FAILURE PRIDICTION OF GLASS FIBER-REINFORCED FLEXIBLE PIPES UNDER INTERNAL PRESSURE
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摘要: 为深入探讨内压工况下玻纤增强柔性管的损伤失效机理，该文采用三维弹性力学理论，对柔性管三维本构关系开展理论分析，通过结合三维Hashin-Yeh失效准则与非线性刚度退化模型，建立了考虑基体材料非线性力学行为的柔性管三维渐进失效模型。采用静水压爆破实验对理论模型进行验证，在此基础上进行缠绕角度及径厚比等参数敏感性分析。理论模型与实验结果对比较为吻合；缠绕角度对柔性管在内压工况下的应力分布有较为明显的影响，随着缠绕角度的增加柔性管的首层失效荷载与最终爆破荷载均呈现增长趋势；随着径厚比的增加，柔性管承压能力迅速降低，但失效模式并未发生改变。Abstract: In order to explore the damage failure mechanism of glass fiber-reinforced flexible pipes under internal pressure, the theory of three-dimensional (3D) elasticity is adopted to carry out the theoretical analysis on 3D constitutive relationship of a flexible tube. Combined with a 3D Hashin-Yeh failure criterion and a nonlinear stiffness degradation model, considering the nonlinear mechanical behavior of matrix materials, a 3D progressive failure model of the flexible tube is established. The hydrostatic burst experiments are used to verify the theoretical model. And on this basis, the influence of winding angle and diameter thickness ratio on the failure load and failure mode of the flexible tube is analyzed. The analysis results show that: the theoretical model is in a good agreement with the experimental results. The winding angle has an obvious effect on the stress distribution of the flexible pipe under internal pressure; with the increase of the winding angle, the first layer failure load and the final burst failure load of the flexible pipe all present a tendency of increasing; with the increase of diameter thickness ratio, the pressure capacity of the flexible pipe decreases rapidly, but the failure mode does not change.
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图 7 内压工况下渐进失效模型预测值与实验对比
Figure 7. Comparison between Prediction value of progressive failure model and experiment under internal pressure
失效类型 失效方式 E1 E2 E3 ν12 ν13 ν23 G12 G13 G23 基体失效 拉伸 1.00 0.3 1.0 1 1 1 0.3 1.0 0.3 压缩 1.00 0.4 1.0 1 1 1 0.4 1.0 0.4 纤维失效 拉伸 0.07 1.0 1.0 1 1 1 1.0 1.0 1.0 压缩 0.14 1.0 1.0 1 1 1 1.0 1.0 1.0 分层失效 拉伸 1.00 0.3 0.3 1 1 1 1.0 0.3 0.3 压缩 1.00 0.4 0.4 1 1 1 1.0 0.4 0.4 下载: 导出CSV
表 2 柔性管几何参数(4层)
Table 2. Calculation parameters of flexible pipes(4-layer)
内径/
mm内衬层
壁厚/mm增强层
壁厚/mm缠绕
角度/(°)外保护层
壁厚/mm48 4 0.25×4 ±55 2 表 3 柔性管材料参数
Table 3. Material parameters of flexible pipes
材料名称 材料参数 数值 玻纤带 纵向拉伸模量E1/MPa 28 000.00 横向拉伸模量E2/MPa 3200.00 厚度向拉伸模量E3/MPa 3200.00 泊松比ν12 0.30 泊松比ν13 0.30 泊松比ν23 0.30 剪切模量G12/MPa 2700.00 剪切模量G13/MPa 2700.00 剪切模量G23/MPa 1230.00 HDPE 弹性模量E/MPa 900.00 泊松比ν 0.38 表 4 不同缠绕角度下柔性管失效压力(12层)
Table 4. The failure pressures of flexible pipes under different winding angles
缠绕角/(°) 失效模式 纤维拉伸/MPa 基体拉伸/MPa 纤维/基体剪切/MPa 最内层 最外层 最内层 最外层 最内层 最外层 15/?15 10.5 11.02 6.01 6.5 10.3 10.9 25/?25 31.0 34.92 6.11 6.5 8.4 8.9 35/?35 35.7 49.32 6.61 7.2 7.4 8.1 45/?45 28.3 52.82 9.3 10.3 8.81 9.7 55/?55 54.6 60.72 21.2 59.7 13.11 14.9 65/-65 82.7 86.22 19.3 20.3 16.11 17.9 75/?75 85.7 91.72 15.8 14.91 16.7 18.6 85/?85 88.8 99.12 14.2 13.41 18.0 20.4 注：上标1代表首层失效压力；上标2代表最终爆破失效压力。 表 5 不同径厚比条件下柔性管失效压力(12层)
Table 5. The failure pressures of flexible pipes under different D/t
径厚比 失效模式 分层/MPa 纤维拉伸/MPa 基体拉伸/MPa 纤维/基体剪切/MPa 最内层 最外层 最内层 最外层 最内层 最外层 5 81.1 98.22 23.8 97.2 22.11 26.2 63.5 6 68.2 78.12 22.9 76.7 16.81 19.6 59.9 8 49.7 54.82 20.4 54.2 12.01 13.5 ? 10 39.3 42.32 18.2 41.9 9.31 10.2 ? 15 25.8 26.82 14.3 26.6 6.11 6.4 ? 20 19.2 19.92 10.1 10.2 4.51 4.7 ? 25 15.3 15.82 7.1 7.3 3.61 3.7 ? 30 12.7 13.02 5.5 5.8 2.91 3.1 ? 注：上标1代表首层失效压力；上标2代表最终爆破失效压力。 -
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