Breaking mechanisms of brittle hollow particles under impact loading

FAN Zhiqiang; HE Tianming; LIU Yingbin; SUO Tao; XU Peng

doi:10.11883/bzycj-2020-0247

Volume 41 Issue 7

Jul. 2021

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FAN Zhiqiang, HE Tianming, LIU Yingbin, SUO Tao, XU Peng. Breaking mechanisms of brittle hollow particles under impact loading[J]. Explosion And Shock Waves, 2021, 41(7): 073302. doi: 10.11883/bzycj-2020-0247

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FAN Zhiqiang, HE Tianming, LIU Yingbin, SUO Tao, XU Peng. Breaking mechanisms of brittle hollow particles under impact loading[J]. Explosion And Shock Waves, 2021, 41(7): 073302. doi: 10.11883/bzycj-2020-0247

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Breaking mechanisms of brittle hollow particles under impact loading

doi: 10.11883/bzycj-2020-0247

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

Received Date: 2020-07-17
Rev Recd Date: 2020-09-09

Available Online: 2021-06-30

Publish Date: 2021-07-05

Abstract

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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[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).