含预制裂纹陶瓷圆盘劈裂破坏的离散元模拟

杨玲 任会兰 赵涵

杨玲, 任会兰, 赵涵. 含预制裂纹陶瓷圆盘劈裂破坏的离散元模拟[J]. 高压物理学报, 2023, 37(5): 054202. doi: 10.11858/gywlxb.20230625
引用本文: 杨玲, 任会兰, 赵涵. 含预制裂纹陶瓷圆盘劈裂破坏的离散元模拟[J]. 高压物理学报, 2023, 37(5): 054202. doi: 10.11858/gywlxb.20230625
YANG Ling, REN Huilan, ZHAO Han. Discrete Element Simulation of Splitting Failure of Ceramic Disk with Prefabricated Crack[J]. Chinese Journal of High Pressure Physics, 2023, 37(5): 054202. doi: 10.11858/gywlxb.20230625
Citation: YANG Ling, REN Huilan, ZHAO Han. Discrete Element Simulation of Splitting Failure of Ceramic Disk with Prefabricated Crack[J]. Chinese Journal of High Pressure Physics, 2023, 37(5): 054202. doi: 10.11858/gywlxb.20230625

含预制裂纹陶瓷圆盘劈裂破坏的离散元模拟

doi: 10.11858/gywlxb.20230625
基金项目: 国家自然科学基金(12072028)
详细信息
    作者简介:

    杨 玲(1998-),女,硕士研究生,主要从事冲击动力学研究. E-mail:18810520109@163.com

    通讯作者:

    任会兰(1973-),女,教授,主要从事冲击动力学研究. E-mail:huilanren@bit.edu.cn

  • 中图分类号: O347; O346.1

Discrete Element Simulation of Splitting Failure of Ceramic Disk with Prefabricated Crack

  • 摘要: 为研究氧化铝陶瓷在冲击载荷作用下的裂纹演化过程,对平台圆盘陶瓷开展动态巴西劈裂的离散元数值计算研究。利用离散元颗粒流软件建立陶瓷试件冲击加载实验的数值计算模型,分析了不同倾角(预制裂纹与加载方向的夹角)的试件在冲击载荷下的裂纹演化过程和破坏形式,并结合复合型裂纹尖端的应力场分布分析了翼型裂纹起裂和扩展规律。研究结果表明:平台圆盘试件的裂纹首先产生于中心部位,之后次生裂纹从圆盘边缘处萌生扩展,试件最终呈现拉伸破坏模式;离散元模拟结果与基于分离式霍普金森压杆装置的动态巴西劈裂的实验现象吻合;预制裂纹倾角为0°~60°时,改变倾角可以产生介于Ⅰ型与Ⅱ型裂纹之间的复合型裂纹,试件上主裂纹从预制裂纹尖端处成核扩展,表现为翼型裂纹扩展类型(扩展的曲率逐渐趋于零);试件裂纹的起裂角度随着预制裂纹倾角的增加而增大,起裂应力呈现先降低后升高的趋势;当预制裂纹倾角为30°时,试件最易发生开裂。

     

  • 图  SHPB二维计算模型

    Figure  1.  Two-dimensional simulation model of SHPB

    图  无试件状态下的波形信号

    Figure  2.  Waveform signal without specimen

    图  平台圆盘试件动态破坏计算结果

    Figure  3.  Dynamic failure results of platform disk specimen by simulation

    图  实验波形

    Figure  4.  Experimental waveform

    图  陶瓷试件巴西劈裂的破坏过程

    Figure  5.  Failure process of the ceramic specimen in Brazilian splitting test

    图  β=30°时含预制裂纹陶瓷不同时刻的受力云图

    Figure  6.  Stress distribution of the ceramic specimens at different moment with prefabricated cracks at β =30°

    图  不同β下陶瓷的裂纹演化过程

    Figure  7.  Crack evolution process of the ceramic specimens with different β

    图  翼型裂纹示意图

    Figure  8.  Schematic diagram of wing crack

    图  翼型裂纹模型

    Figure  9.  Model of wing cracks

    图  10  不同倾角β下的起裂角

    Figure  10.  Crack initiation angle at different β

    图  11  β=60°时裂纹的演化

    Figure  11.  Evolution of cracks at β=60°

    图  12  不同倾角β下的起裂应力

    Figure  12.  Crack initiation stress at different β

    表  1  材料Flat-joint模型的细观参数

    Table  1.   Micro parameters of the Flat-joint model for materials

    Material Minimum particle diameter/mm Maximum particle diameter/mm Effective modulus of
    linear contact/GPa
    Normal shear stiffness
    ratio of linear contact
    Porosity
    Steel bar 0.20 0.300 218.0 6.0 0.1
    Ceramics 0.05 0.075 346.5 1.9 0.1
    Material Effective modulus of
    Flat-joint contact/GPa
    Shear strength of
    Flat-joint contact/GPa
    Tensile strength of
    Flat-joint contact/GPa
    Normal shear stiffness
    ratio of Flat-joint contact
    Steel bar 218.0 100 100 6.0
    Ceramics 346.5 390 1760 1.9
    下载: 导出CSV

    表  2  陶瓷力学性能的数值模拟与实验结果

    Table  2.   Numerical simulation and experimental results of mechanical properties of the ceramics

    Method Modulus of elasticity/GPa Compressive strength/MPa Tensile strength/MPa Bending strength/MPa Fracture toughness/
    (MPa·m1/2
    Experimental results 360 2942 343.0 4
    Simulation results 360 2940 200 337.5 4
    下载: 导出CSV

    表  3  理论和数值计算的起裂角对比

    Table  3.   Comparison of the crack initiation angles between theoretical and simulation results

    β/(°)θ/(°)
    Simulation resultsTheoretical results
    000
    53939.8
    105555.1
    156362.8
    206868.0
    25112111.1
    30112114.7
    45114
    60118
    下载: 导出CSV
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出版历程
  • 收稿日期:  2023-03-13
  • 修回日期:  2023-04-15
  • 录用日期:  2023-05-02
  • 刊出日期:  2023-11-07

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