Study on the scaling law of geometrically-distorted thin-walled cylindrical shells subjected to axial impact

YANG Leifeng; CHANG Xinzhe; XU Fei; WANG Shuai; LIU Xiaochuan; XI Xulong; LI Xiaocheng

doi:10.11883/bzycj-2021-0452

Volume 42 Issue 5

May 2022

Turn off MathJax

Article Contents

Abstract

References

Article Navigation > Explosion And Shock Waves > 2022 > 42(5): 053205

XU Linfeng, CHEN Li, LI Zhan, YUE Chengjun. Experimental and analytical study on blast resistance performance of brick infill walls strengthened with polyuria[J]. Explosion And Shock Waves, 2022, 42(7): 075102. doi: 10.11883/bzycj-2021-0332

Citation:

YANG Leifeng, CHANG Xinzhe, XU Fei, WANG Shuai, LIU Xiaochuan, XI Xulong, LI Xiaocheng. Study on the scaling law of geometrically-distorted thin-walled cylindrical shells subjected to axial impact[J]. Explosion And Shock Waves, 2022, 42(5): 053205. doi: 10.11883/bzycj-2021-0452

Citation:

PDF( 1336 KB)

Study on the scaling law of geometrically-distorted thin-walled cylindrical shells subjected to axial impact

doi: 10.11883/bzycj-2021-0452

1.
Institute for Computational Mechanics and Its Applications, School of Aeronautics, Northwestern Polytechnical University, Xi’an 710072, Shaanxi, China
2.
Aviation Key Laboratory of Science and Technology on Structures Impact Dynamics, Aircraft Strength Research Institute of China, Xi’an 710065, Shaanxi, China

Received Date: 2021-11-02
Rev Recd Date: 2022-01-04

Available Online: 2022-04-24

Publish Date: 2022-05-27

Abstract

Abstract

In scaling the dynamic responses of thin-walled cylindrical shells subjected to axial impact loading, the thickness cannot be adjusted according to the same scale as the radius and height due to the thin wall characteristics. Hence, geometrically-distorted models would be used, and the traditional scaling law cannot describe the relationship between the dynamic responses of the prototype and the geometrically-distorted model. In this paper, the scaling law for this case was derived for elastic-ideal plastic thin-walled cylindrical shells under axial impact loading. For strain hardening and strain-rate hardening material, based on the average load, deformation energy, and displacement of the shell in the axisymmetric deformation mode, the dimensionless numbers of three key design parameters, namely the stress, mass, and displacement, were obtained through the law of energy conservation. Then, the optimal approximation of the flow stress predicted by the distorted scaled model to the flow stress of the prototype was established on a given strain and strain rate interval. In this way, the derived scaling law can be applied to the case considering the coupling effects of geometric distortion, strain-rate sensitivity, and strain hardening. Finally, several finite element models of thin-walled cylindrical shell models subject to axial mass impact were established. These models use the elastic-ideal plastic material model and the general material model with strain-rate hardening and strain hardening effects. The modified impact velocity and impact mass were obtained by the present method using the geometrically-distorted model, which verified the effectiveness and correctness of the proposed scaling law. The results show that the geometrically distorted model corrected by the method proposed in this article can quite accurately predict the dynamic responses of the prototype, and significantly reduce the errors in the dynamic responses of the thin-walled cylindrical shell subjected to axial impact loading, especially the average load and deformation energy.
- thin-walled cylindrical shell,
- strain-rate sensitivity,
- strain hardening,
- geometric distortion,
- scaling law

FullText(HTML)

References(24)

