氧化铝陶瓷压缩破坏过程离散元数值模拟

硅酸盐通报 ›› 2022, Vol. 41 ›› Issue (9): 3296-3303.

氧化铝陶瓷压缩破坏过程离散元数值模拟

邱镁钫¹, 张青艳^1,2, 郑宇轩¹

1.宁波大学冲击与安全工程教育部重点实验室,宁波 315211;
2.宁波职业技术学院应用力学研究所,宁波 315800

收稿日期:2022-04-22 修回日期:2022-05-20 出版日期:2022-09-15 发布日期:2022-09-27
通讯作者: 张青艳,副教授。E-mail:zhangqingyan@nbu.edu.cn
作者简介:邱镁钫(1994—),女,硕士研究生。主要从事冲击动力学研究。E-mail:993427190@qq.com
基金资助:
宁波职业技术学院人才引进科研项目(RC202004)

Discrete Element Simulations on Compressive Fragmentation of Alumina Ceramics

QIU Meifang¹, ZHANG Qingyan^1,2, ZHENG Yuxuan¹

1. MOE Key Laboratory of Impact and Safety Engineering, Ningbo University, Ningbo 315211, China;
2. Institute of Applied Mechanics, Ningbo Polytechnic, Ningbo 315800, China

Received:2022-04-22 Revised:2022-05-20 Online:2022-09-15 Published:2022-09-27

摘要/Abstract

摘要： 陶瓷的压缩破坏是一个爆炸式破碎的过程,在短时间内急剧释放大量能量,并伴随大量高速飞行碎片的产生,实验上较难获取陶瓷压缩破坏过程中碎片的飞溅速度。本文采用离散元数值模拟氧化铝陶瓷的压缩破碎过程,分析了不同应变率下产生碎片的尺寸分布、碎片的平均飞溅速度,以及试件内部不同区域碎片的速度变化规律。研究表明:(1)陶瓷的表观破坏强度以及破碎后碎片的平均飞溅速度与加载应变率正相关;(2)碎片飞溅速度与其初始位置相关,外侧碎片的飞散速度最大,随着初始位置与试件中心轴距离的减小,碎片飞溅速度逐渐减小;(3)随着加载应变率的提高,碎裂产生的碎片数逐渐增多,对应的碎片平均尺寸变小。进一步讨论了试件压缩破碎过程中的能量守恒和转换模式,并对碎片飞溅的平均速度进行了理论分析。

关键词: 陶瓷, 压缩破坏, 离散元, 碎片飞溅速度, 碎片尺寸, 能量转换

Abstract: The compressive failure of ceramics is always accompanied by an explosive fragmentation process that creates lots of fragments flying away at high speed. Due to experimental limitations, the details of compressive fragmentation occurred inside the specimen are not clear. In this paper, the compression crushing process of alumina ceramics was numerically reproduced by discrete element method. The size distribution of fragments under different strain rates, the average splash velocity of fragments and the variation law of fragment velocity in different areas within the specimen were analyzed. The simulation results show that as follow: (1) Both the compressive strength of ceramics and the average splash velocity of fragments increase with the increase of loading strain rate. (2) The dispersion velocity of debris is related to its initial position. The dispersion velocity of peripheral debris is the largest. With the decrease of distance between initial position and central axis of the specimen, the dispersion velocity of debris decreases gradually. (3) With the increase of loading strain rate, the number of fragments produced by fragmentation increases gradually, and the corresponding average size of fragments decreases. The energy conservation and conversion mode in the compression crushing process of the specimen were further discussed, and the average velocity of debris splashing was theoretically analyzed.

Key words: ceramics, compressive failure, discrete element, fragment splash velocity, fragment size, energy conversion

中图分类号:

O346.1

邱镁钫, 张青艳, 郑宇轩. 氧化铝陶瓷压缩破坏过程离散元数值模拟[J]. 硅酸盐通报, 2022, 41(9): 3296-3303.

QIU Meifang, ZHANG Qingyan, ZHENG Yuxuan. Discrete Element Simulations on Compressive Fragmentation of Alumina Ceramics[J]. BULLETIN OF THE CHINESE CERAMIC SOCIETY, 2022, 41(9): 3296-3303.

