Numerical Simulation of 3D Crack Propagation in Rock by Peridynamics Approach

doi:10.11908/j.issn.0253-374x.22326

Home > Archive>Volume 50, Issue 9, 2022 >1223-1231. DOI:10.11908/j.issn.0253-374x.22326

Numerical Simulation of 3D Crack Propagation in Rock by Peridynamics Approach
DOI:
                        10.11908/j.issn.0253-374x.22326
                    
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                        CUI Hao1,2CUI Hao
Power China Huadong Engineering Corporation Limited， Hangzhou 311122， China;Faculty of Architecture， Civil and Transportation Engineering， Beijing University of Technology， Beijing 100124， China
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ZHENG Hong2ZHENG Hong
Faculty of Architecture， Civil and Transportation Engineering， Beijing University of Technology， Beijing 100124， China
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LI Chunguang3LI Chunguang
State Key Laboratory of Geomechanics and Geotechnical Engineering， Institute of Rock and Soil Mechanics， Chinese Academy of Sciences， Wuhan 430071， China
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HAN Yue1HAN Yue
Power China Huadong Engineering Corporation Limited， Hangzhou 311122， China
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Affiliation:1.Power China Huadong Engineering Corporation Limited， Hangzhou 311122， China;2.Faculty of Architecture， Civil and Transportation Engineering， Beijing University of Technology， Beijing 100124， China;3.State Key Laboratory of Geomechanics and Geotechnical Engineering， Institute of Rock and Soil Mechanics， Chinese Academy of Sciences， Wuhan 430071， China
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Abstract:

The peridynamics method has great advantages in solving crack propagation problems due to its automatic tracking of crack tips by breaking bonds， but it also faces the problems such as numerical oscillations and boundary errors. In order to solve the above defects， this paper first discussed the NOSB-PD method with the meshless Galerkin weak-form framework. Next， it introduced the peridynamics differential operator approximation and fully compared and analyzed the difference between the PDDO approximation and the reproducing kernel particle method （RKPM） approximation. Then， it proposed the RKPM-PD coupling algorithm with a higher numerical accuracy and gave the implicit iterative process of the RKPM-PD method. Finally， it verified the effectiveness of the algorithm in solving three-dimensional crack propagation problems by using several numerical examples.

Key words:peridynamics;meshless method;Galerkin method;3D crack propagation

Reference

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CUI Hao, ZHENG Hong, LI Chunguang, HAN Yue. Numerical Simulation of 3D Crack Propagation in Rock by Peridynamics Approach[J].同济大学学报(自然科学版),2022,50(9):1223~1231

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Received:July 17,2022
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Online: September 29,2022
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