References

[1]	JONES N. Structural impact [M]. 2nd ed. New York: Cambridge University Press, 2012.
[2]	徐海斌, 张德志, 谭书舜, 等. 轴向压缩的金属薄壁圆管相似律的实验研究 [C] // 第20届全国结构工程学术会议论文集. 浙江宁波: 中国力学学会工程力学编辑部, 2011: 554–559.
[3]	ALEXANDER J M. An approximate analysis of the collapse of thin cylindrical shells under axial loading [J]. The Quarterly Journal of Mechanics and Applied Mathematics, 1960, 13(1): 10–15. DOI: 10.1093/qjmam/13.1.10.
[4]	ABRAMOWICZ W, JONES N. Dynamic axial crushing of circular tubes [J]. International Journal of Impact Engineering, 1984, 2(3): 263–281. DOI: 10.1016/0734-743X(84)90010-1.
[5]	KARAGIOZOVA D, JONES N. Influence of stress waves on the dynamic progressive and dynamic plastic buckling of cylindrical shells [J]. International Journal of Solids and Structures, 2001, 38(38/39): 6723–6749. DOI: 10.1016/S0020-7683(01)00111-1.
[6]	KARAGIOZOVA D, NURICK G N, YUEN S C K. Energy absorption of aluminium alloy circular and square tubes under an axial explosive load [J]. Thin-Walled Structures, 2005, 43(6): 956–982. DOI: 10.1016/j.tws.2004.11.002.
[7]	LU G, YU J L, ZHANG J J, et al. Alexander revisited: upper- and lower-bound approaches for axial crushing of a circular tube [J]. International Journal of Mechanical Sciences, 2021, 206: 106610. DOI: 10.1016/j.ijmecsci.2021.106610.
[8]	CASABURO A, PETRONE G, FRANCO F, et al. A review of similitude methods for structural engineering [J]. Applied Mechanics Reviews, 2019, 71(3): 030802. DOI: 10.1115/1.4043787.
[9]	COUTINHO C P, BAPTISTA A J, RODRIGUES J D. Reduced scale models based on similitude theory: a review up to 2015 [J]. Engineering Structures, 2016, 119: 81–94. DOI: 10.1016/j.engstruct.2016.04.016.
[10]	OSHIRO R E, ALVES M. Scaling impacted structures [J]. Archive of Applied Mechanics, 2004, 74(1/2): 130–145. DOI: 10.1007/BF02637214.
[11]	OSHIRO R E, ALVES M. Scaling of cylindrical shells under axial impact [J]. International Journal of Impact Engineering, 2007, 34(1): 89–103. DOI: 10.1016/j.ijimpeng.2006.02.003.
[12]	王帅, 徐绯, 代震, 等. 结构冲击畸变问题的直接相似方法研究 [J]. 力学学报, 2020, 52(3): 774–786. DOI: 10.6052/0459-1879-19-327. WANG S, XU F, DAI Z, et al. A direct scaling method for the distortion problems of structural impact [J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(3): 774–786. DOI: 10.6052/0459-1879-19-327.
[13]	WANG S, XU F, ZHANG X Y, et al. Material similarity of scaled models [J]. International Journal of Impact Engineering, 2021, 156: 103951. DOI: 10.1016/j.ijimpeng.2021.103951.
