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| Research on phase-field simulation method of crack propagation of rock with pre-existing fissures |
| WANG Susheng1，2，YANG Shengqi1，2，TIAN Wenling1，2，HUANG Yanhua1，2
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| (1. School of Mechanics and Civil Engineering，China University of Mining and Technology，Xuzhou，Jiangsu 221116，China；
2. State Key Laboratory for Geomechanics and Deep Underground Engineering，China University of
Mining and Technology，Xuzhou，Jiangsu 221116，China) |
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Abstract The deformation and failure of fissured rock are the results of the initiation，growth and coalescence of cracks into macroscopic cracks. To simulate the complicated fracture failure process of fractured rock，a new phase-field model is proposed based on the conventional phase-field fracture model by means of decompositions of the strain energy density into tensile，tensile-shear and compressive-shear parts. According to the Mohr-Coulomb criterion，the shear stress and compression-shear strain energy are individually defined. The coupling governing equations of the displacement field and phase field are derived. And the finite element method(FEM) is used for spatial discretization and the staggered algorithm is used for the numerical solution of the phase-field theory. The accuracy of the phase-field finite element program is verified by comparing the simulation results and the analytical solution of benchmark example. Then，model parameters are determined based on test data of yellow sandstone. The program is used to simulate the uniaxial compression tests of the rock containing a single fissure( = 30°) and rock containing double fissures( = 30°， =30° and =30°， = 60°). And the growth and propagation modes of tensile，shear and mixed cracks produced by the fissured rock are replicated，which is well consistent with the test results. Therefore，the improved phase-field model can simulate the crack initiation and crack propagation of fissured rock.
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2023, Vol. 42 
