碎片云SPH方法数值模拟中的材料失效模型

邸德宁; 陈小伟

doi:10.11883/bzycj-2017-0328

碎片云SPH方法数值模拟中的材料失效模型

doi: 10.11883/bzycj-2017-0328

邸德宁¹,
陈小伟^{2, 3, ,}

1.
中国工程物理研究院总体工程研究所, 四川绵阳 621999
2.
北京理工大学前沿交叉科学研究院, 北京 100081
3.
北京理工大学爆炸科学与技术国家重点实验室, 北京 100081

基金项目:

国家自然科学基金项目 11225213

详细信息

作者简介:
邸德宁(1993-), 男, 硕士研究生

通讯作者:
陈小伟, chenxiaoweintu@bit.edu.cn

中图分类号: O385
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- 文章访问数: 5754
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- PDF下载量: 372
- 被引次数: 0
出版历程
- 收稿日期: 2017-08-26
- 修回日期: 2017-11-08
- 刊出日期: 2018-09-25

Material failure models in SPH simulation of debris cloud

DI Dening¹,
CHEN Xiaowei^{2, 3
, ,}

1.
Institute of Systems Engineering, China Academy of Engineering Physics, Mianyang 621999, Sichuan, China
2.
Advanced Research Institute for Multidisciplinary Science, Beijing Institute of Technology, Beijing 100081, China
3.
State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China

摘要

摘要: 光滑粒子流体动力学方法（smoothed particle hydrodynamics，SPH）被广泛应用于薄板超高速撞击碎片云的数值模拟。利用AUTODYN软件中的SPH模块，考察了无失效模型、Grady失效模型和最大拉应力失效模型3种方案下碎片云模拟结果，发现无失效模型时计算结果及材料表现与实验明显不符；相比于Grady失效模型，最大拉应力失效模型下材料更难失效，将小幅度减弱碎片云扩散程度，碎片总数减少，粒子聚集产生更大碎片，碎片云侵彻性能提高，增大模型失效阈值亦有上述表现。相比而言，Grady失效模型计算结果更符合实验，但2种失效模型间差异与撞击工况相关，材料破碎越充分差异越小。
- 失效模型 /
- SPH方法 /
- 碎片云 /
- 碎片分布 /
- 超高速撞击
Abstract: The smoothed particle hydrodynamics (SPH) method is widely used in debris cloud simulation under hypervelocity impact. The SPH solver in AUTODYN was employed to investigate the effects of the no-failure model, the Grady failure model and the maximum tension failure model on the simulation results of debris cloud. When using the no-failure model, the simulation result and material response were not consistent with the experiment. Compared with the Grady model, the material under the maximum tension model was more difficult to fail, which would slightly weaken the expansion of debris cloud, produce less but heavier debris because of particles gathering, and thus improve the penetration performance of debris cloud. Similarly, by increasing the failure stress threshold, the above result was also obtained. Considering the material response and debris distribution, the simulation result by the Grady model was closer to the experiment. However, the difference between the Grady model and the maximum tension model was related to the impact condition, and more complete fragmentation of the material would lead to a smaller difference.
- failure model /
- SPH method /
- debris cloud /
- debris distribution /
- hypervelocity impact

HTML全文

图 1 算例01~03数值模拟结果

Figure 1. Simulation results of cases 01-03

下载: 全尺寸图片幻灯片

图 2 算例01~07弹丸碎片云碎片识别结果与实验对照^[6]

Figure 2. Main parts of projectile fragments of cases 01-07 compared with experiments^[6]

下载: 全尺寸图片幻灯片

图 3 测量点A、B压力时间历程

Figure 3. Pressure-time curves of gauge points A and B

下载: 全尺寸图片幻灯片

图 4 材料失效阈值变化及对应失效规则触发的示例

Figure 4. An instance of material failure regulation and its failure threshold-time curve

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图 5 测量点C、D、E压力时间历程

Figure 5. Pressure-time curves of gauge points C, D and E

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图 6 0.01 mg以上碎片累计数量分布

Figure 6. Distribution of cumulative number of debris above 0.01 mg

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图 7 模型中轴线上不同失效模型下失效表现不同的粒子点

Figure 7. Particles with different failure performance under Grady and max-tension models

下载: 全尺寸图片幻灯片

图 8 圆盘中心粒子失效时刻压力的变化

Figure 8. Pressure-time curves of the center particles of the disc projectile

下载: 全尺寸图片幻灯片

图 9 碎片云碎片识别结果侧视图

Figure 9. Side view of debris recognition result of debris clouds

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图 10 0.01 mg以上碎片累计数量分布

Figure 10. Distribution of cumulative number of debris above 0.01 mg

下载: 全尺寸图片幻灯片

表 1 各算例的设置

Table 1. Settings of various cases

工况	算例	薄板厚度/mm	撞击速度/(km·s^-1)	失效模型
1	01	0.467	6.62	无
1	02	0.467	6.62	Grady模型
1	03	0.467	6.62	最大拉应力模型
2	04	0.467	4.71	Grady模型
2	05	0.467	4.71	最大拉应力模型
3	06	0.972	6.72	Grady模型
3	07	0.972	6.72	最大拉应力模型

下载: 导出CSV

表 2 最大碎片球等效直径计算值与实验值对比(单位：mm)

Table 2. Comparison of simulation and experiment results of equivalent diameters of the largest fragments (unit in mm)

工况	Grady模型	最大拉应力模型	实验值
1	2.82	2.51	2.95
2	6.23	5.92	6.36
3	1.30	1.28	1.45

下载: 导出CSV

表 3 不同临界应变常数下碎片统计信息

Table 3. Detail information related to debris statistics under different critical strains

ε_c	碎片总数	最大碎片/mg
0.15	177 832	14.43
0.30	161 616	22.23
0.45	152 956	31.21
0.60	145 480	34.14

下载: 导出CSV

参考文献(8)

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