[14]	李肖成, 徐绯, 杨磊峰, 等. 薄板在冲击载荷下线弹性理想塑性响应的相似性研究 [J]. 爆炸与冲击, 2021, 41(11): 113103. DOI: 10.11883/bzycj-2020-0374. LI X C, XU F, YANG L F, et al. Study on the similarity of elasticity and ideal plasticity response of thin plate under impact loading [J]. Explosion and Shock Waves, 2021, 41(11): 113103. DOI: 10.11883/bzycj-2020-0374.
[15]	秦健, 张振华. 原型和模型不同材料时加筋板冲击动态响应的相似预报方法 [J]. 爆炸与冲击, 2010, 30(5): 511–516. DOI: 10.11883/1001-1455(2010)05-0511-06. QIN J, ZHANG Z H. A scaling method for predicting dynamic responses of stiffened plates made of materials different from experimental models [J]. Explosion and Shock Waves, 2010, 30(5): 511–516. DOI: 10.11883/1001-1455(2010)05-0511-06.
[16]	ALVES M, OSHIRO R E, CALLE M A G, et al. Scaling and structural impact [J]. Procedia Engineering, 2017, 173: 391–396. DOI: 10.1016/j.proeng.2016.12.036.
[17]	MAZZARIOL L M, ALVES M. Similarity laws of structures under impact load: geometric and material distortion [J]. International Journal of Mechanical Sciences, 2019, 157/158: 633–647. DOI: 10.1016/j.ijmecsci.2019.05.011.
[18]	WANG S, XU F, DAI Z. Suggestion of the DLV dimensionless number system to represent the scaled behavior of structures under impact loads [J]. Archive of Applied Mechanics, 2020, 90(4): 707–719. DOI: 10.1007/s00419-019-01635-9.
[19]	WANG S, XU F, ZHANG X Y, et al. A directional framework of similarity laws for geometrically distorted structures subjected to impact loads [J]. International Journal of Impact Engineering, 2022, 161: 104092. DOI: 10.1016/j.ijimpeng.2021.104092.
[20]	李志斌, 虞吉林, 郑志军, 等. 薄壁管及其泡沫金属填充结构耐撞性的实验研究 [J]. 实验力学, 2012, 27(1): 77–86. LI Z B, YU J L, ZHENG Z J, et al. An experimental study on the crashworthiness of thin-walled tubes and their metallic foam-filled structures [J]. Journal of Experimental Mechanics, 2012, 27(1): 77–86.
[21]	朱文波, 杨黎明, 余同希. 薄壁圆管轴向冲击下的动态特性研究 [J]. 宁波大学学报(理工版), 2014, 27(2): 92–96. ZHU W B, YANG L M, YU T X. Study on dynamic properties of thin-walled circular tubes under axial compression [J]. Journal of Ningbo University (Natural Science & Engineering Edition), 2014, 27(2): 92–96.
[22]	余同希, 卢国兴, 张雄. 能量吸收: 结构与材料的力学行为和塑性分析 [M]. 北京: 科学出版社, 2019.
[23]	白以龙, 黄筑平, 虞吉林, 等. 材料和结构的动态响应 [M]. 合肥: 中国科学技术大学出版社, 2005.
[24]	JOHNSON G R, COOK W H. A constitutive model and data for metals subjected to large strains, high strain rates and high temperatures [C] // Proceedings of the 7th International Symposium on Ballistics. Hague, Netherlands, 1983: 541–547.

