冲击载荷下脆性空心颗粒破碎机理

范志强; 何天明; 刘迎彬; 索涛; 徐鹏

doi:10.11883/bzycj-2020-0247

冲击载荷下脆性空心颗粒破碎机理

doi: 10.11883/bzycj-2020-0247

范志强^{1, 2,},
何天明¹,
刘迎彬³,
索涛²,
徐鹏¹

1.
中北大学理学院，山西太原 030051
2.
西北工业大学航空学院，陕西西安 710072
3.
中北大学环境与安全工程学院，山西太原 030051

基金项目: 国家自然科学基金（11602233，11802274）；山西省应用基础研究计划（201701D221018）；山西省高校科技创新项目（2019-520）

详细信息

作者简介:
范志强（1989－　），男，博士，副教授，fanzhq@nuc.edu.cn

中图分类号: O347.4
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- 被引次数: 0
出版历程
- 收稿日期: 2020-07-17
- 修回日期: 2020-09-09
- 网络出版日期: 2021-06-30
- 刊出日期: 2021-07-05

Breaking mechanisms of brittle hollow particles under impact loading

1.
School of Science, North University of China, Taiyuan 030051, Shanxi, China
2.
School of Aeronautics, Northwestern Polytechnical University, Xi’an 710072, Shaanxi, China
3.
School of Environmental and Safety Engineering, North University of China, Taiyuan 030051, Shanxi, China

摘要

摘要: 为考察脆性空心颗粒在冲击载荷作用下的应变率效应和破碎行为的细观机理，以粉煤灰漂珠为研究对象，基于低速冲击实验和有限元数值模拟，对比了典型空心颗粒材料在不同加载速率下的力学响应特性和细观压溃行为，阐释了材料宏观应变率效应产生的细观机理，获得以下结果。（1）在0.001～300 s⁻¹应变率范围，漂珠颗粒的破碎率和Hardin破碎势平均提升了约21%和10%～30%，材料比吸能提升了50%～125%，比吸能的额外增加主要与动态颗粒滑移产生的摩擦耗能相关。颗粒平均尺寸较大的试样体现出更强的应变率效应。（2）初始压溃阶段的应力应变响应特征的数值模拟结果与实验结果较吻合，低速冲击下动态二次压溃现象产生的细观机理为动态颗粒滑移和压紧行为对加载速率的依赖性。(3) 数值模拟表明，冲击加载下产生相同应变时颗粒的损伤程度和范围大于准静态加载，这与实验所得破碎势随应变率增加的结果一致。对比低速冲击实验的相对破碎势分析和细观数值模拟结果可知，脆性颗粒堆积材料在动态冲击下表现出的宏观应变率效应主要归因于颗粒压溃行为的率敏感性和动态加载下颗粒破碎能量利用率的降低。
- 脆性空心颗粒 /
- 力学特性 /
- 破碎机理 /
- 应变率效应 /
- 相对破碎势
Abstract: To investigate the strain rate sensitivity of mechanical properties and the breaking mechanisms of brittle hollow particles (BHPs) at mesoscopic level, low-velocity impact tests and the corresponding numerical simulation using finite element method (FEM) were performed on the fly ash cenospheres (CPs). Characteristics of the mechanical response and the mesoscopic crushing behavior of brittle hollow particles under dynamic loadings were observed and discussed based on the impact tests. Additionally, the mechanism of producing strain rate sensitivity of cenosphere was interpreted through the mesoscopic numerical simulations. The results are as follows. (1) At the strain rate of 0.001−300 s⁻¹, the breaking ratio and the Hardin relative breaking potential was improved by 12% and 10%−30%, respectively. Meanwhile, the specific energy absorption of two types of cenospheres increased 50%−125%. The extra improvement of energy absorption should be attributed to the increase of the friction energy dissipation which was caused by the dynamic slipping rearrangement of BHPs. Also, the cenosphere specimens with larger particles size distribution exhibited more remarkable strain rate sensitivity. (2) The stress-strain response of BHPs at the initial collapse stage obtained from the numerical simulation coincided well with the experimental results. It was suggested that the dynamic secondary collapse stress was mainly caused by the particle slippage and its dependence on the loading velocity. (3) In addition, the numerical simulation shown that the damage extent of packing particles under dynamic loadings was much higher than that under static loadings at the same compression strain level. This was in good agreement with the experimental results that the relative breaking potential, characterizing the crushing extent of particles, increased with the strain rate. By combining the potential analysis of the testing cenosphere specimens and the mesoscopic simulation, it can be concluded that the intrinsic mechanism of the macro strain rate effect of BHPs is the decrease in energy utilization of particle breaking and the rate-dependence of the particles crushing behavior.
- brittle hollow particles /
- mechanical properties /
- breaking mechanism /
- strain rate effect /
- relative breaking potential

