Application of Modern Approaches to the Numerical Modeling of the Stress-Strain State for the Strength Assessment of Complex Units of the NPP Primary Circuit Equipment. Part 2. Extended Finite Element Method

IF 0.7 4区 材料科学 Q4 MATERIALS SCIENCE, CHARACTERIZATION & TESTING Strength of Materials Pub Date : 2023-12-05 DOI:10.1007/s11223-023-00579-4
E. O. Kondryakov
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Abstract

Along with the classical finite element method (FEM), other calculation methods for assessing crack resistance characteristics are currently being actively developed. This is due to the existing shortcomings of the FEM caused by the dependence of the calculation results on the density of the finite element mesh. One of the promising methods being developed in world practice is the extended finite element method (XFEM), which allows obtaining satisfactory calculation results while simplifying the crack modeling procedure and saving calculation time. In this paper, three problems are numerically modeled using the classical FEM and XFEM methods: calculation of a disc crack in a cube under uniaxial tension, calculation of the off-center tension of a compact CT specimen, and calculation of a cylindrical part of an NPP reactor vessel with a semi-elliptical crack under thermal shock. The obtained results showed that the extended finite element method gives sufficiently accurate results compared to analytical solutions and the classical FEM. At the same time, using the XFEM method does not require considering the singularity of stresses at the crack tip when building an FE model. Therefore, the minimum size of the FE can be increased by almost five times while maintaining the accuracy of the results. This greatly simplifies the procedure for constructing the FE mesh, reduces the total number of FEs in the model, and saves computational time. Thus, the XFEM method can be used to calculate the crack resistance characteristics and improve the efficiency of assessing the resistance to brittle fracture of structural elements.

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现代方法在核电厂一次回路设备复杂单元强度评估中应力-应变状态数值模拟中的应用第2部分。扩展有限元法
除了经典的有限元法外,其它评估抗裂特性的计算方法也在积极发展。这是由于有限元法存在的计算结果依赖于有限元网格密度的缺点。扩展有限元法(XFEM)是目前在世界实践中发展起来的一种很有前途的方法,它可以在简化裂纹建模程序和节省计算时间的同时得到令人满意的计算结果。本文采用经典有限元法和XFEM方法对立方体盘状裂纹在单轴拉伸作用下的计算、致密CT试样离中心拉伸作用下的计算以及含半椭圆裂纹的核电厂反应堆容器圆柱形部分在热冲击作用下的计算进行了数值模拟。结果表明,与解析解和经典有限元法相比,扩展有限元法给出了足够精确的结果。同时,采用XFEM方法建立有限元模型时不需要考虑裂纹尖端应力的奇异性。因此,有限元的最小尺寸可以增加近五倍,同时保持结果的准确性。这大大简化了有限元网格的构建过程,减少了模型中有限元网格的总数,节省了计算时间。因此,可以利用XFEM方法计算结构构件的抗裂特性,提高结构构件抗脆性断裂评估的效率。
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来源期刊
Strength of Materials
Strength of Materials MATERIALS SCIENCE, CHARACTERIZATION & TESTING-
CiteScore
1.20
自引率
14.30%
发文量
89
审稿时长
6-12 weeks
期刊介绍: Strength of Materials focuses on the strength of materials and structural components subjected to different types of force and thermal loadings, the limiting strength criteria of structures, and the theory of strength of structures. Consideration is given to actual operating conditions, problems of crack resistance and theories of failure, the theory of oscillations of real mechanical systems, and calculations of the stress-strain state of structural components.
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