摘要
应用最小二乘法求解了模拟天然气管道裂纹稳定扩展问题的等效梁模型．在Williams等效梁模型的基础上，通过管道裂纹后部截面开裂后的变形协调条件，补充了弹性地基对于等效梁的作用，推导出梁的分析模型，并应用最小二乘法求得了裂纹驱动力和位移的解答．其结果与Leevers所给出的不考虑弹性地基对于梁的作用结果比较，改进了梁模型的计算精度，使裂纹驱动力成为合理的有限值，与已有的试验结果吻合较好．
The analytical model and least square method computation for dynamic crack propagation in the gas pipelines have been developed in this paper. Based on Williams suggestion and considered the effect of elastic foundation, this paper presents a very simple beam model for crack propagation in a pipe in which axial bending is coupled to radial expansion through a compatibility condition. Using the least squares method to do an analysis calculation, addtional assumptions to the model are not necessary during the calculation process. In contrast, it was necessary to ignore the foundation term in Leevers’solution. The result is that the maximum crack driving force becomes limited as the pressure decay length increases and the accuracy of the computed results is improved.
出处
《固体力学学报》
CAS
CSCD
北大核心
1997年第3期229-239,共11页
Chinese Journal of Solid Mechanics
关键词
断裂动力学
天然气管道
计算模型
最小二乘法
fracture dynamic, gas pipelines, calculation model, numerical simulation, least squares method