Relative Articles

[1]	CHEN Nengxiang, ZHONG Wei, WANG Shufei, YANG Shanglin, TIAN Zhou, OU Xiang, HUANG Huaiwei, YAO Xiaohu. Study on geometric similarity law of steel frame under a far-field explosion load[J]. Explosion And Shock Waves, 2023, 43(1): 013101. doi: 10.11883/bzycj-2021-0498
[2]	NIU Huanhuan, YAN Xiaopeng, LUO Haoshun, CHEN Jiajun, LI Zhiqiang. Mechanical response of sapphire transparent ceramic glass at different strain rates[J]. Explosion And Shock Waves, 2022, 42(7): 073105. doi: 10.11883/bzycj-2021-0434
[3]	LIU Feng, LI Qingming. Stain-rate effects on the dynamic compressive strength of concrete-like materials under multiple stress state[J]. Explosion And Shock Waves, 2022, 42(9): 091408. doi: 10.11883/bzycj-2022-0037
[4]	YUAN Liangzhu, MIAO Chunhe, SHAN Junfang, WANG Pengfei, XU Songlin. On strain-rate and inertia effects of concrete samples under impact[J]. Explosion And Shock Waves, 2022, 42(1): 013101. doi: 10.11883/bzycj-2021-0114
[5]	MA Yan, YUAN Fuping, WU Xiaolei. Dynamic shear behaviors and microstructural deformation mechanisms in FeNiAlC dual-phase high strength alloy[J]. Explosion And Shock Waves, 2021, 41(1): 011404. doi: 10.11883/bzycj-2020-0224
[6]	DONG Kai, REN Huiqi, RUAN Wenjun, NING Huijun, GUO Ruiqi, HUANG Kui. Study on strain rate effect of coral sand[J]. Explosion And Shock Waves, 2020, 40(9): 093102. doi: 10.11883/bzycj-2019-0432
[7]	WEN Zhu, QIU Yanyu, ZI Min, ZHAO Zhangyong, WANG Mingyang. Experimental study on quasi-one-dimensional strain compression of calcareous sand[J]. Explosion And Shock Waves, 2019, 39(3): 033101. doi: 10.11883/bzycj-2018-0015
[8]	HU Liangliang, HUANG Ruiyuan, GAO Guangfa, JIANG Dong, LI Yongchi. A novel method for determining strain rate of concrete-like materials in SHPB experiment[J]. Explosion And Shock Waves, 2019, 39(6): 063102. doi: 10.11883/bzycj-2018-0142
[9]	WANG Zhen, ZHANG Chao, WANG Yinmao, WANG Xiang, SUO Tao. Mechanical behaviours of aeronautical inorganic glass at different strain rates[J]. Explosion And Shock Waves, 2018, 38(2): 295-301. doi: 10.11883/bzycj-2016-0186
[10]	Xi Xulong, Bai Chunyu, Liu Xiaochuan, Mu Rangke, Wang Jizhen. Dynamic mechanical properties of 2A16-T4 aluminum alloy at wide-ranging strain rates[J]. Explosion And Shock Waves, 2017, 37(5): 871-878. doi: 10.11883/1001-1455(2017)05-0871-08
[11]	Luo Xin, Xu Jin-yu, Bai Er-lei, Li Wei-min. Comparative study of the effect of the type of alkali on the strain rate effect of geopolymer concrete[J]. Explosion And Shock Waves, 2014, 34(3): 340-346. doi: 10.11883/1001-1455(2014)03-0340-07
[12]	Tan Li-hui, Xu Tao, Cui Xiao-mei, Zhang Wei, Zhao Shi-jia. Design optimization for crashworthiness of metal thin-walled cylinders with circular arc indentations[J]. Explosion And Shock Waves, 2014, 34(5): 547-553. doi: 10.11883/1001-1455(2014)05-0547-07
[13]	XIE Zhong-you, YU Ji-lin, ZHENG Zhi-jun. Bendingbehaviorofthin-walledcylindricaltubesfilledwithmetallicfoam underlow-velocityimpac[J]. Explosion And Shock Waves, 2012, 32(2): 169-173. doi: 10.11883/1001-1455(2012)02-0169-05
[14]	XI Feng, ZHANG Yun. Theeffectsofstrainrateonthedynamicresponseandabnormalbehavior ofsteelbeamsunderpulseloading[J]. Explosion And Shock Waves, 2012, 32(1): 34-42. doi: 10.11883/1001-1455(2012)01-0034-09
[15]	SHEN Yan-ming, CHEN Jian-qiang. Numericallysimulatingverificationofthecomparabilityrule onhypervelocityimpact[J]. Explosion And Shock Waves, 2011, 31(4): 343-348. doi: 10.11883/1001-1455(2011)04-0343-06
[16]	YIN Zhi-ping, LI Yu-long, HUANG Qi-qing. Optimalcrashworthinessdesignofthin-walledcirculartubes withtriggeringholes[J]. Explosion And Shock Waves, 2011, 31(4): 418-422. doi: 10.11883/1001-1455(2011)04-0418-05
[17]	YAN Cheng, OU Zhuo-cheng, DUAN Zhuo-ping, HUANG Feng-lei. Strain-rateeffectsondynamicstrengthofbrittlematerials[J]. Explosion And Shock Waves, 2011, 31(4): 423-427. doi: 10.11883/1001-1455(2011)04-0423-05
[18]	QIN Jian, ZHANG Zhen-hua. Ascalingmethodforpredictingdynamicresponsesofstiffenedplates madeofmaterialsdifferentfromexperimentalmodels[J]. Explosion And Shock Waves, 2010, 30(5): 511-516. doi: 10.11883/1001-1455(2010)05-0511-06
[19]	TANG Tie-gang, LI Qing-zhong, SUN Xue-lin, SUN Zhan-feng, JIN Shan, GU Yan. Strain-rate effects of expanding fracture of 45 steel cylinder shells driven by detonation[J]. Explosion And Shock Waves, 2006, 26(2): 129-133. doi: 10.11883/1001-1455(2006)02-0129-05
[20]	LI Yu-long, SUO Tao, GUO Wei-guo, HU Rui, LI Jin-shan, FU Heng-zhi. Determination of dynamic behavior of materials at elevated temperatures and high strain rates using Hopkinson bar[J]. Explosion And Shock Waves, 2005, 25(6): 487-492. doi: 10.11883/1001-1455(2005)06-0487-06