Investigation into anti-penetration analytical model of composite sandwich structure with UHMWPE laminate under high speed impact of cylindrical projectile

Wenxi DAI; Wei XIE; Pengcheng HU; Yuansheng CHENG; Pan ZHANG; Decong LI

doi:10.19693/j.issn.1673-3185.03692

Chinese Journal of Ship Research, Volume. 20, Issue 3, 137(2025)

Investigation into anti-penetration analytical model of composite sandwich structure with UHMWPE laminate under high speed impact of cylindrical projectile

Wenxi DAI¹, Wei XIE¹, Pengcheng HU², Yuansheng CHENG², Pan ZHANG², and Decong LI¹

Author Affiliations

¹China Ship Development and Design Center, Wuhan 430064, China

²School of Naval Architectureand Ocean Engineering, Huazhong University of Science and Technology, Wuhan 430074, China

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Abstract Get PDF(in Chinese)

Figures & Tables(12)

Fig. 1. [in Chinese]

Fig. 2. [in Chinese]

Fig. 3. [in Chinese]

Fig. 4. [in Chinese]

Fig. 5. [in Chinese]

Fig. 6. [in Chinese]

Fig. 7. [in Chinese]

Table 1. The material parameters of cylindrical projectile
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Table 1. The material parameters of cylindrical projectile
参数名称数值
弹体材料 35CrMnSiA
密度/（g·cm⁻³） 7.85
泊松比 0.33
弹性模量/GPa 210
屈服极限/MPa 1 280
抗拉强度/MPa 1 650
延伸率/% 9

Table 2. Front and back steels material parameters
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Table 2. Front and back steels material parameters
参数名称数值
前/后置钢板材料低碳钢
密度/（g·cm⁻³） 7.83
泊松比 0.33
弹性模量/GPa 210
屈服极限/MPa 692

Table 3. Upsetting coefficients of 40 g cylindrical projectiles impacting 5−12 mm steels
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Table 3. Upsetting coefficients of 40 g cylindrical projectiles impacting 5−12 mm steels
低碳钢板厚度 /mm 镦粗系数
5 1.100
10 1.200
8 1.158
12 1.235

Table 4. Parmeters of theoretical model about UHMWPE composite sandwich structure anti-penetration

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Table 4. Parmeters of theoretical model about UHMWPE composite sandwich structure anti-penetration

参数	数值
柱状弹质量$ {m}_{\mathrm{P}} $/kg	0.040
柱状弹半径$ {r}_{\mathrm{P}} $/mm	6.4
柱状弹密度$ {\rho }_{\mathrm{P}} $/(kg·m−3)	7 850
柱状弹的弹性模量$ {E}_{\mathrm{P}} $/GPa	210
前置钢板密度$ {\rho }_{\mathrm{t}1} $/(kg·m−3)	7 830
后置钢板密度$ {\rho }_{\mathrm{t}3} $/(kg·m−3)	7 830
前置钢板弹性模量$ {E}_{\mathrm{t}1} $/GPa	210
层合板密度$ {\rho }_{\mathrm{t}2} $/(kg·m−3)	980
前置钢板厚度$ {t}_{1} $/mm	5
层合板厚度$ {t}_{2} $/mm	75
后置钢板厚度$ {t}_{3} $/mm	10
钢板动态剪切强度$ \tau $/MPa	799.1
层合板厚度方向的等效剪切强度$ {\tau }_{\mathrm{m}\mathrm{a}\mathrm{x}} $/MPa	560
剪切冲塞比值K	0.6
鼓包半径与柱状弹半径的比值$ \beta $	1.4
纤维弹性模量$ {E}_{\mathrm{f}} $/GPa	131
纤维体积分数$ {v}_{\mathrm{f}} $	0.83
纤维失效应变$ {\varepsilon }_{\mathrm{m}\mathrm{a}\mathrm{x}} $	0.02

Table 5. The contrastive result of ballistic limits between theory values considering the upsetting of cylindrical projectiles or not and simulation values

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Table 5. The contrastive result of ballistic limits between theory values considering the upsetting of cylindrical projectiles or not and simulation values

