Study on the elastoplastic damage model for rock based on the phase-field method and its numerical implementation

被引：0
作者：
Liu S. [1 ,2 ]
Wang W. [1 ,2 ]
Cao Y. [1 ,2 ]
Zhu Q. [1 ,2 ]
Shao J. [1 ,2 ,3 ]
机构：
[1] Geotechnical Research Institute, Hohai University, Jiangsu, Nanjing
[2] Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai University, Jiangsu, Nanjing
[3] University of Lille, Lille
来源：
Yanshilixue Yu Gongcheng Xuebao/Chinese Journal of Rock Mechanics and Engineering | 2023年 / 42卷 / 04期
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
crack propagation; damage evolution; phase-field model; plasticity-damage coupling; rock mechanics;
D O I：
10.13722/j.cnki.jrme.2022.0540
中图分类号：
学科分类号：
摘要：
The study of damage and failure of rock is of vital significance in the stability evaluation of rock engineering. Based on thermodynamic principles，the plastic constitutive model and hardening law are introduced into the framework of classical phase-field damage model. The damage evolution equation is driven by the plastic dissipation energy，during the plastic hardening stage and post-peak softening stage. In this way，a novel elastoplastic phase-field damage model for rock is established and its numerical implementation is given. The simulation results and analytical solutions of the phase-field homogeneous response are compared. The accuracy and reliability of the model under the plastic-damage coupling effects are verified. Then，two-dimensional and three-dimensional crack propagation in rock is simulated by the proposed model. The plastic shear damage and failure process of rock samples with pre-existing notches are studied. The simulation results are in good agreement with the existing experimental observations. By means of the proposed model，the complex propagation path of cracks in rock can be automatically and accurately tracked. Meanwhile，the damage evolution law of rock and the coupling effects between plastic deformation and non-local phase-field can be effectively described. The model can be further applied to simulate the damage failure and analyze the stability of rock in practical engineering. © 2023 Academia Sinica. All rights reserved.
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页码：896 / 905
页数：9
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