复合材料连续损伤力学模型在螺栓接头渐进失效预测中的应用

何柏灵; 葛东云

doi:10.13801/j.cnki.fhclxb.20191030.004

复合材料连续损伤力学模型在螺栓接头渐进失效预测中的应用

doi: 10.13801/j.cnki.fhclxb.20191030.004

何柏灵^{1, 2,},
葛东云^3, ,

1.
广西科技大学　机械与交通工程学院，柳州 545006
2.
西安交通大学　机械结构强度与振动国家重点实验室，西安 710049
3.
清华大学　航天航空学院，北京 100084

基金项目: 广西高校中青年教师基础能力提升项目(2019 KY0365)；广西科技基地和人才专项(桂科AD19110150)；机械结构强度与振动国家重点实验室开放课题(SV2019-KF-12)

详细信息

通讯作者:
葛东云，博士，副教授，博士生导师，研究方向为复合材料力学　E-mail：gedy@tsinghua.edu.cn

中图分类号: TB330.1; V214.8
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- 文章访问数: 1609
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- 被引次数: 0
出版历程
- 收稿日期: 2019-09-05
- 录用日期: 2019-10-24
- 网络出版日期: 2019-10-31
- 刊出日期: 2020-08-15

Application of continuum damage mechanics model for composites in progressive failure prediction of bolted joints

HE Boling^{1, 2
,},
GE Dongyun^{3
, ,}

1.
School of Mechanical and Transportation Engineering, Guangxi University of Science and Technology, Liuzhou 545006, China
2.
State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi’an Jiaotong University, Xi’an 710049, China
3.
School of Aerospace Engineering, Tsinghua University, Beijing 100084, China

摘要

摘要: 提出考虑层合板面内(纤维和基体失效)和层间失效的复合材料连续损伤力学模型，对螺栓接头的渐进失效行为进行预测。基于Tsai-Wu强度准则，发展可以判定复合材料面内和层间失效的强度准则。采用幂指数衰减材料退化模型模拟复合材料的损伤扩展过程。建立连续损伤力学模型用以研究0°铺层比例和螺栓直径对复合材料螺栓接头挤压性能的影响，预测结果与实验结果吻合。结果表明：0°铺层比例过高，接头发生剪切破坏，降低连接结构承载能力；增大螺栓直径，层合板损伤受到抑制，可提高复合材料螺栓接头的挤压强度。
- 复合材料 /
- 螺栓接头 /
- 连续损伤力学模型 /
- 渐进失效 /
- 强度准则
Abstract: A continuum damage mechanics model for composites, considering the intralaminar (fibre and matrix failure) and interlaminar failure, was proposed to predict the progressive damage behavior of bolted joints. Based on Tsai-Wu strength criterion, a new failure-judgement formula was developed to distinguish the intralaminar and interlaminar failure. An exponent material degradation model was introduced to simulate the damage evolution of the composite. A continuum damage mechanics model was established to analyze the effect of 0° ply ratio and bolt diameter on the bearing characteristic of the composite bolted joints. The predicted results exhibit good agreement with the experimental results. These results show that high 0° ply ratio induces the shear-out failure of the composite bolted joints, decreasing the structural bearing capability. Increasing the bolt diameter can restrain the damage of the composite laminate and improve the bearing strength of the composite bolted joints.
- composite /
- bolted joint /
- continuum damage mechanics model /
- progressive damage /
- strength criterion

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图 1 基于连续损伤力学的复合材料螺栓接头渐进失效分析流程

Figure 1. Progressive damage analysis process of composite bolted joints based on continuum damage mechanics

下载: 全尺寸图片幻灯片

图 2 T800级碳纤维增强聚合物复合材料螺栓接头的尺寸

Figure 2. Geometry of T800 carbon fiber reinforced polymer composite bolted joint

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图 3 1/4复合材料-钛合金双剪单钉螺栓接头的数值模型

Figure 3. Numerical model of 1/4 composite-titanium double shear single bolted joints

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图 4 网格收敛性分析(接头C-12.8)

Figure 4. Mesh convergence analysis (Joint configuration C-12.8)

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图 5 接头C-12.8的挤压应力-应变曲线

Figure 5. Bearing stress-strain curves of joint configuration C-12.8

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图 6 接头C-12.8的初始损伤变量-挤压应变曲线

Figure 6. Initial damage index-bearing strain curves of joint configuration C-12.8