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图 1 实验装置和单次加载实验验证

Figure 1. Experimental facility and verification of single-impact experiment

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图 2 有限元模型和BCC单胞

Figure 2. Finite element model and BCC unit cell

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图 3 LCPs准静态压缩力学响应

Figure 3. Response of LCPs under quasi-static compression

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图 4 LCPs在5 m/s速度下的冲击响应

Figure 4. Impact response of LCPs at 5 m/s

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图 5 不同加载速率下试样的应力应变曲线

Figure 5. Stress-strain curves of specimens at different loading rates

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图 6 强度和比吸能的应变率效应

Figure 6. Dependence of strength and specific energy absorption on strain rate

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图 7 不同应变率下颗粒破碎特性分析

Figure 7. Analysis on particle breaking characteristics at different strain rates

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图 8 相对破碎势随应变率的变化

Figure 8. Variation of relative breaking potential with strain rate

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图 9 数值模拟和实验的应力应变曲线

Figure 9. Simulated and experimental stress-strain curves

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图 10 不同冲击载荷下典型颗粒压溃过程

Figure 10. Typical crushing process of particles subject under different impact loading conditions

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图 11 颗粒强度和加载速率对材料初始压溃行为的影响

Figure 11. Influences of particle strength and loading rate on initial crushing behavior

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参考文献(18)

