基于XFEM的二维腐蚀缺陷裂纹失效压力预测

Xinfang Zhang, Allan Okodi, Leichuan Tan, J. Leung, S. Adeeb
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引用次数: 1

摘要

老化管道可能会经历几种不同类型的退化,如裂纹和腐蚀,这对管道的完整性造成了严重的影响。混合缺陷,如腐蚀裂纹(CIC),建模和理解是具有挑战性的。例如,用有限元法(FEM)预测破坏压力是比较困难的;因此,本文引入了扩展有限元法(XFEM)。传统有限元法需要非常精细的网格,无法模拟动态裂纹扩展,而XFEM无需更新网格单元来跟踪裂纹路径,因此计算效率高。本文旨在研究XFEM在二维CIC缺陷破坏压力预测中的适用性。特别研究了网格尺寸敏感性和不同CIC参数对最终破坏压力的影响。本模拟研究采用ABAQUS v 6.14。为简单起见,假设水平面周围对称,只对管道的一半进行建模。在管道的外部放置一个CIC缺陷。腐蚀区域假定为半椭圆,裂纹模拟为纵向裂纹。在本文中,当裂纹扩展到最后一个单元时,满足破坏准则。建立了几个模型,其中在裂纹尖端的单元的长度和宽度是改变的。确定了最佳网格尺寸,并将其应用于其他几个模型中,以研究裂纹深度、腐蚀区域宽度和腐蚀剖面的影响。结果表明:当总缺陷深度为壁厚的50%时,裂纹破坏压力随裂纹深度的增加而减小,腐蚀区域宽度和腐蚀剖面对破坏压力的影响次要;此外,CIC缺陷的失效压力介于纯裂纹缺陷和纯腐蚀缺陷之间。当裂纹深度大于总缺陷面积的50%时,CIC缺陷可视为仅裂纹缺陷,裂纹深度等于总缺陷深度。
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Failure Pressure Prediction of Crack in Corrosion Defects in 2D by Using XFEM
Aging pipelines may experience several different types of degradation, such as crack and corrosion, which pose serious concerns for the pipeline integrity. Hybrid flaws such as crack-in-corrosion (CIC), can be challenging to model and understand. For instance, predicting the failure pressure using the finite element method (FEM) is relatively difficult; therefore, the extended finite element method (XFEM) is introduced here. Compared to the conventional FEM, which requires extremely fine meshes and is impractical for modelling dynamic crack propagation, XFEM is computationally efficient as there is no need to update the mesh elements for tracking the crack path. This paper aims to study the applicability of XFEM in predicting the failure pressure of CIC defects in 2D. In particular, mesh size sensitivity and the effects of different CIC parameters on the final failure pressure were examined. ABAQUS v 6.14 was used for this simulation study. For simplicity, only half of the pipe was modelled assuming symmetry around the horizontal plane. A CIC defect was placed at the exterior of the pipe. The corroded area was assumed to be semi-elliptical, and the crack was simulated as a longitudinal crack. In this paper, failure criterion was satisfied when the crack has propagated to the last element. Several models were built in which the length and width of the elements at the crack tip were changed. An optimum mesh size was determined and was applied subsequently in several other models to study the impacts of crack depths, corroded area widths, and corrosion profiles. The results showed that when the total defect depth was fixed at 50% of the wall thickness, the failure pressure decreased with increasing the crack depth, while both corroded area width and corrosion profile only have a secondary effect on the failure pressure. In addition, the failure pressure of a CIC defect was bound between that of a crack-only defect and a corrosion-only defect. When the depth of the crack is higher than 50% of the total defect area, the CIC defect can be treated as a crack only defect with a crack depth equal to the total defect depth.
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