Damage Ratio Based on Statistical Damage Constitutive Model for Rock

Chen, Ying; Zhang, Lin; Xie, Hui; Liu, Jianfeng; Liu, Hong; Yang, Bohan

doi:10.1155/2019/3065414

Cited by 10 publications

(4 citation statements)

References 21 publications

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“…The increase in the confining pressure leads to the transformation of the rock from brittle failure to ductile failure. Therefore, parameter n can characterize the degree of the brittle failure of rock, and parameter F can be used to characterize the macroscopic strength of rock as the change trend and peak strength of the rock increase with the increase in the confining pressure [40][41][42][43]. With the increase in the confining pressure, the It can be seen that parameter n gradually decreases with the increase in confining pressure in the form of a logistic function, whereas parameter F gradually increases with the increase in the confining pressure in the form of a logistic function.…”

Section: Model Parameter Analysismentioning

confidence: 99%

“…, R 2 = 0.999 (34) where x represents the confining pressure value during the rock test and y represents the value of Weibull distribution parameter F. The increase in the confining pressure leads to the transformation of the rock from brittle failure to ductile failure. Therefore, parameter n can characterize the degree of the brittle failure of rock, and parameter F can be used to characterize the macroscopic strength of rock as the change trend and peak strength of the rock increase with the increase in the confining pressure [40][41][42][43]. With the increase in the confining pressure, the degree of the brittle failure of the rock decreases gradually, and the value of the strength of the rock increases.…”

Section: Model Parameter Analysismentioning

confidence: 99%

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Study of Rock Damage Constitutive Model Considering Temperature Effect Based on Weibull Distribution

Lu,

Wu,

Yin

et al. 2024

Applied Sciences

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The deformation and damage process of rocks is accompanied by crack extension and penetration. The rock strength criterion, as a macroscopic characterization of the rock strength microelement, is the basis for establishing the damage constitutive modeling of rock. Aiming at the problem of the Hoek–Brown (H–B) strength criterion having a large strength prediction value under high confining pressure, the H–B strength criterion is corrected by considering the influence of the initial cracks on the development of the rock strength, and its applicability is verified. Based on the damage theory, assuming that the rock strength microelement obeys the Weibull distribution and considering the influence of residual strength, the damage correction coefficient is introduced, and a thermal damage statistical constitutive model that can reflect the whole process of the development of initial cracks inside the rock is established. The degree of penetration up to the damage is established, and the method of determining the parameters of the model is given. The theoretical curves of the established model are compared and analyzed with the curves of a conventional triaxial compression test of rock samples, and the study shows that the statistical constitutive model of the thermal damage of rock, established based on the modified H–B strength criterion, can better simulate the stress–strain relationship of rock under a conventional triaxial test. It also verifies the reasonableness and applicability of the model, which is expected to provide a basis for the exploitation of deep resources and the safety assessment of underground engineering.

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Section: Model Parameter Analysismentioning

confidence: 99%

Section: Model Parameter Analysismentioning

confidence: 99%

Study of Rock Damage Constitutive Model Considering Temperature Effect Based on Weibull Distribution

Lu,

Wu,

Yin

et al. 2024

Applied Sciences

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show abstract

“…e determination of the damage variable is the key to establishing a damage constitutive model. According to continuum damage mechanics, the damage variable D can be defined in a variety of ways, such as the axial strain of the rock specimen and the area of the microelements [19,20]. e article uses the second method to define the damage variable.…”

Section: Establishment Of Damage Constitutive Modelmentioning

confidence: 99%

Study of Damage Constitutive Model of Brittle Rocks considering Stress Dropping Characteristics

You

et al. 2020

Advances in Civil Engineering

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Deep brittle rock exhibits characteristics of rapid stress dropping rate and large stress dropping degree after peak failure. To simulate the whole process of deformation and failure of the deep brittle rock under load, the Lemaitre strain equivalent theory is modified to make the damaged part of the rock has residual stress. Based on the damage constitutive model considering residual strength characteristics, a correction factor reflecting stress dropping rate is added, the Weibull distribution is used to describe the inhomogeneity of rock materials, and Drucker–Prager criterion is used to quantitatively describe the influence of stress on damage; a damage constitutive model of deep brittle rock considering stress dropping characteristics is established. According to the geometric features of the rock stress-strain curve, the theoretical expressions of model parameters are derived. To verify the rationality of the model, triaxial compression experiments of deep brittle rock under different confining pressures are conducted. And the influence of model parameters on rock mechanical behaviour is analysed. The results show that the model reflects the stress dropping characteristics of deep brittle rock and the theoretical curve is in good agreement with the experimental results, which indicates that the proposed constitutive model is scientific and feasible.

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“…Cao [ 39 ] and Zhu [ 40 ] used the Mohr–Coulomb criterion as the strength function to establish a statistical damage model. Chen [ 41 ] and Zhao [ 42 ] selected the Drucker–Prager strength criterion as the micro-strength function to create a statistical damage model for rock. Jiang et al [ 43 ] and Cao et al [ 44 ] established a statistical damage constitutive model that considers post-peak brittle drop and strain softening respectively.…”

Section: Introductionmentioning

confidence: 99%

A Study of Strength Parameter Evolution and a Statistical Damage Constitutive Model of Cemented Sand and Gravel

et al. 2023

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Cemented sand and gravel (CSG) has a wide range of applications in dam construction, and its properties are between rockfill and roller compacted concrete (RCC). A difference in gel content will result in a variance in CSG’s structure and mechanical properties. To investigate the intricate structural mechanical properties of CSG, this study conducted a series of laboratory tests and associated discrete element analyses. Accordingly, the evolution law of the strength parameters of CSG is explored and a statistical damage constitutive model suitable for CSG is established. The main contributions of this study are as follows: (1) The failure mechanism of the CSG was described from the microscopic level, and the evolution law of the strength parameter cohesion and friction angle of the CSG was analyzed and summarized. (2) Based on the particle flow model, the energy development law and the spatiotemporal distribution law of acoustic emission (AE) provide illustrations of the strain hardening–softening transition features and the interaction between cohesion and friction of CSG. (3) The evolution function between the strength parameter and the strain softening parameter was built, and the critical strain softening parameter was determined by the microcrack evolution law of the particle flow model. (4) The accuracy of the evolution curve was confirmed by comparing it to experimental results. (5) Based on the relationship between cohesion loss and material damage, a statistical damage constitutive model was developed using the improved Mohr–Coulomb strength criterion as the micro strength function. The constitutive model can accurately describe the stress–strain curves of CSG with different gel content. Furthermore, the model reflects the strain hardening–softening properties of CSG and reveals the relationship between the weakening of cohesion and material damage at the microscopic level. These findings provide valuable guidelines for investigating the damage laws and microcosmic failure features of CSG and other relevant materials.

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Damage Ratio Based on Statistical Damage Constitutive Model for Rock

Cited by 10 publications

References 21 publications

Study of Rock Damage Constitutive Model Considering Temperature Effect Based on Weibull Distribution

Study of Rock Damage Constitutive Model Considering Temperature Effect Based on Weibull Distribution

Study of Damage Constitutive Model of Brittle Rocks considering Stress Dropping Characteristics

A Study of Strength Parameter Evolution and a Statistical Damage Constitutive Model of Cemented Sand and Gravel

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