静水压下含缺陷中厚复合材料圆柱耐压壳的极限强度

李永胜; 王纬波; 李泓运; 屈平; 张建

doi:10.13801/j.cnki.fhclxb.20220718.001

静水压下含缺陷中厚复合材料圆柱耐压壳的极限强度

doi: 10.13801/j.cnki.fhclxb.20220718.001

李永胜^{1, 2, ,},
王纬波^{1, 2},
李泓运^{1, 2},
屈平^{2, 3},
张建⁴

1.
中国船舶科学研究中心　船舶振动噪声重点实验室，无锡 214082
2.
深海技术科学太湖实验室，无锡 214082
3.
中国船舶科学研究中心　深海载人装备国家重点实验室，无锡 214082
4.
江苏科技大学　机械工程学院，镇江 212003

基金项目: 国家自然科学基金(52071160)；国家重点研发计划项目(2016 YFC0304300)

详细信息

通讯作者:
李永胜，硕士，高级工程师，研究方向为舰船高性能复合材料应用及船舶振动噪声控制　 E-mail: liyongsheng@cssrc.com.cn

中图分类号: TB332
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出版历程
- 收稿日期: 2022-05-19
- 修回日期: 2022-06-13
- 录用日期: 2022-06-29
- 网络出版日期: 2022-07-19
- 刊出日期: 2023-05-15

Ultimate strength of imperfect moderate thick composite cylindrical pressure shell under hydrostatic pressure

LI Yongsheng^{1, 2
, ,},
WANG Weibo^{1, 2},
LI Hongyun^{1, 2},
QU Ping^{2, 3},
ZHANG Jian⁴

1.
National Key Laboratory on Ship Vibration & Noise, China Ship Scientific Research Center, Wuxi 214082, China
2.
Taihu Laboratory of Deep-Sea Technological Science, Wuxi 214082, China
3.
State Key Laboratory of Deep-Sea Manned Vehicles, China Ship Scientific Research Center, Wuxi 214082, China
4.
School of Mechanical Engineering, Jiangsu University of Science and Technology, Zhenjiang 212003, China

Funds: National Natural Science Foundation of China (52071160); National Key R&D Program of China (2016 YFC0304300)

摘要

摘要: 为探究静水压下含缺陷中厚复合材料圆柱耐压壳的极限强度，以湿法缠绕工艺制备中厚玻璃纤维增强树脂基复合材料(GFRP)圆柱耐压壳结构模型，对其初挠度进行测试，并开展静水压破坏试验，分析了结构的极限承载能力、应变响应和破坏模式。基于实测初挠度及破坏模式，建立含缺陷复合材料圆柱壳的非线性分析有限元模型，同时考虑壳体几何缺陷及承压过程中的复合材料面内损伤，编制ABAQUS接口子程序USDFLD，对模型的损伤过程进行数值模拟，获得静水压下含缺陷中厚复合材料圆柱壳的渐进失效过程，并与试验结果对比验证。研究表明：在静水压下中厚GFRP圆柱壳结构在破坏前载荷几乎呈线性增加，最终破坏模式为材料的压缩破坏，整体屈曲破坏模式不明显。考虑结构的几何缺陷和材料损伤演化后，采用非线性有限元模拟得到的壳体极限强度与试验结果吻合良好，可以作为预测含缺陷中厚复合材料圆柱壳极限强度的方法。采用该方法对影响中厚复合材料圆柱耐压壳极限强度的关键参数进行了研究，为深海复合材料耐压壳的研究设计提供参考。
- GFRP圆柱耐压壳 /
- 几何缺陷 /
- 材料损伤 /
- 极限承载 /
- 破坏模式
Abstract: In order to investigate the ultimate strength of imperfect composite cylindrical shell under hydrostatic pressure, a moderate thick filament wounded glass fiber-reinforced polymer (GFRP) composite cylindrical model was fabricated, and its initial deflection was measured before hydrostatic external pressure test. Then the compo-site cylinder model was tested up to failure under hydrostatic external pressure, the ultimate bearing capacity, strain response and failure mode were analyzed comprehensively. Based on the measured initial deflection and failure mode, a nonlinear finite element model was established, which the initial geometric defects and in-plane damage of composites during the loading procedure were simultaneously considered in the numerical model. Through programming interface subroutine with ABAQUS software, the failure process and mechanism of moderate thick GFRP cylinder model were obtained, and numerical result were compared and comparative verified with the experimental results. The results show that the ultimate load of moderate thick GFRP cylinder model is almost increasing before model collapse, and the final failure mode is the compression failure of the composite material, while the global buckling failure mode is not obvious. After considering the geometrical defects and damage evolution of composites, the ultimate strength of the moderate thick composite cylindrical shell is agreed well with the experimental result. It can be used as a method to predict the ultimate strength of medium thickness composite cylindrical shells with defects. On this basis, the key parameters affecting the ultimate strength of medium thickness composite cylindrical shells were studied, which can provide reference for the design of deep-sea composite pressure shells.
- GFRP cylindrical pressure hull /
- geometric imperfections /
- material damage /
- ultimate bearing /
- failure mode

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图 1 玻璃纤维增强树脂复合材料(GFRP)圆柱壳设计示意图

$\phi $—Diameter

Figure 1. Schematic of glass fiber reinforced resin polymer (GFRP) cylindrical shell

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图 2 圆柱壳初挠度测点

F—Transverse section

Figure 2. Initial deflection measuring point of cylindrical shell

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图 3 GFRP圆柱壳初挠度测试结果

Figure 3. Test results of initial deflection of GFRP cylindrical shell

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图 4 圆柱壳应变测点

L—Length of the cylindrical shell; F0—Left section of the cylindrical shell; F1-F5—Five sections of the cylindrical shell equally divided along the axial direction; E3-E18—Strain gauges in axial and circumferential directions

