Song Qi, Peng Huifen, Yao Junyu, Luo Min
Research Center of Coastal and Urban Geo-Technical Engineering, College of Civil Engineering and Architecture, Zhejiang University, Hangzhou, Zhejiang, China.
School of Mechanical Science and Engineering, Northeast Petroleum University, Daqing, Heilongjiang, China.
PLoS One. 2024 Dec 26;19(12):e0301015. doi: 10.1371/journal.pone.0301015. eCollection 2024.
The proposed work aims to demonstrate the significance of the plastic zone at the tip of an axial crack in a pipeline for managing Stress IntensityFactors(SIF). The three-dimensional finite element model of pressure pipeline with axial cracks was built by utilizing the Ramberg-Osgood X80 material model of pipeline. according to Von Mises yield criterion, the size of plastic zone at crack tip was determined, and the fracture parameters were calculated based on interaction integral method, the plastic stress deformation law, determination of elastic-plastic limit load and plastic correction of SIF at crack tip of pressure pipeline with axial crack were discussed. Consequently, it is observed that the elastic-plastic limit load diminishes as the initial crack length increases under specified pipe geometry and material conditions. the plastic zone dimensions at the crack tip of the pipeline expand proportionally with the relative crack length (δ). Moreover, the relative error between the Stress Intensity Factors (SIF) before and after plastic correction exhibits nonlinear growth in response to increasing internal pressure within the pipeline. Notably, when assessing coefficients prior to plasticity corrections, it becomes evident that the maximum error may exceed 20% as the internal pressure rises. Importantly, the empirical verification data substantially aligns with the previously mentioned theoretical analysis results in a noteworthy concurrence.
所提出的工作旨在证明管道轴向裂纹尖端塑性区在管理应力强度因子(SIF)方面的重要性。利用管道的Ramberg-Osgood X80材料模型建立了含轴向裂纹压力管道的三维有限元模型。根据冯·米塞斯屈服准则,确定了裂纹尖端塑性区的大小,并基于交互积分法计算了断裂参数,讨论了含轴向裂纹压力管道裂纹尖端的塑性应力变形规律、弹塑性极限载荷的确定以及应力强度因子的塑性修正。结果表明,在特定的管道几何形状和材料条件下,弹塑性极限载荷随着初始裂纹长度的增加而减小。管道裂纹尖端的塑性区尺寸与相对裂纹长度(δ)成比例扩大。此外,塑性修正前后的应力强度因子(SIF)之间的相对误差随着管道内压力的增加呈现非线性增长。值得注意的是,在评估塑性修正之前的系数时,很明显随着内压升高,最大误差可能超过20%。重要的是,经验验证数据与上述理论分析结果在显著的一致性上基本吻合。