EXPERIMENTAL STUDY OF THE HIGH VELOCITY EXPANSION AND FRAGMENTATION OF PMMA RINGS

Li Tianmi; Zhang Jia; Fang Jisong; Liu Lizhi; Zheng Yuxuan; Zhou Fenghua

doi:10.6052/0459-1879-18-016

Volume 50 Issue 4

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Chinese Journal of Theoretical and Applied Mechanics > 2018 > 50(4): 820-827. > DOI: 10.6052/0459-1879-18-016 CSTR: 32045.14.0459-1879-18-016

Li Tianmi, Zhang Jia, Fang Jisong, Liu Lizhi, Zheng Yuxuan, Zhou Fenghua. EXPERIMENTAL STUDY OF THE HIGH VELOCITY EXPANSION AND FRAGMENTATION OF PMMA RINGS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(4): 820-827. DOI: 10.6052/0459-1879-18-016

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EXPERIMENTAL STUDY OF THE HIGH VELOCITY EXPANSION AND FRAGMENTATION OF PMMA RINGS

MOE Key Laboratory of Impact and Safety Engineering, Ningbo University, Ningbo 315211, Zhejiang, China

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The dynamic fracture and fragmentation of brittle solids under impact loading are important research subjects. However, the experimental study on the tensile fracture and fragmentation of brittle solids is relatively limited. A technique using liquid-driving expansion ring setup was developed for the dynamic tensile fracture and fragmentation testing of brittle materials. This technique was used to study the fragmentation properties of PMMA rings at different expansion velocities. From the observations of the fracture morphology and the residual internal cracks of the recovered fragments, it is concluded that the fracture of the rings is caused by the circumferential tensile stress. The unloading stress waves from the fracture points of the fragments inhibit the further development of other cracks close to the fracture points by unloading the tensile stress in the tension regions. The PMMA ring expansion process was captured using ultrahigh speed camera. The specimen surface expansion velocity was measured using laser interference device DISAR (displacement interferometer system for any reflector). The strain history and fracture strain of ring were captured using the strain gauge on the specimen. Preliminary experimental results conducted on PMMA rings show that: (1) In the range of tensile strain rate $150 ~ 500 s^{- 1}$ , the dynamic failure strain of PMMA is lower than that under the quasi-static tensile loading, which means that PMMA became brittle under higher strain rate loading; (2) Higher loading rates resulted in the more fragments and the smaller size of the PMMA rings; (3) The “non-dimensional fragment size vs. strain rate” data fall between the theoretical fragmentation predictions for ductile material and brittle material.
- PMMA,
- liquid-driven expanding ring,
- high rate tension,
- fragment size,
- brittle fracture

