An Extension of the Wen-Jones Model for Thin Metal Plates Struck Transversely by Flat-Ended Projectiles
doi: 10.11858/gywlxb.2014.04.014
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摘要: 针对平头弹丸穿透固支圆形金属薄靶问题, 对Wen-Jones模型进行了推广应用。根据前人的研究成果, 提出了等效应变失效准则, 以预测金属薄靶的穿透。与实验数据的对比表明, 新模型的预测结果与有关低碳钢和铝合金的实验结果相吻合。尽管新模型与Wen-Jones模型采用的破坏准则不同, 但是两者的预测结果相近。分析发现, 当靶板材料的延性足够大时, Wen-Jones模型可看作是新模型的一种特殊情况。Abstract: An extension of the Wen-Jones model for the perforation of fully-clamped circular thin metal plates struck transversely by flat-faced projectiles at the center was made.Based on previous studies, an effective strain failure criterion was suggested to predict the perforation of the thin metal plates.It is shown that the present model predictions are in good agreement with available experimental data for mild steel plates as well as aluminum alloy targets.The present model and the Wen-Jones model produced similar results although they are constructed using different failure criteria, which indicates that the Wen-Jones model can be seen as a special case of the present model when the ductility of plate is large enough.
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Figure 3. Comparison between the theoretical predictions and the experimental data for fully-clamped circular mild steel plates[1]
Figure 4. Comparison between the theoretical predictions and the test data for St52-3N square mild steel plates[17]
Figure 5. Comparison between the theoretical predictions and the experimental data for clamped circular aluminum alloy plates[1]
Figure 6. Comparison between the model predictions and the experimental data for fully-clamped circular BSL157-T6 aluminum alloy plates[6]
Table 1. Values of parameters for the mild steel plates[1]
Projectile Plates mp/(g) d/(mm) H/(mm) σy/(MPa) σu/(MPa) ef R/(mm) n D/(s-1) q 34.6 12.5 1.3 220 315 1.05 120 0.25 40.4 5 1.9 300 360 2.7 270 350 3.0 270 350 5.0 220 335 6.4 362 500 Table 2. Values of parameters for the St52-3N mild steel plates[17]
Projectile Plates mp/(kg) d/(mm) H/(mm) σy/(MPa) σu/(MPa) ef R/(mm) n D/(s-1) q 49.54 36.5 4 393 502 1.05 258 0.25 40.4 5 6 371 495 8 394 532 10 358 496 Table 3. Values of parameters for the aluminum alloy plate [1]
Projectile Plate mp/(g) d/(mm) σy/(MPa) σu/(MPa) ef R/(mm) n D/(s-1) q 34.5 12.5 460 480 0.25 120 0.2 6 500 4 Table 4. Values of parameters for BSL157-T6 aluminum alloy plate [6]
Projectile Plates mp/(g) d/(mm) H/(mm) σy/(MPa) σu/(MPa) ef R/(mm) n D/(s-1) q 5.6 2.54 2 455 497 0.25 101.6 0.2 6 500 4 5 8 -
[1] Corran R S J, Shadbolt P J, Ruiz C.Impact loading of plates: An experimental investigation [J].Int J Impact Eng, 1983, 1(1): 3-22.. [2] Corran R S J, Shadbolt P J, Ruiz C. Impact loading of plates: An experimental investigation[J]. Int J Impact Eng, 1983, 1(1): 3-22. doi: 10.1016/0734-743X(83)90010-6 [3] Radin J, Goldsmith W. Normal projectile penetration and perforation of layered targets[J]. Int J Impact Eng, 1988, 7(2): 229-259. doi: 10.1016/0734-743X(88)90028-0 [4] Børvik T, Hopperstad O S, Langseth M, et al. Effect of target thickness in blunt projectile penetration of Weldox 460 E steel plates[J]. Int J Impact Eng, 2003, 28(4): 413-464. doi: 10.1016/S0734-743X(02)00072-6 [5] Grytten F, Børvik T, Hopperstad O S, et al. Low velocity perforation of AA5083-H116 aluminium plates[J]. Int J Impact Eng, 2009, 36(4): 597-610. doi: 10.1016/j.ijimpeng.2008.09.002 [6] Gupta N K, Iqbal M A, Sekhon G S. Effect of projectile nose shape, impact velocity and target thickness on deformation behavior of aluminum plates[J]. Int J Solids Struct, 2007, 44(10): 3411-3439. doi: 10.1016/j.ijsolstr.2006.09.034 [7] Wen H M, Jones N. Experimental investigation into the dynamic plastic response and perforation of a clamped circular plate struck transversely by a mass[J]. J Mech Eng Sci, 1994, 208(2): 113-137. doi: 10.1243/PIME_PROC_1994_208_107_02 [8] Awerbuch J, Bodner S R. Analysis of the mechanics of perforation of projectiles in metallic plates[J]. Int J Solids Struct, 1974, 10(6): 671-684. doi: 10.1016/0020-7683(74)90050-X [9] Liss J, Goldsmith W, Kelly J M. A phenomenological penetration model of plates[J]. Int J Impact Eng, 1983, 1(4): 321-341. doi: 10.1016/0734-743X(83)90027-1 [10] Bai Y L, Johnson W. Plugging: Physical understanding and energy absorption[J]. Met Technol, 1982, 9(1): 182-190. [11] Wen H M, Jones N. Low-velocity perforation of punch-impact-loaded metal plates[J]. J Pressure Vessel Technol, 1996, 118(2): 181-187. doi: 10.1115/1.2842178 [12] 潘建华, 文鹤鸣.平头弹丸正撞击下延性金属靶板的破坏模式[J].高压物理学报, 2007, 21(2): 157-164.Pan J H, Wen H M. Failure modes of ductile metal plates under normal impact by flat-ended projectiles[J]. Chinese Journal of High Pressure Physics, 2007, 21(2): 157-164. (in Chinese) [13] Wen H M, Sun W H. Transition of plugging failure modes for ductile metal plates under impact by flat-nosed projectiles[J]. Mech Based Des Struct Mach, 2010, 38(1): 86-104. doi: 10.1080/15397730903415892 [14] Jones N, Paik J K. Impact perforation of aluminium alloy plates[J]. Int J Impact Eng, 2012, 48: 46-53. doi: 10.1016/j.ijimpeng.2011.05.007 [15] Wen H M, Reddy T Y, Reid S R. Deformation and failure of clamped beams under low speed impact loading[J]. Int J Impact Eng, 1995, 16(3): 435-454. doi: 10.1016/0734-743X(94)00055-2 [16] Wen H M. A quasi-static procedure for predicting the deformation and failure of structure under intense dynamic loadings[C]//Lok T S, Hulme T, Lim C H. Proceedings of the International Conference on Protection of Structures against Hazards. Singapore, 2002: 101-112. [17] Jones N. Structural Impact[M]. Cambridge, UK: Cambridge University Press, 1989. [18] Langseth M, Larsen P K. Dropped objects' plugging capacity of steel plates: An experimental investigation[J]. Int J Impact Eng, 1990, 9(3): 289-316. doi: 10.1016/0734-743X(90)90004-F