空爆载荷下碳纤维梯形波纹夹芯结构响应分析

章帅帅; 刘均; 张攀; 程远胜

doi:10.19693/j.issn.1673-3185.02573

空爆载荷下碳纤维梯形波纹夹芯结构响应分析

doi: 10.19693/j.issn.1673-3185.02573

华中科技大学船舶与海洋工程学院，湖北武汉 430074

详细信息

作者简介:
章帅帅，男，1996年生，硕士生。研究方向：爆炸冲击动力学。E-mail：1944736757@qq.com

刘均，男，1981年生，博士，副教授。研究方向：结构分析与轻量化设计，结构振动与抗冲击分析。E-mail：hustlj@hust.edu.cn

张攀，男，1986年生，博士，副教授。研究方向：结构优化设计和抗爆抗冲击。E-mail：panzhang@hust.edu.cn

程远胜，男，1962年生，博士，教授，博士生导师。研究方向：船舶海洋结构优化设计。E-mail：yscheng@hust.edu.cn

通信作者:
刘均

中图分类号: U661.5；U668.5
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出版历程
- 收稿日期: 2021-10-26
- 修回日期: 2022-02-23
- 网络出版日期: 2023-03-31
- 刊出日期: 2023-04-28

Response of carbon fiber trapezoidal corrugated sandwich structure under air explosion loading

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

空爆载荷下碳纤维梯形波纹夹芯结构响应分析由章帅帅，等创作，采用知识共享署名4.0国际许可协议进行许可。

摘要

摘要: 目的研究迎爆面和背爆面面板厚度、壁板折角以及芯层高度对碳纤维增强复合材料梯形波纹夹层结构抗爆性能的影响规律。方法首先，基于三维Hashin失效准则，利用软件ABAQUS中的VUMAT用户子程序接口，开发纤维增强复合材料损伤演化的子程序模块；然后，通过与公开文献中的实验进行对比，验证爆炸冲击载荷下基于所开发子程序的碳纤维增强复合材料动态响应仿真方法的有效性；最后，基于该数值方法开展碳纤维增强复合材料梯形波纹板的抗爆性能参数化研究。结果结果显示，相比增大迎爆面面板的厚度，增大背爆面面板厚度对夹层板抗爆性能的提升更为明显；芯层壁板折角从45°减小至30°时，其抗爆能力提高了1.3%，而当从60°减小至45°时，其抗爆能力提高了6.3%；芯层高度从8 mm增大至20 mm时，其抗爆能力提高了27.7%。结论所做研究可为碳纤维增强复合材料夹层结构的抗爆设计提供参考。
- 复合材料 /
- 爆炸冲击 /
- 梯形波纹板 /
- 损伤演化 /
- ABAQUS
Abstract: Objectives The effects of the thickness of the face plate, angle of the wall plate and height of the core layer on the anti-explosion performance of carbon fiber reinforced composite trapezoidal corrugated sandwich structures were investigated. Methods First, based on the 3D Hashin failure criterion, a subroutine module of the damage evolution of fiber reinforced composites is developed using the VUMAT user subroutine interface in ABAQUS. Second, through comparison with experiments in the public literature, the effectiveness of the dynamic response simulation method of carbon fiber reinforced composites based on a development subroutine under explosion impact loading is verified. Finally, a parametric study on the explosion resistance of carbon fiber reinforced composite trapezoidal corrugated plates is carried out based on the numerical method. Results The results show that, compared with increasing the thickness of the blast face panel, increasing the thickness of the back blast face panel can improve the explosion resistance of the sandwich plate more obviously; when the folding angle of the core wall plate decreases from 45° to 30°, the explosion resistance increases by 1.3%; when it decreases from 60° to 45°, the explosion resistance increases by 6.3%; and when the core height increases from 8 mm to 20 mm, the explosion resistance increases by 27.7%. Conclusions The results of this study can provide references for the explosion-proof design of carbon fiber reinforced composite sandwich structures.
- composite /
- blast impact /
- trapezoidal corrugated plate /
- damage evolution /
- ABAQUS

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图 1 爆炸载荷下碳纤维复合材料梯形波纹板的数值模型

Figure 1. Numerical model of carbon fiber composite trapezoidal corrugated plate under explosion loadings

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图 2 碳纤维复合材料层合板数值模型

Figure 2. Numerical model of carbon fiber reinfored composite laminates

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图 3 实验与仿真结果对比^[1]

Figure 3. Comparison of experimental and simulation results^[1]

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图 4 梯形波纹板在爆炸冲击载荷下动态响应过程

Figure 4. Dynamic response process of trapezoidal corrugated plate under explosion shock loadings