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图 7 不同铺层比例接头的应力-应变曲线

Figure 7. Bearing stress-strain curves of joint configurations with different ply ratios

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图 8 接头A-12.8的挤压失效机制

Figure 8. Bearing failure mechanism of joint configuration A-12.8

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图 9 接头C-12.8的剪切失效机制

Figure 9. Shear-out failure mechanism of joint configuration C-12.8

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图 10 不同螺栓直径接头的应力-应变曲线

Figure 10. Bearing stress-strain curves of joint configurations with different bolt diameters

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图 11 不同螺栓直径接头的连接孔边纤维损伤分布(挤压应力为600 MPa)

Figure 11. Fibre damage distribution around the fastener hole of joint configurations with different bolt diameters (Bearing stress is 600 MPa)

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表 1 T800级碳纤维增强聚合物复合材料层合板铺层比例和顺序

Table 1. Ply ratios and sequences of T800 carbon fiber reinforced polymer composite laminate

Code	Ply ratio/ %[0°/±45°/90°]	Ply sequence
A	(30/60/10)	[45°/0°/−45°/0°/45°/90°/−45°/0°/45°/−45°]_3s
B	(50/40/10)	[45°/0°/−45°/0°/90°/0°/45°/0°/−45°/0°]_3s
C	(70/20/10)	[45°/0°/0°/−45°/0°/0°/0°/90°/0°/0°]_3s

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表 2 T800级碳纤维增强聚合物复合材料力学性能^[23]

Table 2. Mechanical properties of T800 carbon fiber reinforced polymer composite^[23]

Elastic constant	Value	Strength	Value
E₁/GPa	195	X_T/MPa	3 071
E₂=E₃/GPa	8.58	X_C/MPa	1 747
G₁₂=G₁₃/GPa	4.57	Y_T=Z_T/MPa	88
G₂₃/GPa	2.9	Y_C=Z_C/MPa	271
ν₁₂=ν₁₃	0.33	S₁₂=S₁₃/MPa	143
v₂₃	0.48	S₂₃/MPa	143
Notes: E_i(i=1,2,3)—Elastic modulus in material principle directions; G_ij(1≤i<j≤3)—Shear elastic modulus in material principle directions; ν_ij(1≤i<j≤3)—Poison’s ratio in material principal directions; X_T and X_C—Tensile and compressive strength in fiber directions; Y_T and Y_C—Tensile and compressive strength normal to fiber directions; Z_T and Z_C—Tensile and compressive strength in interlaminar directions; S₁₂ and S₁₃—In-plane shear strength in material directions; S₂₃—Interlaminar shear strength in material directions.

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表 3 T800级碳纤维增强聚合物复合材料的断裂韧性^[24]

Table 3. Fracture toughness of T800 carbon fiber reinforced polymer composite^[24]

G_f/(N·mm⁻¹)	G_n/(N·mm⁻¹)	G_s/(N·mm⁻¹)
106.3	0.28	0.79
Notes: G_f—Fracture toughness in fiber direction; G_n—Transverse normal fracture toughness; G_s—Shear fracture toughness.

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表 4 Ti-6Al-4V的弹塑性材料参数^[25]

Table 4. Elasto-plastic properties of Ti-6Al-4V^[25]

Property	Value
E/GPa	110	—	—
ν	0.29	—	—
σ_y/MPa	950	1 034	1 103
ε_p	0	0.002	0.1
Notes: E—Young’s modulus; ν—Poison’s ratio; σ_y—Yield stress; ε_p—Yield strain.

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表 5 T800级碳纤维增强聚合物复合材料螺栓接头的拉伸试验矩阵

Table 5. Tensile test matrix of T800 carbon fiber reinforced polymer composite bolted joints

Specimen	Ply ratio/%[0°/±45°/90°]	Bolt diameter D/mm
A-12.8	(30/60/10)	12.8
B-12.8	(50/40/10)	12.8
C-12.8	(70/20/10)	12.8
A-9.53	(30/60/10)	9.5
A-14.3	(30/60/10)	14.3

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表 6 试验与数值结果比较(接头C-12.8)

Table 6. Comparison between experimental and numerical results (Joint configuration C-12.8)

Model	Ultimate bearing strength/MPa
Model	Prediction	Test	Error/%
This paper	967.3	935.3	3.4
Linde model	1 007	935.3	7.7
Hashin model	1 001	935.3	7.1

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