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摘要:
以碳纤维增强基复合材料(CFRP)平-折-平(FJF)胶接接头为对象，通过试验拟合单向板的正则化疲劳寿命模型、剩余刚度模型及胶层的内聚力模型参数，并以此为基础通过ABAQUS软件预测了胶接接头的疲劳寿命。结果表明：在特定最大载荷条件下，预测得出的搭接区端部胶层开裂寿命与最终疲劳寿命相较于试验结果的误差值均不大于6%，具有较好的计算精度。胶接接头的搭接区端部胶层开裂寿命近似等于胶接接头最终疲劳寿命，说明搭接区端部胶层开裂寿命占胶接接头全寿命的主要部分，胶层裂纹扩展寿命可以忽略不计。
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关键词:
- 碳纤维增强基复合材料 /
- 平-折-平胶接接头 /
- 剩余刚度模型 /
- 内聚力模型 /
- 疲劳寿命
Abstract:Parameter fitting was done using tests for the cohesive model, the normalized fatigue life model, the stiffness degradation model of the unidirectional laminate, and carbon fiber reinforced polymer (CFRP) flat-joggle-flat (FJF) bonded joint. Based on the models mentioned above, the fatigue life of the bonded joint was predicted by using ABAQUS software. Results show that under a certain maximum load, the predicted adhesive cracking life at the end of the overlap zone and the ultimate fatigue life of the bonded joint have an error value of no more than 3%, compared with the corresponding test results, which illustrates good accuracy. It is evident that the adhesive cracking life plays a major role and that the adhesive crack propagation life can be disregarded because the adhesive cracking life at the end of the overlap zone is almost equal to the ultimate fatigue life of the bonded joint.
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图 1 单向层合板纵向u-lgN拟合结果
Figure 1. Fitting result of u-lgN data for laminate longitudinal case
图 2 单向层合板横向u-lgN拟合结果
Figure 2. Fitting result of u-lgN data for laminate horizontal case
图 4 单向层合板纵向拉-拉疲劳正则化剩余刚度退化曲线
Figure 4. Residual stiffness degradation curve of laminate longitudinal tension-tension fatigue
图 5 单向层合板横向拉-拉疲劳正则化剩余刚度退化曲线
Figure 5. Residual stiffness degradation curve of laminate horizontal tension-tension fatigue
图 6 层合板剪切拉-拉疲劳正则化剩余刚度退化曲线
Figure 6. Residual stiffness degradation curve of laminate shear tension-tension fatigue
表 1 正则化疲劳寿命模型试验数据参数拟合
Table 1. Parameter fitting of normalized fatigue life model test data
类别 A C B D 纵向 − 3.3654 − 3.3654 0.7683 0.7683 横向 − 1.6303 − 1.6303 − 0.0123 − 0.0123 剪切 0.2109 0.2109 0.1477 0.1477 
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表 2 剩余刚度试验数据参数拟合
Table 2. Parameter fitting of residual stiffness test data
类别 c1 c2 a b 纵向 1.27 19.12 0.15 3.58×10−10 横向 0.90 2.18 0.28 5.23×10−8 剪切 1.53 6.37 0.19 1.96×10−6
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表 4 胶黏剂J299材料参数
Table 4. Material parameter of adhesive J299
$ {\sigma _{\mathrm{f}}} $/MPa $ {\tau _{\mathrm{f}}} $/MPa $ G_{\text{I}}^{\text{c}} $/(N·mm−1) $ G_{{\text{II}}}^{\text{c}} $/(N·mm−1) 40 20 0.45 0.65
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表 5 内聚力模型损伤因子的确定
Table 5. Determination of damage factor for the cohesive model
测试 循环次数 $ \chi $ 载荷仿真值/kN 试验载荷中值/kN 1 7284 0.949 9.189 9.187 2 13783 0.946 9.105 9.102
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表 6 胶接接头疲劳寿命预测与试验结果
Table 6. Fatigue life prediction and test results of the bonded joint
端部开裂寿命 开裂寿命
误差/%最终疲劳寿命 疲劳寿命
误差/%预测值 试验值 预测值 试验值 4.924 4.867 1.17 4.944 4.870 1.52
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表 7 最大疲劳载荷为7.568 kN时内聚力模型损伤因子的确定
Table 7. Determination of damage factor for the cohesive model when the maximum fatigue load equals to 7.568 kN
试验 循环次数 $ \chi $ 载荷仿真值/kN 试验载荷中值/kN 1 68 0.953 9.246 9.244 2 145 0.949 9.227 9.226
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表 8 最大疲劳载荷为7.568 kN时胶接接头疲劳寿命 预测与试验结果
Table 8. Fatigue life prediction and test results of the bonded joint when the maximum fatigue load equals to 7.568 kN
端部开裂寿命 开裂寿命
误差/%最终疲劳寿命 疲劳寿命
误差/%预测值 试验值 预测值 试验值 2.903 2.846 2.00 3.000 2.850 5.26
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