Implementation of XFEM for Fitness-For-Service Assessments in Life Extension and Damaged Structure Applications

Mengxi Liu, Smarty Mathew John, Jessie Lin, Amanda Massingill
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Abstract

Fitness-for-service (FFS) assessments are critical to the integrity management of offshore and subsea assets. Decisions regarding continued service life or the need for corrective action for damaged structures pivot on accurate FFS assessment results. While FFS assessments using failure assessment diagrams (FAD) and finite element method (FEM) have been successfully implemented on simple and regular geometries, they are not suitable for structures with complex geometries, transition of failure modes, presence of residual stress, and nonlinear fracture toughness. Extended finite element method (XFEM), a fracture mechanics-based approach enriched by extra functions around a crack, is capable of considering the above mentioned scenarios and evaluating the crack behavior. This paper demonstrates the performance of XFEM and validates the results obtained from XFEM. First, XFEM is implemented in assessing a stationary crack on ASTM Compact Test (CT) specimen to calculate the stress intensity factor (SIF) which the obtained results deviate from the analytical solution by less than 6% for various crack length cases. Following that, a cracked plate case treated with cold expansion technique is investigated. Its remaining fatigue life is obtained by simulating fatigue crack growth, under two sets of residual stresses generated by different mandrel diameters. The results are then compared to the crack arrest hole (CAH) approach. Through these case studies, XFEM shows adequacy for FFS applications. XFEM facilitates the modeling of the crack surface, and eliminates the need to remesh for crack growth analysis. Arbitrary structure geometries and loading combinations can be directly used in XFEM since the stress and strain responses are calculated in a conventional FEM framework. This means that the presence of local corrosion and dents, as well as transition of failure modes can be accounted for. The residual stress effect can be accurately calculated and considered for SIF calculation. Although XFEM appears to be a good solution for FFS application, adequate caution should be given to the mesh size selection and mesh orientation because they may cause slight or noticeable fluctuation of results. Therefore, a mesh sensitivity study is recommended.
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XFEM在延寿和受损结构中适用性评估的实现
服务适用性(FFS)评估对于海上和海底资产的完整性管理至关重要。关于持续使用寿命或损坏结构是否需要采取纠正措施的决定取决于准确的FFS评估结果。虽然使用失效评估图(FAD)和有限元法(FEM)对简单和规则的几何结构进行了FFS评估,但它们不适用于具有复杂几何形状、失效模式过渡、残余应力存在和非线性断裂韧性的结构。扩展有限元法(XFEM)是一种基于断裂力学的方法,它在裂纹周围添加了额外的函数,能够考虑上述情况并评估裂纹行为。本文对XFEM的性能进行了论证,并对XFEM的结果进行了验证。首先,利用XFEM对ASTM致密试验(CT)试样的静态裂纹进行评估,计算不同裂纹长度情况下所得结果与解析解偏差小于6%的应力强度因子(SIF)。然后,对用冷胀法处理的薄板裂纹进行了研究。在不同芯轴直径产生的两组残余应力下,通过模拟疲劳裂纹扩展得到其剩余疲劳寿命。然后将结果与裂纹止裂孔(CAH)方法进行比较。通过这些案例研究,XFEM显示出FFS应用的充分性。XFEM简化了裂纹表面的建模,并且消除了对裂纹扩展分析的网格划分。由于应力应变响应是在传统有限元框架中计算的,因此任意结构几何形状和荷载组合都可以直接用于XFEM。这意味着局部腐蚀和凹痕的存在,以及失效模式的转变都可以考虑在内。残余应力效应可以准确地计算和考虑到SIF的计算。虽然XFEM似乎是FFS应用的一个很好的解决方案,但应充分注意网格尺寸的选择和网格方向,因为它们可能导致结果轻微或明显的波动。因此,建议进行网格敏感性研究。
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