基于相场法的三维巴西圆盘破裂行为研究  

Study of fracture behavior in three-dimensional Brazilian disk based on phase field method

作　　者：刘先珊[1,2] 郝梓宇 刘少炜 张普纲 潘玉华 LIU Xianshan;HAO Ziyu;LIU Shaowei;ZHANG Pugang;PAN Yuhua(Key Laboratory of New Technology for Construction of Cities in Mountain Area,Chongqing University,Chongqing 400044,China;School of Civil Engineering,Chongqing University,Chongqing 400044,China;Shanxi Transportation New Technology Development Co.,Ltd.,Taiyuan 030032,China)

机构地区：[1]重庆大学山地城镇建设与新技术教育部重点实验室,重庆400044 [2]重庆大学土木工程学院,重庆400044 [3]山西省交通新技术发展有限公司,山西太原030032

出　　处：《大连理工大学学报》2025年第2期181-190,共10页Journal of Dalian University of Technology

基　　金：国家自然科学基金资助项目(52279094);重庆市自然科学基金资助项目(CSTB2023NSCQ-MSX0069);重庆市研究生科研创新项目(CYS23112)。

摘　　要：岩石裂纹的起裂-扩展-连接过程对岩体工程安全性与稳定性至关重要.为分析岩石破裂行为,基于Griffith脆性断裂理论和变分原理建立混合相场模型.利用接触方式表征单轴压缩试验中试件与加载板之间的力传递,研究了预制裂纹倾斜角对巴西圆盘破裂行为的影响.研究发现,裂纹在试件表面和内部的破裂行为不同步.沿圆盘厚度方向,随预制裂纹倾斜角增大,裂纹起裂位置从圆盘两侧面转移到圆盘中心.预制裂纹倾斜角对裂纹扩展速度与裂纹体积有显著影响.研究结果表明,较之二维模型,三维模型可以更加全面地反映裂纹的起裂-扩展-连接过程.The rock crack initiation-propagation-coalescence process is crucial for the safety and stability of rock mass engineering.To analyze the fracture behavior of rock,a mixed phase-field model is established based on the Griffith brittle fracture theory and the variational principle.The force transmission between specimen and loading plate in the uniaxial compression experiment is characterized using the contact method.The influence of prefabricated crack inclination angle on the fracture behavior of Brazilian disk is studied.The study finds that the fracture behaviors on the surface and within the specimen are not synchronized.The crack initiation location along the thickness direction of the disk shifts from the two sides to the middle with the increase of prefabricated crack inclination angle.The crack propagation velocity and the crack volume are significantly influenced by prefabricated crack inclination angle.The study results indicate that the three-dimensional model offers a more comprehensive depiction of crack initiation-propagation-coalescence process in comparison to the two-dimensional model.

关 键 词：巴西圆盘 破裂行为 分形维数 

分 类 号：TU45[建筑科学—岩土工程]