复合材料衬套螺栓干涉连接安装过程损伤机制

邹鹏; 屈凡

doi:10.13801/j.cnki.fhclxb.20210616.007

复合材料衬套螺栓干涉连接安装过程损伤机制

doi: 10.13801/j.cnki.fhclxb.20210616.007

邹鹏^1, ,,
屈凡²

1.
中国飞机强度研究所　全尺寸飞机结构静力/疲劳实验室，西安 710065
2.
西安精雕软件科技有限公司，西安 710000

基金项目: 国家自然科学基金(52005458)；航空科学基金(2018ZE23011)

详细信息

通讯作者:
邹鹏，博士，高级工程师，研究方向为复合材料结构强度　 E-mail：zoupeng_0625@126.com

中图分类号: V258；TB332
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出版历程
- 收稿日期: 2021-05-06
- 修回日期: 2021-06-03
- 录用日期: 2021-06-09
- 网络出版日期: 2021-06-17
- 刊出日期: 2022-03-23

Damage mechanism of composite sleeve-type bolt interference fit structure during the installation process

ZOU Peng^{1
, ,},
QU Fan²

1.
Full Scale Aircraft Structural Static/Fatigue Laboratory, Aircraft Strength Research Institute of China, Xi’an 710065, China
2.
Xi'an Jingdiao Software Technology Co. Ltd., Xi’an 710000, China

摘要

摘要: 复合材料干涉连接结构由于能够显著降低孔周应力集中，提高结构承载能力和疲劳寿命，而成为一种先进的连接形式。但是由于复合材料层间强度低的特点，不合理的干涉螺栓连接结构形式、尺寸以及安装方式很容易引起孔壁分层，降低结构承载能力。针对该问题，本论文提出了一种基于衬套螺栓的干涉连接结构，并对该结构开展了安装过程中承载机制的试验和有限元研究。试验中测量了插钉力变化和孔壁损伤情况，有限元模型中充分考虑了层内损伤和层间分层因素，建立了基于复合材料渐进损伤和内聚力单元的损伤预测模型。通过干涉量为2.2%的衬套螺栓安装过程中的插钉力和损伤的有限元模型与试验结果对比分析发现，二者拟合度良好，证明模型的准确性。通过不同干涉量下的分层情况对比分析以及临界干涉量求解，解释了衬套螺栓提高孔壁质量的原因并提出了可靠干涉量范围。
- 复合材料 /
- 衬套螺栓 /
- 干涉螺接 /
- 损伤机制 /
- 临界干涉量
Abstract: Composite interference fit joints have become an advanced joint form because they can significantly reduce the stress concentration around the holes and thus improve the bearing capacity and fatigue life of the structure. However, due to the low interlaminar strength of composite materials, unreasonable interference bolt structure style, dimension and installation method can easily cause hole wall delamination and reduce the structure bearing capacity. To solve this problem, an interference joint structure based on sleeve-type bolts was proposed, and the experiment and finite element analysis of the structure during installation were carried out. The changes of installation force and damage around hole were measured. A damage prediction model based on progressive damage and cohesive element of composite was established by taking into full account the factors of intralaminar damage and interlaminar delamination. Through the comparative analysis of the insertion force and damage of sleeving bolts with 2.2% interference, it is found that the finite element model fits well with the test results, which proves the accuracy of the model. The reason why sleeve-type bolt can improve the quality of hole wall is explained and the range of reliable interference is put forward through comparative analysis under different interference and critical interference percentage calculation.
- composite /
- sleeve-type bolt /
- interference-fit /
- damage mechanism /
- critical interference percentage

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图 1 衬套螺栓干涉安装示意图

Figure 1. Interference installation diagram of sleeve-type bolt

CFRP—Carbon fiber reinforced plastic

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图 2 T700/BA9916碳纤维增强环氧树脂复合材料试件尺寸图

Figure 2. Dimension drawing of T700/BA9916 carbon fiber reinforced epoxy resin composite specimen

$\phi$—Hole diameter

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图 3 衬套螺栓尺寸图

Figure 3. Dimension drawing of sleeve-type bolt

R—Radius

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图 4 衬套螺栓干涉安装试验过程

Figure 4. Experimental process of sleeve-type bolt interference installation

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图 5 CFRP层合板衬套螺栓干涉连接有限元模型

Figure 5. Finite element model of sleeve-type bolt interference joint of CFRP laminates

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图 6 线性刚度退化图

Figure 6. Linear stiffness degradation diagram

E_i—Initial modulus; ε_i—Strain; ε_0, _i—Strain corresponding to the initial damage point; ε_{f, i}—Strain corresponding to the full damage point; d_i—Damage variable controlling evolution law; t—Stretch; c—Compress; f—Fiber; m—Matrix; i=f, m; $ {\sigma _{{i}}}$—Stress; $\sigma _{_{0,{{i}}}}^{\rm{t}} $—Stress corresponding to the initial damage point under tension load; $ \sigma _{_{0,{{i}}}}^{\rm{c}}$—Stress corresponding to the initial damage point under compression load