样本序号	前置钢板厚度/ mm	后置钢板厚度/ mm	高强聚乙烯层合板厚度/ mm	数值预报值/(m·s⁻¹)	忽略柱状弹镦粗的理论分析模型		考虑柱状弹镦粗的理论分析模型
样本序号	前置钢板厚度/ mm	后置钢板厚度/ mm	高强聚乙烯层合板厚度/ mm	数值预报值/(m·s⁻¹)	理论预报值/(m·s⁻¹)	与数值预报值的误差/%	理论预报值/(m·s⁻¹)	与数值预报值的误差/%
1	5	5	40	934.2	932.8	0.15	962.7	3.05
2	5	5	70	1284.6	1295.8	0.87	1337.7	4.13
3	5	5	90	1548.6	1564.8	1.05	1615.3	4.31
4	5	5	120	1759.0	1986.9	12.96	2050.8	16.59
5	5	8	40	1017.0	965.3	5.08	993.2	2.34
6	5	8	70	1425.2	1319.4	7.42	1367.5	4.05
7	5	8	90	1669.2	1584.4	5.08	1640.1	1.74
8	5	8	120	1856.8	2002.3	7.84	2070.4	11.50
9	5	12	40	1245.8	1042.0	16.36	1099.1	11.78
10	5	12	70	1569.1	1376.5	12.27	1439.0	8.29
11	5	12	90	1787.6	1632.2	8.69	1700.2	4.89
12	5	12	120	2160.6	2040.4	5.56	2118.3	1.96
13	8	5	40	1096.2	1002.4	8.56	1068.9	2.49
14	8	5	70	1429.7	1366.7	4.41	1451.5	1.52
15	8	5	90	1622.9	1639.7	1.04	1738.6	7.13
16	8	5	120	2143.9	2070.7	3.41	2192.2	2.25
17	8	8	40	1222.0	1036.8	15.16	1118.9	8.44
18	8	8	70	1582.2	1392.1	12.01	1488.7	5.91
19	8	8	90	1733.4	1661.0	4.18	1769.7	2.09
20	8	8	120	2276.4	2087.6	8.29	2217.0	2.61
21	8	12	40	1374.8	1118.1	18.67	1234.6	10.20
22	8	12	70	1686.5	1453.7	13.80	1577.6	6.46
23	8	12	90	1920.0	1712.9	10.79	1845.1	3.90
24	8	12	120	2394.8	2129.1	11.09	2277.6	4.89
25	12	5	40	1399.0	1116.5	20.19	1267.6	9.39
26	12	5	70	1770.4	1477.0	16.57	1651.2	6.73
27	12	5	90	1974.4	1752.4	11.24	1946.6	1.41
28	12	5	120	2397.7	2191.7	8.59	2420.2	0.94
29	12	8	40	1477.6	1152.9	21.97	1330.8	9.94
30	12	8	70	1899.1	1504.7	20.77	1700.2	10.47
31	12	8	90	2180.5	1775.8	18.56	1988.3	8.81
32	12	8	120	2454.8	2210.4	9.96	2453.8	0.04
33	12	12	40	1587.3	1238.9	21.95	1476.5	6.98
34	12	12	70	2005.8	1571.6	21.65	1816.5	9.44
35	12	12	90	2271.7	1832.8	19.32	2088.6	8.06
36	12	12	120	2561.0	2256.5	11.89	2535.8	0.98

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Wenxi DAI, Wei XIE, Pengcheng HU, Yuansheng CHENG, Pan ZHANG, Decong LI. Investigation into anti-penetration analytical model of composite sandwich structure with UHMWPE laminate under high speed impact of cylindrical projectile[J]. Chinese Journal of Ship Research, 2025, 20(3): 137

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Paper Information

Category: Ship Structure and Fittings

Received: Dec. 21, 2023

Accepted: --

Published Online: Jul. 15, 2025

The Author Email:

DOI:10.19693/j.issn.1673-3185.03692

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. The material parameters of cylindrical projectile

Table 1. The material parameters of cylindrical projectile

Table 2. Front and back steels material parameters

Table 2. Front and back steels material parameters

Table 3. Upsetting coefficients of 40 g cylindrical projectiles impacting 5−12 mm steels

Table 3. Upsetting coefficients of 40 g cylindrical projectiles impacting 5−12 mm steels

Table 4. Parmeters of theoretical model about UHMWPE composite sandwich structure anti-penetration

Table 4. Parmeters of theoretical model about UHMWPE composite sandwich structure anti-penetration

Table 5. The contrastive result of ballistic limits between theory values considering the upsetting of cylindrical projectiles or not and simulation values

Table 5. The contrastive result of ballistic limits between theory values considering the upsetting of cylindrical projectiles or not and simulation values