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混凝土中裂纹起裂和损伤演化的离散元模拟

檀日晶,任会兰*,李涛   

  1. (北京理工大学 爆炸科学与安全防护全国重点实验室,北京 100081)
  • 收稿日期:2025-02-21 修回日期:2025-05-04
  • 通讯作者: *通信作者邮箱:huilanren@bit.edu.cn
  • 基金资助:
    国家自然科学基金项目(12072028、12372352)

Discrete element simulation of crack initiation and damage evolution in concrete

TAN Rijing,REN Huilan*, LI Tao   

  1. (State Key Laboratory of Explosion Science and Safety Protection, Beijing Institute of Technology, Beijing 100081, China)
  • Received:2025-02-21 Revised:2025-05-04

摘要: 为研究混凝土中损伤演化过程,采用离散元方法对不同加载模式下含预制裂纹混凝土试件的裂纹起裂和扩展演化过程进行数值模拟。基于混凝土材料中骨料几何特征,构建了具有不规则多面体骨料的三维混凝土离散元模型;并采用平节理模型对四种加载模式下的混凝土试件中裂纹产生和扩展行为进行研究,揭示了混凝土宏观失效破坏的细观损伤机理。结果表明:(1)加载初期,混凝土试件内部裂纹较少,由于压缩应力集中效应影响,剪切裂纹主要聚集在加载端两侧,而预制裂纹尖端则产生拉伸裂纹;加载后期,裂纹沿着骨料边界迅速扩展导致裂纹弯折扩展,加载端附近产生次生裂纹并向试件中部延伸,同时承载高应力的骨料内部出现少量裂纹。(2)加载角从0°增至28°时,预制裂纹尖端处的剪切裂纹占比呈现增加的趋势,体现了混凝土从拉伸破坏到剪切破坏的转变;四种加载模式下拉伸破坏仍是主导混凝土试件破坏的主要因素。(3)加载角度在0-28°范围内,预制裂纹尖端处的起裂角随加载角增大而增大;采用广义最大切应力准则预测结果在纯Ⅰ型及Ⅰ-Ⅱ混合加载阶段与模拟结果吻合性较好,在纯Ⅱ型加载下预测结果偏高。

关键词: 混凝土, 离散元模型, 起裂角, 广义最大切应力准则

Abstract: To investigate the damage evolution process in concrete, numerical simulations were conducted using the Discrete Element Method (DEM) to study crack initiation and propagation evolution in pre-cracked concrete specimens under different loading modes. Based on the aggregate geometry in concrete materials, a three-dimensional discrete element model incorporating irregular polyhedral aggregates was developed. The flat-joint model was then employed to investigate crack initiation and propagation behavior in concrete specimens under four loading modes, revealing the meso-scale damage mechanisms underlying macroscopic failure in concrete. The results demonstrate that: (1) During the initial loading phase, fewer internal cracks were observed in the concrete specimen. Due to the compressive stress concentration effect, shear cracks predominantly clustered near both loading ends, while tensile cracks initiated at the pre-existing crack tip. In the later loading stage, cracks rapidly propagated along aggregate boundaries, resulting in crack deflection. Secondary cracks emerged adjacent to the loading ends and extended towards the specimen mid-section, accompanied by limited crack development within highly stressed aggregates. (2) As the loading angle increased from 0° to 28°, the proportion of shear cracks at the pre-existing crack tip exhibited an increasing trend, demonstrating the transition from tensile-dominated to shear-dominated failure mechanisms in concrete. However, tensile failure remained the predominant factor governing specimen failure across all four loading modes. (3) Within the loading angle range of 0-28°, the crack initiation angle at the pre-existing crack tip exhibited a positive correlation with increasing loading angles. The predictions based on the generalized maximum tangential stress (GMTS) criterion showed good agreement with simulation results for pure Mode I and mixed Mode I-II loading conditions, while demonstrating higher predictions under pure Mode II loading.

Key words: concrete;discrete element model, crack initiation angle, generalized maximum tangential stress criterion