong Zhang |
| author_sort | Yinfeng Luo |
| collection | DOAJ |
| description | The shear constitutive model of the slip zone soil can be used to quantitatively describe the relationship between shear stress and shear displacement, which is of great significance for the analysis of deformation mechanism and stability evaluation of landslides. The conventional shear constitutive models were usually proposed based on statistical damage theory with the Weibull distribution function, which is widely used in the field of rock material. However, there are great differences in the structure and mechanical properties of soil and rock; therefore, the suitability of the damage distribution functions for the slip zone soil needs to be further investigated. In this study, eight distribution functions are introduced to describe the damage evolution process of the slip zone soil and applied to two groups of shear stress–shear displacement curves (named shear curves) with different softening characteristics, i.e., strong softening type and weak softening type. The results show that: (1) the applicability of the various damage distribution functions to the two softening types of shear curves is obviously different; (2) the commonly used Weibull distribution is only suitable for the weak softening shear curves; (3) the shear constitutive models based on Gamma, Exponential, and Logistic distributions are the best three models for the strong softening curve; the shear constitutive models based on Gamma, Weibull, and Exponential distributions are the best three models for the weak softening curve; (4) Gamma distribution function is the optimal model in both strong softening and weak softening types of shear curves, and the parameters of the function have clear physical meaning in the shear constitutive model. In general, the Gamma distribution function can more objectively reflect the whole shear damage evolution process of the slip zone soil than other distribution functions. |
| first_indexed | 2024-03-09T12:07:41Z |
| format | Article |
| id | doaj.art-70d0c42fcd6d462ead9039d967f99321 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-09T12:07:41Z |
| publishDate | 2022-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-70d0c42fcd6d462ead9039d967f993212023-11-30T22:56:28ZengMDPI AGApplied Sciences2076-34172022-03-01127349310.3390/app12073493Analysis of Shear Constitutive Models of the Slip Zone Soil Based on Various Statistical Damage DistributionsYinfeng Luo0Zongxing Zou1Changdong Li2Haojie Duan3Nang Mon Mon Thaw4Bocheng Zhang5Bingdong Ding6Junrong Zhang7Badong National Observation and Research Station of Geohazards, China University of Geosciences, Wuhan 430074, ChinaBadong National Observation and Research Station of Geohazards, China University of Geosciences, Wuhan 430074, ChinaSchool of Engineering, China University of Geosciences, Wuhan 430074, ChinaBadong National Observation and Research Station of Geohazards, China University of Geosciences, Wuhan 430074, ChinaSchool of Engineering, China University of Geosciences, Wuhan 430074, ChinaSchool of Engineering, China University of Geosciences, Wuhan 430074, ChinaSchool of Engineering, China University of Geosciences, Wuhan 430074, ChinaSchool of Engineering, China University of Geosciences, Wuhan 430074, ChinaThe shear constitutive model of the slip zone soil can be used to quantitatively describe the relationship between shear stress and shear displacement, which is of great significance for the analysis of deformation mechanism and stability evaluation of landslides. The conventional shear constitutive models were usually proposed based on statistical damage theory with the Weibull distribution function, which is widely used in the field of rock material. However, there are great differences in the structure and mechanical properties of soil and rock; therefore, the suitability of the damage distribution functions for the slip zone soil needs to be further investigated. In this study, eight distribution functions are introduced to describe the damage evolution process of the slip zone soil and applied to two groups of shear stress–shear displacement curves (named shear curves) with different softening characteristics, i.e., strong softening type and weak softening type. The results show that: (1) the applicability of the various damage distribution functions to the two softening types of shear curves is obviously different; (2) the commonly used Weibull distribution is only suitable for the weak softening shear curves; (3) the shear constitutive models based on Gamma, Exponential, and Logistic distributions are the best three models for the strong softening curve; the shear constitutive models based on Gamma, Weibull, and Exponential distributions are the best three models for the weak softening curve; (4) Gamma distribution function is the optimal model in both strong softening and weak softening types of shear curves, and the parameters of the function have clear physical meaning in the shear constitutive model. In general, the Gamma distribution function can more objectively reflect the whole shear damage evolution process of the slip zone soil than other distribution functions.https://www.mdpi.com/2076-3417/12/7/3493landslidestatistical damagestrain softeningsliding zone soilring shear test |
| spellingShingle | Yinfeng Luo Zongxing Zou Changdong Li Haojie Duan Nang Mon Mon Thaw Bocheng Zhang Bingdong Ding Junrong Zhang Analysis of Shear Constitutive Models of the Slip Zone Soil Based on Various Statistical Damage Distributions Applied Sciences landslide statistical damage strain softening sliding zone soil ring shear test |
| title | Analysis of Shear Constitutive Models of the Slip Zone Soil Based on Various Statistical Damage Distributions |
| title_full | Analysis of Shear Constitutive Models of the Slip Zone Soil Based on Various Statistical Damage Distributions |
| title_fullStr | Analysis of Shear Constitutive Models of the Slip Zone Soil Based on Various Statistical Damage Distributions |
| title_full_unstemmed | Analysis of Shear Constitutive Models of the Slip Zone Soil Based on Various Statistical Damage Distributions |
| title_short | Analysis of Shear Constitutive Models of the Slip Zone Soil Based on Various Statistical Damage Distributions |
| title_sort | analysis of shear constitutive models of the slip zone soil based on various statistical damage distributions |
| topic | landslide statistical damage strain softening sliding zone soil ring shear test |
| url | https://www.mdpi.com/2076-3417/12/7/3493 |
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