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图 5 两侧面板变形、速度时程曲线

Figure 5. Time histories of deformation and velocity of panel

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图 6 纤维增强复合材料梯形波纹板的损伤

Figure 6. Damage of fiber reinforced composite trapezoidal corrugated plate

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图 7 不同迎爆面面板厚度梯形波纹板的响应

Figure 7. Response of trapezoidal corrugated plate with different blast face panel thickness

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图 8 不同背爆面面板厚度梯形波纹板的响应

Figure 8. Response of trapezoidal corrugated plate with different back blast face panel thickness

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图 9 不同面板厚度梯形波纹板的最大变形曲线

Figure 9. Maximum deformation curves of trapezoidal corrugated plate with different panel thickness

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图 10 不同壁板折角的梯形波纹板的响应

Figure 10. Response of trapezoidal corrugated plate with different folding angles

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图 11 不同芯层高度的梯形波纹板的响应

Figure 11. Response of trapezoidal corrugated plate with different core heights

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表 1 平纹编织结构碳纤维层合板材料参数^[13]

Table 1. Parameters of plain woven carbon fiber composite material laminates^[13]

参数	数值
方向1弹性模量${E_{11}}$/GPa	62.3
方向2弹性模量${E_{22}}$/GPa	62.3
厚度方向弹性模量${E_{33}}$/GPa	8.5
泊松比${v_{12}}$，${v_{13} }$，${v_{23}}$	0.06
剪切模量${G_{12}}$/GPa	7.1
剪切模量${G_{13}}$，${G_{23}}$/GPa	3
方向1拉伸强度${X_{\rm{t} } }$/MPa	610
方向1压缩强度${X_{\rm{c} } }$/MPa	314.7
方向2拉伸强度${Y_{\rm{t} } }$/MPa	610
方向2压缩强度${Y_{\rm{c} } }$/MPa	314.7
厚度方向拉伸强度${Z_{\rm{t} } }$/MPa	55.6
厚度方向压缩强度${Z_{\rm{c}}}$/MPa	500
剪切强度${S_{12}}$/MPa	101.7
剪切强度${S_{13}}$，${S_{23}}$/MPa	59.4
密度$\rho $/(kg·m⁻³)	1467

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表 2 黏接单元材料参数^[3]

Table 2. Cohesive element material parameters

参数		数值
弹性模量	E₁₁/GPa	4.3
	G₁₂/GPa	2.0
	G₁₃/GPa	2.0
失效应力	$ {\sigma }_{\mathrm{N}} $/MPa	100
	${\sigma }_{\mathrm{S} }$/MPa	80
	${\sigma }_{\mathrm{T} }$/MPa	80
断裂能	G_N/(J·m⁻²)	1 500
	G_S/(J·m⁻²)	2 000
	G_T/(J·m⁻²)	2 000

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表 3 PE4炸药JWL状态方程参数^[13]

Table 3. PE4 explosive JWL state equation parameters^[13]

参数	数值
密度/(kg·m⁻³)	1 770
$ A $/GPa	617.5
$ B $/GPa	16.9
$ {R}_{1} $	4.4
$ {R}_{2} $	1.2
$ \omega $	0.25
爆轰速度V/(m·s⁻¹)	7 100
初始内能$ {E}_{\mathrm{m}} $/(J·kg⁻¹)	5.707×10⁶
注：A，B，R₁，R₂，ω为JWL状态方程参数。

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表 4 空气气体状态方程参数^[14]

Table 4. Air gas state equation parameters^[14]

参数	数值
密度/(kg·m⁻³)	1.225
大气压强/Pa	1.013×10⁵
体积常数R	287.05
初始温度$ \theta $/℃	20
绝对零度$ {\theta }_{\mathrm{z}} $/℃	−273

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表 5 梯形波纹板结构参数设计

Table 5. Structural parameter design of trapezoidal corrugated plate

工况	迎爆面面板厚t_f /mm	背爆面面板厚t_b /mm	芯层高H_c /mm	芯层壁板折角θ/(°)	单位面积相对质量
TC-1	1.56	1.56	14	45	1.00
TC-2	0.78	1.56	14	45	0.81
TC-3	2.34	1.56	14	45	1.19
TC-4	1.56	0.78	14	45	0.81
TC-5	1.56	2.34	14	45	1.19
TC-6	1.56	1.56	14	30	0.97
TC-7	1.56	1.56	14	60	1.05
TC-8	1.56	1.56	8	45	0.99
TC-9	1.56	1.56	20	45	1.01

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参考文献(14)

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