Thick-Walled Cylindrical Specimens Under PTS Loading: Crack Propagation Analysis With XFEM-IGA

D. F. Mora Méndez, M. Niffenegger, G. Mao
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Abstract

The integrity assessment of reactor pressure vessel (RPV) often considers only the crack initiation to evaluate the safety margin and excludes the crack propagation analysis. In this contribution, the combined eXtended Finite Element (XFEM) method with the Initiation-Growth-Arrest (IGA) algorithm, shortly written as XFEM-IGA, is applied to a thick-walled cylindrical specimen with a circumferential crack under Pressurized Thermal Shock (PTS). The results of the crack propagation analysis are compared with the experimental ones to validate the approach, which were taken from large-scale experiments on thick-walled cylinders under PTS performed in the FALSIRE project. In order to simulate the cylinder with the XFEM-IGA approach, a reduced three dimensional finite element (FE) model of a small sector (a slice of the cylinder) is used by applying cyclic symmetry boundary conditions. Thus, the model profits from the cyclic symmetry not only of the cylinder geometry but also the circumferential crack. The closed-form for the stress intensity factor for an internal circumferential crack in a thick-walled cylinder is combined with the IGA algorithm and is presented to verify the quality of the results. The results are shown in terms of the SIF evolution and crack depth during the PTS transient. The crack depth shows several initiation-arrest-reinitiation cycles and final arrest. However, some differences in the number of these cycles and final crack depth are observed between the simulation and the experimental results.
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厚壁圆柱形试样在PTS载荷下的裂纹扩展分析
反应堆压力容器完整性评估通常只考虑裂纹起裂来评估安全裕度,而不考虑裂纹扩展分析。本文将扩展有限元(XFEM)方法与起始-生长-停止(IGA)算法(简称为XFEM-IGA)相结合,应用于加压热冲击(PTS)下具有周向裂纹的厚壁圆柱形试样。将裂纹扩展分析结果与实验结果进行了比较,验证了该方法的有效性,该方法是在ferdere项目的PTS下对厚壁圆柱体进行的大规模实验中得到的。为了用XFEM-IGA方法模拟圆柱体,通过应用循环对称边界条件,使用小扇形(圆柱体的一个切片)的简化三维有限元(FE)模型。因此,该模型不仅利用了圆柱几何的循环对称性,而且利用了周向裂纹的循环对称性。结合IGA算法,给出了厚壁圆柱体内周裂纹应力强度因子的封闭形式,并验证了计算结果的质量。结果显示在PTS瞬态过程中SIF的演化和裂纹深度。裂纹深度表现为几个起裂-止裂-再起裂循环和最终止裂。然而,这些循环次数和最终裂纹深度在模拟和实验结果之间存在一些差异。
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