基于相场法的岩石三点弯曲细观破坏数值模拟  

Numerical Simulation of Three-point Bending Failure Behavior of Basalt Based on Phase Field Method

作　　者：李明耀 李绍金 左建平[1,2] 王智敏 彭磊 薛喜仁 LI Ming-yao;LI Shao-jin;ZUO Jian-ping;WANG Zhi-min;PENG Lei;XUE Xi-ren(State Key Laboratory of Coal Resources and Safe Mining,China University of Mining and Technology,Beijing 100083,China;School of Mechanics and Civil Engineering,China University of Mining and Technology,Beijing 100083,China)

机构地区：[1]中国矿业大学(北京)煤炭资源与安全开采国家重点实验室,北京100083 [2]中国矿业大学(北京)力学与建筑工程学院,北京100083

出　　处：《科学技术与工程》2022年第30期13441-13449,共9页Science Technology and Engineering

基　　金：国家自然科学基金青年基金(11802332);煤炭资源与安全开采国家重点实验室-北京高等学校卓越青年科学家计划项目联合基金(BJJWZYJH01201911413037,SKLCRSM21LH02);国家留学基金(202206435003);中央高校基本科研业务费专项(2021YQLJ09)。

摘　　要：岩石中裂纹的起裂、扩展和贯通等行为是研究岩石变形、强度及稳定性的关键力学问题,通过数值方法预测和分析裂纹扩展行为具有重要意义。相场法在严谨准确的理论框架内,克服了传统断裂力学理论及数值计算方法显式追踪裂纹面的挑战,能很好地模拟裂纹起裂、扩展、分叉和多裂纹相互贯通。通过裂纹扩展主要区域建立了能够反映岩石内部细观结构的多尺度模型,利用相场法从细观力学尺度预测和分析了岩石三点弯曲时内部裂纹的起裂、扩展和贯通的破坏过程,分析了矿物颗粒的位置分布和能量释放率等参数对裂纹扩展行为的影响规律。通过与室内岩石三点弯曲宏观和细观试验对比分析,结果表明,本文建立的考虑玄武岩内部复杂细观结构特征的相场模型能够很好地模拟和预测岩石内裂纹的萌生、扩展和贯通等破坏过程。The behavior of crack initiation,propagation and coalescence in rock is the key mechanics of rock deformation,strength and stability,and it is important to predict and analyze crack growth behavior by numerical method.Phase field(PF)method overcomes the challenge of the traditional fracture mechanics theory and numerical method to explicitly track the crack surface within the framework of strict and accurate theory,and can simulate crack initiation,propagation,branching and multi-cracking.A multi-scale model that can reflect the internal microstructure of rock materials was established at the main area of crack growth.The failure progress of crack initiation,propagation and coalescence within the basalt under three-point bending test was predicted and analyzed by phase field method.The influence of the distribution of mineral inclusions and energy release rate on the crack propagation behavior was investigated and the numerical simulation results were compared and verified with the experimental data.It is shown that the proposed multi-scale PF model considering the complex internal microstructure of basalt rock is able to simulate and predict the progress of the crack behavior.

关 键 词：相场法 三点弯曲 裂纹扩展 岩石力学 细观力学 

分 类 号：TU452[建筑科学—岩土工程] TD313[建筑科学—土工工程]