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[1]	Grady DE.Fragmentation of Rings and Shells. The Legacy of N.F.Mott. Springer, 2006
[2]	Grady DE.Local inertial effects in dynamic fragmentation.Journal of Applied Physics, 1982, 53(1): 322-325
[3]	郑宇轩,周风华,胡时胜等. 固体的冲击拉伸碎裂. 力学进展, 2016, 46: 506-540
[3]	( Zheng Yuxuan, Zhou Fenghua, Hu Shisheng, et al.Solid impact tensile fracture.Progress in Mechanics, 2016, 46: 506-540 (in Chinese))
[4]	郑宇轩,周风华,余同希.动态碎裂过程中的最快速卸载现象. 中国科学: 技术科学, 2016, 46: 332-338
[4]	(Zheng Yuxuan, Zhou Fenghua, Yu Tongxi.The fastest unloading phenomenon in the process of dynamic fragmentation.Sci Sin Tech, 2016, 46: 332-338 (in Chinese))
[5]	Zhang H, Ravi-Chandar K.On the dynamics of necking and fragmentation - I. Real-time and post-mortem observations in Al 6061-O.International Journal of Fracture, 2007, 142(3): 183-217
[6]	郑宇轩, 胡时胜, 周风华. 韧性材料的高应变率拉伸碎裂过程及材料参数影响. 固体力学学报, 2012, 33(4): 358-369
[6]	(Zheng Yuxuan, Hu Shisheng, Zhou Fenghua.High strain rate tensile fracture process of ductile materials and the influence of material parameters.Journal of Solid Mechanics, 2012, 33(4): 358-369 (in Chinese))
[7]	Zhou F, Molinari JF, Ramesh KT.Effects of material properties on the fragmentation of brittle materials.International Journal of Fracture, 2006, 139(2): 169-196
[8]	Niordson FI.A unit for testing materials at high strain rates.Experimental Mechanics, 1965, 5(1): 29-32
[9]	Johnson PC, Stein BA, Davh RS.Measurement of dynamic plastic flow properties under uniform stress//Symposium on the Dynamic Behavior of Materials: ASTM Special Publication. 1963
[10]	汤铁钢, 刘仓理. 一种新型爆炸膨胀环实验装置. 实验力学, 2013, 28(2): 247-254
[10]	(Tang Tiegang, Liu Cangli.A novel experimental setup for explosively loaded expanding ring test.Journal of Experimental Mechanics, 2013, 28(2): 247-254 (in Chinese))
[11]	桂毓林, 孙承纬, 李强等. 实现金属环动态拉伸的电磁加载技术研究. 爆炸与冲击, 2006, 26(6): 28-28
[11]	(Gui Yulin, Sun Chengwei, Li Qiang, Study on electromagnetic loading technology to realize dynamic tensile of metal ring.Explosion and Shock Waves, 2006, 26(6): 28-28 (in Chinese))
[12]	王永刚, 周风华. 径向膨胀<inline-formula><mml:math xmlns=" http://www.w3.org/1998/Math/MathML" target="_blank"> http://www.w3.org/1998/Math/MathML" id="Mml44-0459-1879-50-4-820"><mml:mi mathvariant="normal">A</mml:mi><mml:msub><mml:mrow><mml:mi>l</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula>陶瓷环动态拉伸破碎的实验研究. 固体力学学报, 2008, 29(3): 245-249
[12]	(Wang Yonggang, Zhou Fenghua.Experimental study on the dynamic tensile fragmentations of <inline-formula><mml:math xmlns=" http://www.w3.org/1998/Math/MathML" target="_blank"> http://www.w3.org/1998/Math/MathML" id="Mml45-0459-1879-50-4-820"><mml:mi mathvariant="normal">A</mml:mi><mml:msub><mml:mrow><mml:mi>l</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> rings under radial expansion.Chinese Journal of Solid Mechanics, 2008, 29(3): 245-249 (in Chinese))
[13]	郑宇轩, 周风华, 胡时胜. 一种基于SHPB的冲击膨胀环实验技术. 爆炸与冲击, 2014, 34(4): 483-488
[13]	(Zhen Yuxuan, Zhou Fenghua., Hu Shisheng.An SHPB-based experimental technique for dynamic fragmentations of expanding rings.Explosion and Shock Waves, 2014, 34(4): 483-488 (in Chinese))
[14]	张佳, 郑宇轩, 周风华. 立式液压膨胀环实验技术研究. 宁波大学学报: 理工版, 2017, 30(2): 35-38
[14]	(Zhang Jia, Zheng Yuxuan, Zhou Fenghua.Experimental technique for fragmentation of liquid-driven expanding ring.Journal of Ningbo University(Natural Science and Engineering Edition), 2017, 30(2): 35-38 (in Chinese))
[15]	熊迅等. 石英玻璃圆环高速膨胀碎裂过程的离散元模拟. 力学学报, 2018, 50(3):
[15]	(Xiong Xunet al. Discrete element simulation of high velocity expansion and fragmentation process of quartz glass ring.Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(3): (in Chinese))
[16]	有机玻璃疲劳和断口图谱编委会. 有机玻璃疲劳和断口图谱. 北京: 科学出版社, 1987: 62-65
[16]	(Polymethyl Methacrylate Tiredness and Fracture Map Editorial Board . Polymethyl Methacrylate Fatigue and Fracture Map. Beijing: Science Press, 1987: 62-65 (in Chinese))
[17]	Zhou F, Molinari JF, Shioya T.A rate-dependent cohesive model for simulating dynamic crack propagation in brittle materials.Engineering Fracture Mechanics, 2005, 72(9): 1383-1410
[18]	张振亚, 周风华. 脆性PMMA带板中的动态裂纹传播实验. 实验力学, 2012, 27(4): 401-407
[18]	(Zhang Zhenya, Zhou Fenghua.Experiment of dynamic crack propagation in brittle PMMA strip.Journal of Experimental Mechanics, 2012, 27(4): 401-407 (in Chinese))
[19]	张振亚, 段忠, 周风华. 脆性裂纹动态传播中的速度振荡现象和理论分析. 力学学报, 2013, 45(5): 729-738
[19]	(Zhang Zhenya, Duan Zhong, Zhou Fenghua.Experimental and theoretical investigation on the velocity oscillations of dynamic crack propagating in brittle material tension,Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(5): 729-738 (in Chinese))
[20]	汪洋, 夏源明. PMMA断裂韧度尺寸相关性的实验研究. 四川大学学报(工程科学版), 2006, 38(4): 49-52
[20]	(Wang Yang, Xia Yuanming.Experimental study on the correlation of PMMA fracture toughness size.Journal of Sichuan University (Engineering Science Edition), 2006, 38(4): 49-52 (in Chinese))

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