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结构爆炸毁伤的浸没多介质有限体积物质点法

倪锐晨 孙梓贤 李家盛 张雄

倪锐晨, 孙梓贤, 李家盛, 张雄. 结构爆炸毁伤的浸没多介质有限体积物质点法. 力学学报, 2022, 54(12): 1-14 doi: 10.6052/0459-1879-22-446
引用本文: 倪锐晨, 孙梓贤, 李家盛, 张雄. 结构爆炸毁伤的浸没多介质有限体积物质点法. 力学学报, 2022, 54(12): 1-14 doi: 10.6052/0459-1879-22-446
Ni Ruichen, Sun Zixian, Li Jiasheng, Zhang Xiong. An immersed multi-material finite volume-material point metohd for structural damage under blast loading. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(12): 1-14 doi: 10.6052/0459-1879-22-446
Citation: Ni Ruichen, Sun Zixian, Li Jiasheng, Zhang Xiong. An immersed multi-material finite volume-material point metohd for structural damage under blast loading. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(12): 1-14 doi: 10.6052/0459-1879-22-446

结构爆炸毁伤的浸没多介质有限体积物质点法

doi: 10.6052/0459-1879-22-446
基金项目: 国家自然科学基金资助项目(12172192)
详细信息
    作者简介:

    张雄, 教授, 主要研究方向: 极端变形问题的数值模拟方法. E-mail: xzhang@tsinghua.edu.cn

  • 中图分类号: TU312+.3

AN IMMERSED MULTI-MATERIAL FINITE VOLUME-MATERIAL POINT METOHD FOR STRUCTURAL DAMAGE UNDER BLAST LOADING

  • 摘要: 结构在爆炸载荷作用下的毁伤现象涉及强非线性激波、固体结构极端变形和破坏破碎、强流固耦合, 给数值计算方法带来了极大的困难与挑战. 针对结构爆炸毁伤问题, 建立了浸没多介质有限体积物质点法(iMMFV-MPM), 采用基于黎曼求解器的多介质有限体积法(MMFVM)模拟爆炸产物和空气的多介质流体, 采用物质点法(MPM)模拟固体结构, 并将提出的基于拉格朗日乘子的连续力浸没边界法(lg-CFIBM)扩展到多介质流体中以处理流固耦合边界条件. 该算法在每个时间步严格满足流固耦合界面处的速度边界条件及动量守恒方程, 不需要重构流固耦合界面, 能够有效地模拟近场爆炸下爆炸产物与结构的相互作用、激波与结构的相互作用和演化以及结构的动态断裂和拓扑变化. 利用iMMFV-MPM对近场爆炸下方形钢筋混凝土靶板的失效模式、外爆载荷下建筑物的毁伤现象以及多腔室内爆炸试验进行了模拟, 模拟结果与相关实验数据吻合良好, 验证了所建立的流固耦合算法的有效性及精度.

     

  • 图  1  物质点法的空间离散

    Figure  1.  Spatial discretization of MPM

    图  2  网格单元分类

    Figure  2.  Grid cell classification

    图  3  各浸没边界法边界条件施加示意图

    Figure  3.  Diagram of applying boundary conditions of different IBMs

    图  4  二维激波与氦气泡相互作用问题描述

    Figure  4.  Diagram of 2 D shock-Helium bubble problem

    图  5  二维激波与氦气泡相互作用问题的模拟结果(左)和实验结果[54](右)

    Figure  5.  Numerical results(left) and experiment data[54] (right) of 2D shock-Helium bubble problem

    图  6  氦气泡表面的双反射-折射示意图[54]

    Figure  6.  Schematic for twin regular reflection-refraction

    图  7  实验装置及钢筋混凝土的布筋形式[58]

    Figure  7.  Geometry setup of experiments

    图  8  计算模拟的几何参数设置

    Figure  8.  Geometry set for simulation

    图  9  iMMFV-MPM和MPM的压力云图结果

    Figure  9.  Pressure contour results of the iMMFV-MPM and the pure MPM

    图  10  方形钢筋混凝土靶板的失效模式

    Figure  10.  Damage modes of the reinforced concrete slab

    图  11  iMMFV-MPM模拟的钢筋混凝土靶板中心点位移时程曲线

    Figure  11.  Central deflection curve of the reinforced concrete slab by iMMFV-MPM

    图  12  实验装置及计算模拟的几何建模

    Figure  12.  Setup of experiment and simulation

    图  13  流场压强云图与建筑物损伤云图

    Figure  13.  Pressure contour in fluid domain and damage contour in building

    图  14  流场体积分数截面云图与建筑物压力云图

    Figure  14.  Volume of fraction contour on the plane of $z = 300\;{\text{mm}}$ and pressure contour in building

    图  15  最终时刻的建筑物损伤云图

    Figure  15.  Damage contour in building at last

    图  16  实验和模拟的几何参数设置

    Figure  16.  Geometry setup of experiment and simualtion

    图  17  主爆室侧墙中心点处的压强曲线

    Figure  17.  Pressure curve at the center of sidewall in explosion room

    图  18  各时刻中截面上的流场压强云图和体积分数云图

    Figure  18.  Pressure contour and volume of fraction contour of middle plane at different instants

    图  19  顶板和侧墙的破坏情况

    Figure  19.  Roof and sidewall fragmentation

    表  1  钢筋混凝土靶板算例中HJC强度模型参数[59]

    Table  1.   The material constants of HJC strength model in reinforced concrete slab simulation

    ABNCfc'/MPa
    0.791.600.610.00739.5
    SmaxT/MPaD1D2εfmin
    7.04.10.041.00.000 8
    下载: 导出CSV

    表  2  钢筋混凝土靶板算例中HJC状态方程参数[59]

    Table  2.   The material constants of HJC EOS model in reinforced concrete slab simulation

    Pcrush/MPaμcrushK1/GPaK2/GPa
    160.00185−171
    K3/GPaPlock/GPaμlock
    2080.800.10
    下载: 导出CSV
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