有限元法
结构工程
可靠性(半导体)
巴黎法
模式(计算机接口)
混合模式
材料科学
可靠性工程
计算机科学
工程类
断裂力学
裂缝闭合
复合材料
物理
功率(物理)
量子力学
操作系统
作者
Guizhong Xie,Jinghui Li,Hao Li,Shizhe Feng,Zhaohui Xia,Hongfei Zhai,Rongjie Huang,Chao Wu,Jun Liu
标识
DOI:10.1142/s0219455426504122
摘要
Structural fatigue cracking is an important cause of the failure of engineering structures. Accurately predicting the crack growth behavior of structures and evaluating the structural reliability are crucial for ensuring structural safety and extending the service life. To address this challenge, this paper proposes a reliability analysis method for fatigue crack growth based on the extended finite element method (XFEM). Due to the nonlinear relationship between the uncertain parameters of the cracked structure and the crack length, as well as the stress intensity factor (SIF), the limit state function (LSF) is highly complex. Consequently, the surrogate model is used to establish this relationship. The uncertain structural parameters are sampled using Latin hypercube sampling (LHS), and then XFEM is employed to simulate the crack propagation to obtain a sample dataset. Based on the sample data set, the response surface method (RSM) is applied to establish a surrogate model of the LSF between the uncertain parameters of the cracked structure and the crack growth length, as well as the SIF. The reliability index and failure probability are obtained through the first-order reliability method (FORM), the second-order reliability method (SORM) and the subset simulation (SS) method. By comparing with the Monte Carlo (MC) method, it is found that the SS method has a high accuracy and can provide a new idea for the reliability analysis of structural crack growth.
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