Statistical Damage Model of Altered Granite under Dry-Wet Cycles

Chen, Xuxin; He, Ping; Qin, Zhe; Li, Jianye; Gong, Yanping

doi:10.3390/sym11010041

Cited by 18 publications

(7 citation statements)

References 22 publications

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“…It is a reasonable and effective way to describe the strength of rock micro units with statistical functions. At present, the commonly used distribution types in rock statistical damage constitutive models mainly include Weibull distribution, normal distribution [31], power function distribution, lognormal distribution, etc. According to the literature [32,33], the Weibull probability distribution function has the characteristics of peak effect and simple integral calculation, which can better describe the process of rock deformation and failure.…”

Section: Damage Variable and Statistical Distribution Functionmentioning

confidence: 99%

Statistical Damage Model of Rock Structural Plane Considering Void Compaction and Failure Modes

Zhang

et al. 2022

Symmetry

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The shear behavior of rock structural planes contains various symmetry laws, and the shear failure can be considered as an asymmetric state of the rock and rock mass. The study of shear deformation and the failure of rock structural planes plays a vital role in ensuring the safety and stability of engineered rock masses. In view of the inability of traditional shear constitutive models to describe the non-linear characteristics of the dilatancy stage and the single applicable failure form, firstly, we discuss, in depth, the law and mechanism of shear deformation and failure of structural planes, and introduce the compaction index α to measure the non-linear characteristics of shear stress–shear displacement caused by compaction of microcracks and internal pores of structural planes, and the structural plane damage model, considering the void compaction and failure mode, was established. Then, the statistical damage theory was introduced, and the strength and failure of the microunits of the rock structural plane were assumed to obey the Weibull distribution. Based on the Mohr-Coulomb strength criterion to measure the strength of the microunits of the rock structure surface, a statistical damage model of structural planes, which can describe void compaction and failure modes, was established. Finally, a comparative analysis was carried out with the test curve, and the results showed that: the calculation curve of the structural plane statistical damage model established, considering the void compaction and failure modes, has the same trend as the structural plane shear test curve, which can better describe the shear stress– shear displacement at the dilatancy stage, as well as the shearing stage and sliding stage in different failure modes. The changing law of shear displacement reflects the rationality and accuracy of the constructed constitutive model. The research results can provide a theoretical basis for the shear deformation and failure of rock structural planes.

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Section: Damage Variable and Statistical Distribution Functionmentioning

confidence: 99%

Statistical Damage Model of Rock Structural Plane Considering Void Compaction and Failure Modes

Zhang

et al. 2022

Symmetry

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“…However, research that comprehensively considers both initial state damage and forceinduced damage in rocks is limited. Currently, statistical descriptions of damage laws in statistical damage mechanics mainly use distributions such as Weibull and normal distributions (Chen et al, 2019), with Weibull distribution being the most widely applied (Sun et al, 2023).…”

Section: Introductionmentioning

confidence: 99%

Deterioration Mechanism and Statistical Damage Constitutive Model of Red-Bed Soft Rock with Different Moisture Contents

Wang

Zhang

et al. 2023

Preprint

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The mechanical properties of red-bed soft rock, widely encountered in the Central Yunnan Water Diversion Project, deteriorate significantly upon contact with water, impacting the safety of the project. The objective of this paper is to investigate the effects of moisture content on the mechanical properties of red-bed soft rock by conducting triaxial compression tests under varying confining pressure. Degradation mechanisms associated with distinct moisture content levels are determined. Deformation and deterioration mechanisms are investigated from the mineral compositions using X-ray diffraction. Modification of the Drucker-Prager criterion is studied to incorporate the Lode parameter. Utilizing the Weibull distribution, this study establishes a statistical damage constitutive model for red-bed soft rock. The triaxial compression test results of red-bed soft rock are used for the purpose of model validation. It is demonstrated that there is a strong concurrence between the theoretical model and empirical findings, indicating its suitability for analyzing the mechanical behavior of red-bed soft rock under varying moisture content. Findings in this paper can provide valuable insights into the investigation of large deformation occurring in surrounding red-bed soft rocks within the context of Central Yunnan Water Diversion Project.

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“…The second part is the distribution characteristics of the rock microelement strength. The distribution functions commonly used in existing research are the normal distribution (Bozorgzadeh et al., 2018; Cao et al., 2005; Chen et al., 2019; Gill et al., 2005), lognormal distribution (Chen, 2020), maximum entropy distribution (Deng and Gu, 2011; Hu et al., 2020), power function distribution (Bashkirov and Vityazev, 1996; Chen et al., 2018; Song et al., 2022), and Weibull distribution, which is more widely used (Krajcinovic and Silva, 1982; Li et al., 2019; Shariati et al., 2022; Wang et al., 2007; Wang and Ma, 2021; Xie et al., 2020; Zhang et al., 2022; Zhu et al., 2021). The last part is the measurement of the rock microelement strength.…”

Section: Introductionmentioning

confidence: 99%

A novel meso-damage constitutive model of rock under true triaxial stress with three-dimensional cracking strength, threshold and closure effect

Zheng,

Zhou,

et al. 2023

International Journal of Damage Mechanics

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Deep underground engineering is in a true three-dimensional stress state, and the adjustment of the three-dimensional stress state caused by engineering excavation will induce the fracture or even instability of the surrounding rock. However, three-dimensional mechanical model research suitable for the stability analysis of deep surrounding rock is very scarce. Therefore, a series of tests under different true triaxial stresses on two rocks (rhyodacite and marble) were conducted, and the characteristic strength (crack stable propagation initiation stress, crack unstable propagation initiation stress and peak strength) and deformation characteristics were further analyzed. After that, using the Lemaitre strain equivalence hypothesis and rock statistical damage theory, a new statistical damage constitutive model at true triaxial stress states was proposed, which introduced the three-dimensional strength criterion Modified Wiebols Cook to characterize the three-dimensional strength of the rock microelement. Therefore, the intermediate principal stress can be reasonably considered. The damage threshold, initial compaction effect and residual strength of the rock microelement at different true triaxial stress conditions were also considered. Then the relationships between the proposed model parameters and σ2 and σ3 were analyzed. Furthermore, sensitivity analysis of the influence of parameters m and F0 in proposed model on the shape of rock stress–strain curve and peak strength was also investigated. The comparison between the results predicted by proposed model and the experimental data shows that the new model established in this study can well simulate the prepeak and postpeak deformation characteristics of rock and the intermediate principal stress effect under true triaxial stress conditions.

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Statistical Damage Model of Altered Granite under Dry-Wet Cycles

Cited by 18 publications

References 22 publications

Statistical Damage Model of Rock Structural Plane Considering Void Compaction and Failure Modes

Statistical Damage Model of Rock Structural Plane Considering Void Compaction and Failure Modes

Deterioration Mechanism and Statistical Damage Constitutive Model of Red-Bed Soft Rock with Different Moisture Contents

A novel meso-damage constitutive model of rock under true triaxial stress with three-dimensional cracking strength, threshold and closure effect

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