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图 7 内聚力单元的双线性本构模型：(a)法向行为；(b)剪切行为

Figure 7. Bilinear constitutive model of cohesive element: (a) Normal behavior; (b) Shear behavior

t_n, t_s, t_t—Interface stress, shear stress in s direction, shear stress in t direction; d_n, d_{s, t}—Damage variables controlling evolution law in n, s, t direction; δ_n ⁰,δ_s ⁰, δ_t ⁰—Initial interface damage displacement in n, s, t direction; δ_n ^max, δ_s ^max, δ_t ^max—Effective displacement of a point in the loading process in n, s, t direction ; δ_n ^f, δ_s ^f, δ_t ^f—Final delamination displacement in n, s, t direction

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图 8 插钉力-位移曲线

Figure 8. Installation load-displacement curve

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图 9 CFRP层合板层内损伤微观图像：(a1) 入口处; (a2) 两板交界处; (a3) 出口处

Figure 9. Intralaminar damage images of CFRP laminates: (a1) Entrance; (a2) Junction of two plates; (a3) Exit location

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图 10 CFRP层合板不同位置处有限元层内损伤图：(b1) 入口处;(b2) 两板交界处; (b3) 出口处

Figure 10. Finite simulation result of damage at different positions of CFRP laminates: (b1) Entrance; (b2) Junction of two plates; (b3) Exit location

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图 11 CFRP层合板层间损伤图：(a)损伤形貌: (a1) 入口处; (a2) 中间位置; (a3) 出口处；(b)仿真结果: (b1) 入口处; (b2) 中间位置; (b3) 出口处

Figure 11. Interlaminar damage map of CFRP laminates: (a) Damage morphology: (a1) Entrance; (a2) Intermediate position; (a3) Exit position; (b) Simulation result: (b1) Entrance; (b2) Intermediate position; (b3) Exit position

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图 12 不同干涉量的CFRP层合板孔周应力分布：(a) 径向应力分布; (b) 周向应力分布

Figure 12. Stress distribution around hole of CFRP laminates with different interference: (a) Radial stress distribution; (b) Circumferential stress distribution

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图 13 不同干涉量 ((a)~(e)) 下CFRP层合板衬套螺栓安装层间损伤图

Figure 13. Interlaminar damage diagram of sleeve type bolt installation of CFRP laminates under different interference ((a)-(e))

SDEG—Scalar stiffness degradation variable

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表 1 T700/BA9916材料属性

Table 1. Property of T700/BA9916

E₁/ GPa	E₂/ GPa	E₃/ GPa	G₁₂/ GPa	G₁₃/ GPa	G₂₃/ GPa	υ₁₂	υ₁₃	υ₂₃
114	8.61	8.61	4.16	4.16	3.0	0.3	0.3	0.45
X_t/ MPa	X_c/ MPa	Y_t/ MPa	Y_c/ MPa	Z_t/ MPa	Z_c/ MPa	S₁₂/ MPa	S₁₃/ MPa	S₂₃/ MPa
2688	1458	69.5	236	55.5	175	136	136	95.6
Notes: E₁—Longitudinal modulus; E₂, E₃—Transverse modulus; G₁₂, G₁₃, G₂₃—Shear modulus; υ₁₂, υ₁₃, υ₂₃—Poisson’s ratio; X_t—Longitudinal tensile strength; X_c—Longitudinal compression strength; Y_t, Z_t—Transverse tensile strength; Y_c, Z_c—Transverse compression strength; S₁₂, S₁₃, S₂₃—Shear strength.

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表 2 钛合金及不锈钢材料属性

Table 2. Properties of titanium alloy and stainless steel

Material	Modulus/GPa	Poisson's ratio	Density/(kg·m⁻³)
Ti alloy	110	0.3	4.51×10³
Stainless steel	194	0.3	7.93×10³

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表 3 内聚力单元属性

Table 3. Property of cohesive element

G_IC/ (mJ·mm⁻²)	G_IIC/ (mJ·mm⁻²)	G_IIIC/ (mJ·mm⁻²)	t_n⁰/t_s⁰/t_t⁰/ MPa	K_n⁰/K_s⁰/K_t⁰/ (N·mm⁻³)	u
0.28	0.82	0.82	60	0.8×10⁶	10⁻⁴
Notes: G_IC—Critical energy release rate in mode I delamination; G_IIC—Critical energy release rate in mode II delamination; G_IIIC—Critical energy release rate in mode III delamination; t_n⁰, t_s⁰, t_t⁰—Interface strength; K_n⁰, K_s⁰, K_t⁰—Initial interface stiffness; u—Viscosity coefficient.

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