Error bounds for the reliability index in finite element reliability analysis

• DOI: 10.1002/nme.3136
• Publication Date: 2011-02-01T11:38:25Z
• Authors: L. Gallimard
• Keywords: [SPI]Engineering Sciences [physics]; goal-oriented error estimation; FORM approximation; [SPI] Engineering Sciences [physics]; 0211 other engineering and technologies; reliability index; error bounds; finite element analysis; 02 engineering and technology; structural reliability

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