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A new mixed-mode phase-field model for crack propagation of brittle rock

Journal of Rock Mechanics and Geotechnical Engineering 2023年第5期15卷 1186-1199页

作者： Qiuhua Rao Chenchen Zhao Wei Yi School of Civil Engineering Central South UniversityChangsha410083China

Study on crack propagation process of brittle rock is of most significance for cracking-arrest design and cracking-network optimization in rock ***-field model(PFM)has advantages of simplicity and high convergence over the common numerical methods(*** element method,discrete element method,and particle manifold method)in dealing with three-dimensional and multicrack ***,current PFMs are mainly used to simulate mode-I(tensile)crack propagation but difficult to effectively simulate mode-II(shear)crack *** this paper,a new mixed-mode PFM is established to simulate both mode-I and mode-II crack propagation of brittle rock by distinguishing the volumetric elastic strain energy and deviatoric elastic strain energy in the total elastic strain energy and considering the effect of compressive stress on mode-II crack *** solution method of the new mixed-mode PFM is proposed based on the staggered solution method with self-programmed subroutines UMAT and HETVAL of ABAQUS *** examples calculated using different PFMs as well as test results are presented for *** results show that compared with the conventional PFM(which only simulates the tensile wing crack but not mode-II crack propagation)and the modified mixed-mode PFM(which has difficulty in simulating the shear anti-wing crack),the new mixed-mode PFM can successfully simulate the whole trajectories of mixed-mode crack propagation(including the tensile wing crack,shear secondary crack,and shear anti-wing crack)and mode-II crack propagation,which are close to the test *** can be further extended to simulate multicrack propagation of anisotropic rock under multi-field coupling loads.

关键词： New mixed-mode phase-field model(PFM) Mode-I and mode-II crack propagation volumetric strain energy Deviatoric elastic strain energy Compressive stress Brittle rock

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