相场断裂方法发展概况

张豪 于继东 裴晓阳 彭辉 李平 蔡灵仓 汤铁钢

张豪, 于继东, 裴晓阳, 彭辉, 李平, 蔡灵仓, 汤铁钢. 相场断裂方法发展概况[J]. 高压物理学报, 2019, 33(3): 030109. doi: 10.11858/gywlxb.20190777
引用本文: 张豪, 于继东, 裴晓阳, 彭辉, 李平, 蔡灵仓, 汤铁钢. 相场断裂方法发展概况[J]. 高压物理学报, 2019, 33(3): 030109. doi: 10.11858/gywlxb.20190777
ZHANG Hao, YU Jidong, PEI Xiaoyang, PENG Hui, LI Ping, CAI Lingcang, TANG Tiegang. An Overview of Phase Field Approach to Fracture[J]. Chinese Journal of High Pressure Physics, 2019, 33(3): 030109. doi: 10.11858/gywlxb.20190777
Citation: ZHANG Hao, YU Jidong, PEI Xiaoyang, PENG Hui, LI Ping, CAI Lingcang, TANG Tiegang. An Overview of Phase Field Approach to Fracture[J]. Chinese Journal of High Pressure Physics, 2019, 33(3): 030109. doi: 10.11858/gywlxb.20190777

相场断裂方法发展概况

doi: 10.11858/gywlxb.20190777
基金项目: 国家自然科学基金面上项目(11772067);国家自然科学基金青年科学基金(11702277);国家自然科学基金重点项目(11532012)
详细信息
    作者简介:

    张 豪(1988-),男,博士研究生,助理研究员,主要从事高压物理与力学研究. E-mail:zhanghao17@gscaep.ac.cn

    通讯作者:

    蔡灵仓(1964-),男,博士生导师,研究员,主要从事凝聚态物理研究. E-mail:cai_lingcang@aliyun.com

  • 中图分类号: O347.3

An Overview of Phase Field Approach to Fracture

  • 摘要: 相场断裂方法自21世纪初开始发展以来,一直备受关注,在裂纹扩展模拟方面表现出了一定的特点,取得了一定的研究成果。本文分析了相场断裂方法较其他断裂模拟方法的优势,简单介绍了相场断裂方法的发展现状和发展趋势:目前脆性断裂相场方法已较为成熟,能够模拟诸多脆性断裂中的经典问题,在此基础上正在朝着解决多场耦合情况下的断裂问题发展,且也取得了一定的研究成果。最后,简单介绍了延性断裂相场方法的发展现状,提出在该方向进行深入研究的展望。

     

  • 图  I、III型混合模式下锯齿状裂纹的实验结果(a)和相场模拟结果(b)(c)[21]

    Figure  1.  Experimental result (a) and phase field simulation (b), (c) of jag fracture under mixed condition of type I & III[21]

    图  静态/准静态脆性断裂的相场模拟:(a)I、II型裂纹[27],(b)L形薄板中的裂纹[29]

    Figure  2.  Phase field simulation of static/quasi-static brittle fracture: (a) type I & II fracture[27], (b) fracture in L-shape sheet[29]

    图  动态脆性断裂的相场模拟:(a)(b)动态裂纹经典问题[12],(c)三维形式的KW试验模拟结果[32]

    Figure  3.  Phase field simulation of dynamic brittle fracture: (a), (b) classical problems in dynamic fracture[12]; (c) 3D KW test[32]

    图  相场断裂方法的基本框架

    Figure  4.  Framework of phase field approach to fracture

    图  带裂纹的电场分布[37]

    Figure  5.  Electronic field with fracture[37]

    图  带裂纹场的极化矢量场[38]

    Figure  6.  Polarization field with fracture[38]

    图  水坝(Koyna dam)的水力压裂[41]

    Figure  7.  Phase field simulation of hydraulic fracture in Koyna dam[41]

    图  Ambati等延性断裂相场模拟结果[44]

    Figure  8.  Ductile fracture simulated by Ambati et al.[44]

    图  脆性-延性断裂模型的能量释放率:(a)应变率决定的临界能量释放率转变[36],(b)应力三轴度决定的临界能量释放率转变[46]

    Figure  9.  Energy release rate in fracture mode for brittle-ductile fracture transition: (a) strain rate induced energy release rate transition[36], (b) stress triaxiality induced energy release rate transition[46]

    图  10  KW试验相场模拟结果[36]:(a)冲击速度20 m/s产生的脆性断裂,(b)冲击速度39 m/s产生的绝热剪切失效

    Figure  10.  Phase field simulation to KW test[36]: (a) brittle fracture induced by impact velocity of 20 m/s, (b) ductile fracture induced by impact velocity of 39 m/s

    表  1  裂纹扩展的数值模拟方法对比

    Table  1.   Comparison of methods in fracture propagation simulation

    MethodsType I tensile fractureKW test
    Experimental result
    Element deletion


    Inter element


    XFEM
    Phase field

    下载: 导出CSV

    表  2  扩展有限元及相场方法处理三维及多裂纹的对比

    Table  2.   Comparison of 3D and multi-fracture simulation of XFEM and phase field approach

    CrackXFEMPhase field
    Level setsFast marchingNo need crack tracking
    3D crack
    Multi-crack
    下载: 导出CSV
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出版历程
  • 收稿日期:  2019-05-15
  • 修回日期:  2019-05-22
  • 发布日期:  2019-05-25

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