文档介绍：第 38 卷
第 3 期吉林大学学报( 工学版)
Vol. 38
No. 3
2008 年 5 月 Journal o f Jilin U niv ersity ( Engineering and T echnolo gy Edition)
May 2008
含多裂纹结构的断裂可靠性分析
孟广伟, 赵云亮, 李
锋, 沙丽荣
( 吉林大学机械科学与工程学院, 长春 130022)
摘
要: 基于随机有限元法和可靠性设计理论, 建立了一种含多裂纹结构的断裂可靠性分析模
型。首先, 根据最小二乘法则建立应力强度因子的表达式, 然后将影响结构断裂的不确定因素
视为随机变量, 通过一阶二次矩法和随机有限元法求出每条裂纹的可靠度指标, 最后将含多裂
纹结构看作一个由所有裂纹组成的串联系统, 求出各裂纹之间的相关系数, 并得出多裂纹结构
失效概率的 Ditlev sen 界限值。数值算例表明, 本方法具有较强的适用性。
关键词: 固体力学; 断裂; 可靠性; 多裂纹; 一阶二次矩法; 随机有限元法
中图分类号: O346. 1
文献标识码: A
文章编号: 1671-5497( 2008) 03-0614-05
Reliability analysis of structures with mult-i crack
Meng Guang-w ei, Zhao Yun-liang, Li Feng, Sha L-i ro ng
( Col lege of M echanical Science and E ngi neering , J ilin Uni versity , Changchun 130022, China)
Abstract: Based on stochastic finite element m ethod and reliability theory, a reliability analysis mo del
fo r str uctures w ith mult-i crack w as presented. Firstly , the expression of stress intensity factors w as
pro posed using the least squares metho d. Secondly, uncertainties in mater ial parameters, cr ack length
and loading w hich affect fracture o f str uctures w ere described as r ando m variables, the reliability
index for each cr ack w as obtained by first order reliability metho d and stochastic finite elem ent
method. Finally, the structure w ith m ult-i cracks w as taken as a series sy stem co mposed of all cracks,