With the increase of multi-scale simulation demand, the theory of statistical mesoscopic damage and damage pattern has been widely used to simulate the progressive failure process of brittle rock, which is of great significance to reveal the complex failure mechanism of rock and evaluate the geological risk. In this paper, by using the traditional commercial finite element analysis system Abaqus, the statistical meso-damage theory is introduced to study the failure process of rock under uniaxial compression. The study considers that the elastic modulus, tensile strength and uniaxial compressive strength of mesoscopic elements obey the Weibull distribution, which can be used to characterize the heterogeneity and natural defects of rock. The maximum tensile stress criterion and the modified Mohr-Coulomb criterion are used to determine the tensile failure and shear failure of the mesoscopic elements, respectively. Based on the numerical simulation, it is found that the heterogeneity of the mechanics parameters of rock has a significant influence on the stress field distribution and the macroscopic failure characteristics of rock. Moreover, the damage patterns show that the meso-elements of rock are mainly tensile failure, while the shear failure of the elements is very small. The results indicate that the macroscopic shear band of the rock is mainly caused by the meso-tensile failure of the mesoscopic elements. The equivalent peak strength, elastic modulus and failure mode of the meso-numerical simulations are in good agreement with the physical experimental. The study highlights that it is more reliable and true to understand the failure process of rock by using the theory of statistical mesoscopic damage, and the new algorithm simulator can be used to simulate the trans-scale failure process of rock.

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