Research on crack propagation and damage evolution of rock based on the unified phase-field theory
XIANG Fubin1，ZHAO Cheng1，2，XING Jinquan1
(1. Department of Geotechnical Engineering，Tongji University，Shanghai 200092，China；2. Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education，Tongji University，Shanghai 200092，China)
Abstract：Based on the unified phase field model, the mechanism of crack propagation and damage evolution of rock materials is analyzed. A numerical uniaxial compression test of high-strength gypsum is conducted，and combined with the DIC test results，the analysis presents the following facts. First，the crack propagation of a single crack rock sample is the result of the continuous accumulation of damage caused by the concentration of stress in rock. Second，a threshold value of crack driving force at crack initiation exists，which is related to the rock material，and can be used to evaluate the difficulty of rock crack initiation. Third，the curve of crack width and length has a high correlation with the rock failure process，so the rock failure can be divided into four stages：elasticity，crack initiation，macro crack occurrence，crack propagation and penetration. Fourth，the failure type of rock gradually changes from tensile failure，which is dominated by tensile crack，to shear failure，which is dominated by shear crack with the increase of crack dip angle. Fifth，the smaller the angle between the crack and the loading direction，the closer the crack initiation position is to the compressive stress concentration area at the end of the rock precast crack，resulting in the stronger restriction of the crack driving force，and the greater the load is required to reach the threshold of crack initiation，which explains the phenomenon that the rock microcrack with large crack inclination develops more fully and the crack length curve is smoother from the mechanism. Last，the crack propagation path of the double crack rock sample is restricted by the surrounding stress field，and whether the rock bridge area has through failure depends on the stress type of the rock bridge area. In conclusion，this study shows that the unified phase field model can be used to study the mechanism of crack propagation and the damage evolution of rock.
相福斌1，赵 程1，2，幸金权1 . 基于统一相场模型的岩石裂纹扩展及损伤演化特性研究[J]. 岩石力学与工程学报, 2023, 42(S1): 3519-3528.
XIANG Fubin1，ZHAO Cheng1，2，XING Jinquan1. Research on crack propagation and damage evolution of rock based on the unified phase-field theory. , 2023, 42(S1): 3519-3528.
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2023, Vol. 42 