[1]	GOEL M D, MONDAL D P, YADAV M S, et al. Effect of strain rate and relative density on compressive deformation behavior of aluminum cenosphere syntactic foam [J]. Materials Science and Engineering: A, 2014, 590: 406–415. DOI: 10.1016/j.msea.2013.10.048.
[2]	FAN Z Q, MIAO Y Z, WANG Z Z, et al. Effect of the cenospheres size and internally lateral constraints on dynamic compressive behavior of fly ash cenospheres polyurethane syntactic foams [J]. Composites Part B: Engineering, 2019, 171: 329–338. DOI: 10.1016/j.compositesb.2019.05.008.
[3]	赵凯, 罗文超, 李煦阳, 等. 人防工程中空壳颗粒材料抗爆性能试验研究 [J]. 实验力学, 2012, 27(2): 189–194. ZHAO K, LUO W C, LI X Y, et al. Experimental study of explosion load bearing performance of Shelly cellular material used in civil defense engineering [J]. Journal of Experimental Mechanics, 2012, 27(2): 189–194.
[4]	孙晓旺, 李永池, 叶中豹, 等. 新型空壳颗粒材料在人防工程中应用的实验研究 [J]. 爆炸与冲击, 2017, 37(4): 643–648. DOI: 10.11883/1001-1455(2017)04-0643-06. SUN X W, LI Y C, YE Z B, et al. Experimental study of a novel shelly cellular material used in civil defense engineering [J]. Explosion and Shock Waves, 2017, 37(4): 643–648. DOI: 10.11883/1001-1455(2017)04-0643-06.
[5]	RAHMÉ P, BOUVET C, RIVALLANT S, et al. Experimental investigation of impact on composite laminates with protective layers [J]. Composites Science and Technology, 2012, 72(2): 182–189. DOI: 10.1016/j.compscitech.2011.10.015.
[6]	OMIDVAR M, ISKANDER M, BLESS S. Stress-strain behavior of sand at high strain rates [J]. International Journal of Impact Engineering, 2012, 49: 192–213. DOI: 10.1016/j.ijimpeng.2012.03.004.
[7]	HUANG J Y, XU S L, HU S S. Influence of particle breakage on the dynamic compression responses of brittle granular materials [J]. Mechanics of Materials, 2014, 68: 15–28. DOI: 10.1016/j.mechmat.2013.08.002.
[8]	HUANG J, XU S, HU S. Effects of grain size and gradation on the dynamic responses of quartz sands [J]. International Journal of Impact Engineering, 2013, 59: 1–10. DOI: 10.1016/j.ijimpeng.2013.03.007.
[9]	王壮壮, 徐鹏, 范志强, 等. 漂珠颗粒材料静动态力学性能与破碎机理研究 [J]. 爆炸与冲击, 2020, 40(6): 063101. DOI: 10.11883/bzycj-2019-0337. WANG Z Z, XU P, FAN Z Q, et al. Study on static and dynamic mechanical properties and fracture mechanism of cenospheres [J]. Explosion and Shock Waves, 2020, 40(6): 063101. DOI: 10.11883/bzycj-2019-0337.
[10]	CROOM B P, JIN H, MILLS B, et al. Damage mechanisms in elastomeric foam composites: multiscale X-ray computed tomography and finite element analyses [J]. Composites Science and Technology, 2019, 169: 195–202. DOI: 10.1016/j.compscitech.2018.11.025.
[11]	MONDAL D P, JHA N, GULL B, et al. Microarchitecture and compressive deformation behaviour of Al-alloy (LM13)-cenosphere hybrid Al-foam prepared using CaCO₃ as foaming agent [J]. Materials Science and Engineering: A, 2013, 560: 601–610. DOI: 10.1016/j.msea.2012.10.003.
[12]	HOLOMQUIST T J, JOHNSON G R, COOK W H. A computational constitutive model for concrete subjective to large strains, high strain rates, and high pressure [C] // Proceedings of the 14th International Symposium on Ballistics. USA: American Defense Preparedness Association, 1993: 591−600.
[13]	巫绪涛, 李耀, 李和平. 混凝土HJC本构模型参数的研究 [J]. 应用力学学报, 2010, 27(2): 340–344. WU X T, LI Y, LI H P. Research on the material constants of the HJC dynamic constitutive model for concrete [J]. Chinese Journal of Applied Mechanics, 2010, 27(2): 340–344.
[14]	任根茂, 吴昊, 方秦, 等. 普通混凝土HJC本构模型参数确定 [J]. 振动与冲击, 2016, 35(18): 9–16. DOI: 10.13465/j.cnki.jvs.2016.14.002. REN G M, WU H, FANG Q, et al. Determinations of HJC constitutive model parameters for normal strength concrete [J]. Journal of Vibration and Shock, 2016, 35(18): 9–16. DOI: 10.13465/j.cnki.jvs.2016.14.002.
[15]	ZHENG Z J, YU J L, LI J R. Dynamic crushing of 2D cellular structures: a finite element study [J]. International Journal of Impact Engineering, 2005, 32(1−4): 650–664. DOI: 10.1016/j.ijimpeng.2005.05.007.
[16]	BISCHOFF P H, PERRY S H. Compressive behaviour of concrete at high strain rates [J]. Materials and Structures, 1991, 24(6): 425–450. DOI: 10.1007/BF02472016.
[17]	RAMESH K T, HOGAN J D, KIMBERLEY J, et al. A review of mechanisms and models for dynamic failure, strength, and fragmentation [J]. Planetary and Space Science, 2015, 107: 10–23. DOI: 10.1016/j.pss.2014.11.010.
[18]	HARDIN B O. Crushing of soil particles [J]. Journal of Geotechnical Engineering, 1985, 111(10): 1177–1192. DOI: 10.1061/(ASCE)0733-9410(1985)111: 10(1177).