Abstract

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.

Highlights

  • The current demand for resources and space is gradually increasing with the development of the economy

  • On the basis of summarizing the shear deformation laws of existing structural planes, this paper uses statistical damage theory to assume that the strength and failure of the micro units of rock structural planes obey the Weibull distribution, and the Mohr-Coulomb strength criterion is used to measure the microstructure of rock structural planes

  • The above is the whole process of establishing the statistical damage constitutive model and parameter determination in this paper, considering the void compaction and failure modes, which can be determined according to the characteristic value points such as the yield point and the peak point of the test curve

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Summary

Introduction

The current demand for resources and space is gradually increasing with the development of the economy. On the basis of summarizing the shear deformation laws of existing structural planes, this paper uses statistical damage theory to assume that the strength and failure of the micro units of rock structural planes obey the Weibull distribution, and the Mohr-Coulomb strength criterion is used to measure the microstructure of rock structural planes. For elements’ strength, the compaction index was introduced to measure the nonlinear characteristics caused by microcracks and rock pores in the rock structure’s surface, and combined with the dual characteristics of shear fracture and shear slip; using these, the statistics damage model of rock structural planes, considering void compaction and failure mode was established. The shear damage evolution equation was used to describe the rock microscopic damage evolution and macro-mechanical performance response, which provides a theoretical reference for the study of rock structural plane shear damage

Analysis of Shear Deformation Mechanism of Structural Plane
Establishment of the Shear Damage Model of Structural Planes
Damage Variable and Statistical Distribution Function
The Representation of Micro Units’ Strength
Statistical Damage Model and Parameter Determination
Model Verification and Analysis
Conclusions

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