基于Weibull分布的缺口件多轴疲劳寿命建模

摘要/Abstract

摘要： 针对多轴缺口件,引入Weibull分布建立考虑应力梯度效应的疲劳寿命预测方法.首先,将最大应变能密度定义为损伤参量,并结合坐标变换确定能反映裂纹萌生和扩展的临界面位置;其次,利用有限元方法提取临界面特定路径的应力分布,并对其进行归一化处理得到多轴等效应力梯度因子,进而基于GSP应变能密度模型得出应变能密度与实验寿命的线性关系;最后,结合等效应力梯度因子、应变能密度模型和Weibull分布,基于Von-Mises准则提出了新的疲劳寿命预测方法,并利用该方法分别求出失效概率10%、50%和90%对应的疲劳寿命.为验证该方法,将计算结果与SWT模型、FS模型和Manson-Coffin方程的计算结果进行对比,结果表明该方法的预测精度较高.

关键词: 多轴缺口件, 应力梯度效应, Weibull分布, 临界面法

Abstract: In order to investigate the influence of stress gradient on the fatigue life of notched parts and to assess the fatigue life of notched parts with different failure probabilities, a new fatigue life prediction method based on Weibull distribution is proposed. First, the maximum strain energy density is defined as the damage parameter, and the location of the critical plane reflecting the crack initiation and expansion is determined by combining the coordinate transformation principle. Secondly, the stress distribution of a specific path on the critical plane is extracted by using the finite element method, which is then normalized to obtain the multiaxial equivalent stress gradient factor. Meanwhile, based on the GSP strain energy density model, an appropriate strain energy density model is selected, and the linear relationship between the strain energy density and the experimental life can be obtained. Finally, a new fatigue life prediction method is proposed based on the Von-Mises criterion by combining the equivalent stress gradient factor, the strain energy density model, and the Weibull distribution, which can be used to find the fatigue life at 10%, 50%, and 90% failure probability respectively. In order to verify the accuracy of the proposed model, the calculation results of this paper are compared with those of the SWT model, the FS model, and the Manson-Coffin equation, demonstrating a high degree of precision in the predictions.

Key words: multiaxial notched parts, stress gradient effect, Weibull distribution, critical plane method

中图分类号:

TH114
O346.2

刘俭辉, 何英宝, 韦尧兵. 基于Weibull分布的缺口件多轴疲劳寿命建模[J]. 兰州理工大学学报, 2024, 50(5): 32-38.

LIU Jian-hui, HE Ying-bao, WEI Yao-bing. Multiaxial fatigue life modeling of notched parts based on Weibull distribution[J]. Journal of Lanzhou University of Technology, 2024, 50(5): 32-38.

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