Figure 4. Strain measuring point of cylindrical shell

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图 5 中厚GFRP圆柱耐压壳试验模型

Figure 5. Moderate thick GFRP cylindrical pressure hull model

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图 6 GFRP圆柱壳静水压-时程曲线

Figure 6. Hydrostatic pressure to time curve of GFRP cylindrical hull test

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图 7 GFRP圆柱壳在不同位置处的破坏模式

Figure 7. Failure modes of GFRP cylindrical hull at different locations

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图 8 GFRP圆柱壳应变-静水压力曲线

Figure 8. Strain-hydrostatic pressure curves of GFRP cylindrical hull

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图 9 GFRP圆柱壳一阶特征屈曲模态

U—Buckling deformation

Figure 9. First order characteristic buckle mode of GFRP cylindrical hull

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图 10 引入不同阶次屈曲模态缺陷下GFRP圆柱壳的非线性屈曲压力曲线比较

Figure 10. Comparison of nonlinear buckling pressure curves of GFRP cylindrical hull by introducing different orders of buckling modes

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图 11 缺陷不同加载位置

Figure 11. Different loading location of imperfection

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图 12 中厚GFRP耐压壳在静水压下的复合材料损伤演化过程

Figure 12. Damage evolution of composite material of moderate thick GFRP cylindrical pressure hull

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图 13 GFRP圆柱壳渐进损伤情况下静水压力与弧长p的关系

Figure 13. Relationship between hydrostatic pressure and arc length p under progressive damage of GFRP cylindrical shell

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图 14 静水压下中厚GFRP圆柱壳破坏模式的试验结果与数值模拟结果对比

Figure 14. Comparison of experimental and numerical simulation results of failure mode of moderate thickness GFRP cylindrical shell under hydrostatic pressure

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图 15 不同几何缺陷下GFRP圆柱壳静水压力与弧长p的关系

Im_0.1%R, Im_0.3%R, Im_0.5%R, Im_0.8%R, Im_1.0%R—Geometric defects of size 0.1%R, 0.3%R, 0.5%R, 1%R; R—Radius of the cylindrical shell

Figure 15. Relationship between hydrostatic pressure and arc length p of GFRP cylindrical shell under different magnitude of geometrical defects

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图 16 不同缠绕角下GFRP圆柱壳静水压力与弧长p 的关系

Figure 16. Relationship between hydrostatic pressure and arc length p of GFRP cylindrical shell under different winding angles

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图 17 不同半径与厚度比R/t下GFRP圆柱壳静水压力与弧长p的曲线

Figure 17. Relationship between hydrostatic pressure and arc length p of GFRP cylindrical shell under different radius to thickness ratio R/t

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表 1 应变测点位置信息

Table 1. Location information of strain measuring points

Axial number	Location-angle	Circumferential number	Location-angle
E5	L/6-90^o	E6	L/6-90^o
E7	L/3-90^o	E8	L/6-90^o
E9	L/2-180^o	E10	L/2-180^o
E11	L/2-180^o	E12	L/2-180^o
E13	L/2-225^o	E14	L/2-225^o
E15	L/2-247.5^o	E16	L/2-247.5^o
E17	0-270^o	E18	0-270^o

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表 2 GFRP力学参数

Table 2. Material properties of GFRP

Engineering constant	Value	Strength constant	Value
E₁/GPa	41	X_t/MPa	1140
E₂/GPa	10.4	X_c/MPa	620
G₁₂/GPa	4.3	Y_t/MPa	39
G₂₃/GPa	3.5	Y_c/MPa	128
v₁₂	0.28	S_xy/MPa	89
Notes: E₁, E₂—Elastic modulus in fiber direction, in-plane transverse modulus; G₁₂, G₂₃—Shear modulus in fiber direction and in-plane transverse direction, in-plane transverse direction and out-of-plane transverse direction, respectively; v₁₂—Poisson's ratio of fiber direction and in-plane transverse direction; X_t, X_c, Y_t, Y_c—Tension strength and compression strength in fiber direction and in-plane transverse direction, respectively; S_xy—Shear strength of fiber direction and in-plane transverse direction.

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表 3 基于单点扰动载荷法(SPLA)的GFRP圆柱壳屈曲压力和载荷下降系数(KDF)

Table 3. Buckling load and load drop factor (KDF) of GFRP cylindrical shell based on single point disturbance loading method (SPLA)

Point	Perfect model/MPa	Buckling load/MPa	KDF
1	18.55	15.88	0.856
2	18.55	15.75	0.849
3	18.55	15.70	0.846
4	18.55	15.75	0.849
5	18.55	15.88	0.856

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表 4 基于失效模式的GFRP复合材料面内性能退化方法

Table 4. In-plane property degradation of GFRP composites based on the failure mode

Failure mode	Field variable				Property degradation (In-plane)
Failure mode	F_V1	F_V2	F_V3	→	E₁	E₂	v₁₂	G₁₂
No failure	0	0	0	→	E₁	E₂	v₁₂	G₁₂
Matrix cracking	1	0	0	→	E₁	(5%-10%)E₂	0	G₁₂
Fiber-matrix shear	0	1	0	→	E₁	(5%-10%)E₂	0	(5%-10%)G₁₂
Fiber failure	0	0	1	→	0.14E₁	(5%-10%)E₂	0	(5%-10%)G₁₂
Notes: F_V1—Field variable 1, represents matrix cracking failure if it equals to 1; F_V2—Field variable 2, represents fiber-matrix shear failure if it equals to 1; F_V3—Field variable 3, represents fiber failure if it equals to 1.

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