Error bounds for the reliability index in finite element reliability analysis

被引：14

作者：

Gallimard, L. ^{[1
]}

机构：

[1] Univ Paris Ouest Nanterre La Def, LEME, F-92410 Ville Davray, France

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 2011年 / 87卷 / 08期

关键词：

structural reliability; finite element analysis; error bounds; goal-oriented error estimation; reliability index; FORM approximation; LINEAR ELASTICITY; STRESS; STRATEGIES; ESTIMATOR; VARIABLES;

D O I：

10.1002/nme.3136

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This work presents an extension of the goal-oriented error estimation techniques to the reliability analysis of a linear elastic structure. We use a first-order reliability method in conjunction with a finite element analysis (FEA) to compute the failure probability of the structure. In such a situation the output of interest that is computed from the FEA is the reliability index beta. The accuracy of this output, and thus of the reliability analysis, depends, in particular, on the accuracy of the FEA. In this paper, upper and lower bounds of the reliability index are proposed, as well as simple bounds of the failure probability. An application to linear fracture mechanics is presented. Copyright (C) 2011 John Wiley & Sons, Ltd.

引用

页码：781 / 794

页数：14

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