Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6915886 | Computer Methods in Applied Mechanics and Engineering | 2016 | 19 Pages |
Abstract
This paper introduces a coupled approach between stochastic finite element methods and an adaptive condensation technique for the analysis of nonlinear mechanical problems under uncertainties. This coupling reduces the size of each individual nonlinear problem solved in SFE by the use of an adaptive condensation method. The reduced stiffnesses and other quantities necessary for the condensation technique are approximated using a second, low-order, polynomial expansion, thus taking advantage of the coupling with SFE. This approach also features a semi-analytical technique to compute accurately distributions of structural quantities of interest. This method is applied on an elasto-plastic steel bar with a small defect, and on a damaged beam under 4-point bending. In both cases it predicts the random behavior of the structure quite accurately, and is able to provide higher-order models than a state-of-the-art stochastic collocation method, for a reduced computation time.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Antoine Llau, Julien Baroth, Ludovic Jason, Frédéric Dufour,