参考文献

[1] WANG H, RAMESH K T. Dynamic strength and fragmentation of hot-pressed silicon carbide under uniaxial compression[J]. Acta Materialia, 2004, 52(2): 355-367.
[2] SARVA S, NEMAT-NASSER S. Dynamic compressive strength of silicon carbide under uniaxial compression[J]. Materials Science and Engineering: A, 2001, 317(1/2): 140-144.
[3] 李英雷,胡时胜,李英华.A95陶瓷材料的动态压缩测试研究[J].爆炸与冲击,2004,24(3):233-239.
LI Y L, HU S S, LI Y H. Research on dynamic behaviors of A95 ceramics under compression[J]. Explosion and Shock Waves, 2004, 24(3): 233-239 (in Chinese).
[4] 王永刚,周风华.径向膨胀Al₂O₃陶瓷环动态拉伸破碎的实验研究[J].固体力学学报,2008,29(3):245-249.
WANG Y G, ZHOU F H. Experimental study on the dynamic tensile framentations of Al₂O₃ rings under radial expansion[J]. Chinese Journal of Solid Mechanics, 2008, 29(3): 245-249 (in Chinese).
[5] ZHOU F H, MOLINARI J F. Stochastic fracture of ceramics under dynamic tensile loading[J]. International Journal of Solids and Structures, 2004, 41(22/23): 6573-6596.
[6] GLENN L A, CHUDNOVSKY A. Strain-energy effects on dynamic fragmentation[J]. Journal of Applied Physics, 1986, 59(4): 1379-1380.
[7] ROSENBERG Z. On the relation between the Hugoniot elastic limit and the yield strength of brittle materials[J]. Journal of Applied Physics, 1993, 74(1): 752-753.
[8] 张青艳,靳晓庆,周风华.Al₂O₃陶瓷柱在准静态压缩下的破坏和动态碎裂过程[J].兵工学报,2013,34 (1):151-156.
ZHANG Q Y, JIN X Q, ZHOU F H. Failure and dynamic fragmentation processes of alumina (Al₂O₃) ceramic cylinders under quasi static compression[J]. Acta ArmamentarII, 2013, 34(1): 151-156 (in Chinese).
[9] ZHANG Q Y, ZHENG Y X, ZHOU F H, et al. Fragmentations of alumina (Al₂O₃) and silicon carbide (SiC) under quasi-static compression[J]. International Journal of Mechanical Sciences, 2020, 167: 105119.
[10] 吴雪,张先锋,丁力,等.预应力对陶瓷抗侵彻性能影响规律的数值模拟[J].高压物理学报,2018,32(4):75-82.
WU X, ZHANG X F, DING L, et al. Numerical simulation of the effect of pre-stress on the ballistic performance of ceramics[J]. Chinese Journal of High Pressure Physics, 2018, 32(4): 75-82 (in Chinese).
[11] 冯晓伟,李俊承,常敬臻,等.氧化铝陶瓷受冲击压缩破坏的细观机理研究[J].兵工学报,2017,38(12):2472-2479.
FENG X W, LI J C, CHANG J Z, et al. Investigation on mesoscale failure mechanism of alumina under shock compression[J]. Acta Armamentarii, 2017, 38(12): 2472-2479 (in Chinese).
[12] 杨震琦,庞宝君,王立闻,等.JH-2模型及其在Al₂O₃陶瓷低速撞击数值模拟中的应用[J].爆炸与冲击,2010,30(5):463-471.
YANG Z Q, PANG B J, WANG L W, et al. JH-2 model and its application to numerical simulation on Al₂O₃ ceramic under low-velocity impact[J]. Explosion and Shock Waves, 2010, 30(5): 463-471 (in Chinese).
[13] ZHOU F, MOLINARI J F. Dynamic crack propagation with cohesive elements: a methodology to address mesh dependency[J]. International Journal for Numerical Methods in Engineering, 2004, 59(1): 1-24.
[14] ZHOU F H, MOLINARI J. F. Numerical investigation of dynamic compressive loading[J]. Ceramic Engineering and Science Proceedings, 2003, 24(3): 417-423.
[15] 成琴,吴恒安,王宇,等.β-SiC陶瓷材料增韧机制的分子动力学模拟[J].中国科学技术大学学报,2010,40(12):1267-1272.
CHENG Q, WU H G, WANG Y, et al. Molecular dynamic simulations of toughness mechanisms for β-SiC ceramics[J]. Journal of University of Science and Technology of China, 2010, 40(12): 1267-1272 (in Chinese).
[16] 姜胜强,谭援强,聂时君,等.碳化硅陶瓷预应力加工的离散元模拟与实验研究[J].无机材料学报,2010,25(12):1286-1290.
JIANG S Q, TAN Y Q, NIE S J, et al. Discrete element method (DEM) simulation and investigation of SiC on pre-stressed machining[J]. Journal of Inorganic Materials, 2010, 25(12): 1286-1290 (in Chinese).
[17] GUSEV A A. Finite element mapping for spring network representations of the mechanics of solids[J]. Physical Review Letters, 2004, 93(3): 034302.
[18] YU Y, WANG W Q, HE H L, et al. Modeling multiscale evolution of numerous voids in shocked brittle material[J]. Physical Review E, Statistical, Nonlinear, and Soft Matter Physics, 2014, 89(4): 043309.
[19] 吕文银,张青艳,周风华.基于格点-弹簧模型模拟含缺陷陶瓷材料的压缩破坏过程[J].宁波大学学报(理工版),2017,30(5):76-82.
LÜ W Y, ZHANG Q Y, ZHOU F H. Lattice-spring model simulations on compressive failure process of ceramics with internal defects[J]. Journal of Ningbo University (Natural Science & Engineering Edition), 2017, 30(5): 76-82 (in Chinese).
[20] 张青艳.脆性材料在准静态和冲击压缩载荷作用下的动态碎裂过程[D].宁波:宁波大学,2019.
ZHANG Q Y. Fragmentations of brittle materials under quasi-static and dynamic compression[D]. Ningbo: Ningbo University, 2019 (in Chinese).
[21] 陈为农,宋博.分离式霍普金森(考尔斯基)杆[M].姜锡权,卢玉斌译.北京:国防工业出版社,2018.
CHENG W N, SONG B. Split Hopkinson (Kolsky) bar[M]. JIANG X Q, LU Y B Trans. Beijing: National Defense Industry Press, 2018 (in Chinese).