Probabilistic Finite Elements for Fatigue and Fracture Analysis
Author | : National Aeronautics and Space Adm Nasa |
Publisher | : Independently Published |
Total Pages | : 64 |
Release | : 2018-11-07 |
ISBN-10 | : 1730831451 |
ISBN-13 | : 9781730831454 |
Rating | : 4/5 (454 Downloads) |
Download or read book Probabilistic Finite Elements for Fatigue and Fracture Analysis written by National Aeronautics and Space Adm Nasa and published by Independently Published. This book was released on 2018-11-07 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt: An overview of the probabilistic finite element method (PFEM) developed by the authors and their colleagues in recent years is presented. The primary focus is placed on the development of PFEM for both structural mechanics problems and fracture mechanics problems. The perturbation techniques are used as major tools for the analytical derivation. The following topics are covered: (1) representation and discretization of random fields; (2) development of PFEM for the general linear transient problem and nonlinear elasticity using Hu-Washizu variational principle; (3) computational aspects; (4) discussions of the application of PFEM to the reliability analysis of both brittle fracture and fatigue; and (5) a stochastic computational tool based on stochastic boundary element (SBEM). Results are obtained for the reliability index and corresponding probability of failure for: (1) fatigue crack growth; (2) defect geometry; (3) fatigue parameters; and (4) applied loads. These results show that initial defect is a critical parameter. Belytschko, Ted and Liu, Wing Kam Unspecified Center...