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超高压容器典型裂纹自由表面处应力强度因子的计算方法改进OA

Improvement of the Calculation Method for Stress Intensity Factors at the Free Surface of Typical Cracks in Ultra-High-Pressure Vessel

中文摘要英文摘要

自由表面处应力强度因子是超高压容器典型裂纹扩展及寿命预测过程中的核心计算参数,在分段线性插值方法的基础之上加以改进,提出了一种基于高阶多项式拟合计算的方法.以盲底裂纹为例,采用不同次数的多项式拟合了不同采集数据量下的应力数据;按该方法进行了不同裂纹下自由表面处应力强度因子的计算,并围绕多项式次数和采集数据量展开研究,探究了二者对计算结果的影响规律;在不同的裂纹深长比下,对比分析了该方法与文献中推荐的线性插值方法及有限元法的差异.结果表明,计算结果随着多项式次数的增加,表现出逐渐逼近且收敛的趋势,常规三次与高阶多项式拟合的计算结果最小相对误差约为-30%;采集数据量不断增多时,计算结果逐渐向稳定值收敛,对比数据量偏少与偏多场景下的计算结果,其最大相对误差约为 11%;该方法与文献中的线性插值方法及有限元法的计算结果均基本一致,吻合度较高,且适用于裂纹动态扩展及寿命预测过程中.

The stress intensity factor at the free surface is a core calculation parameter in the typical crack propagation and life prediction process of ultra-high-pressure vessels.Based on the segmented linear interpola-tion method,an improved method based on high-order polynomial fitting calculation was proposed.With blind bottom cracks as an example,stress data under different collected data volumes were fitted by means of poly-nomials of different orders;The stress intensity factors at the free surface of different cracks was calculated with this method,and the effects of polynomial orders and data amounts on the calculation results were ex-plored;At different crack depth to length ratios,the differences between this method and the recommended lin-ear interpolation method in previous literatures and the finite element method,were compared and analyzed.The results indicate that,as the polynomial order increases,the calculation results show a gradually approac-hing and converging trend.The minimum relative error of the calculation results for conventional cubic and high-order polynomial fitting is about-30%;As the collected data amount continues to increase,the calcula-tion results gradually converge towards a stable value.Comparison of calculation results between the cases with less and more data shows that,the maximum relative error can reach about 11%.This method,with its calcula-tion results,is basically consistent with the linear interpolation method in the previous literatures and the finite element method,and is suitable for dynamic crack propagation and life prediction processes.

汪志福;危书涛;张元迪;郑健

合肥通用机械研究院有限公司 国家压力容器与管道安全工程技术研究中心,合肥 230031合肥通用机械研究院有限公司 国家压力容器与管道安全工程技术研究中心,合肥 230031合肥通用机械研究院有限公司 国家压力容器与管道安全工程技术研究中心,合肥 230031合肥通用机械研究院有限公司 国家压力容器与管道安全工程技术研究中心,合肥 230031

机械制造

超高压容器裂纹扩展高阶多项式拟合裂纹自由表面处应力强度因子

ultra-high-pressure vesselcrack propagationhigh order polynomial fittingfree surface of crackstress intensity factorcalculation method improvement

《应用数学和力学》 2026 (2)

178-188,11

国家重点研发计划(2023YFB3408301)

10.21656/1000-0887.460176

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