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Condensed SFEs for nonlinear mechanical problems

Llau, Antoine ; Baroth, Julien ; Jason, Ludovic ; Dufour, Frédéric

Computer Methods in Applied Mechanics and Engineering, 01 September 2016, Vol.309, pp.434-452 [Tạp chí có phản biện]

ISSN: 0045-7825 ; E-ISSN: 1879-2138 ; DOI: 10.1016/j.cma.2016.06.014

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  • Nhan đề:
    Condensed SFEs for nonlinear mechanical problems
  • Tác giả: Llau, Antoine ; Baroth, Julien ; Jason, Ludovic ; Dufour, Frédéric
  • Chủ đề: Stochastic Finite Elements ; Concrete Cracking ; Collocation ; Static Condensation ; Metamodels ; Engineering ; Applied Sciences
  • Là 1 phần của: Computer Methods in Applied Mechanics and Engineering, 01 September 2016, Vol.309, pp.434-452
  • Mô tả: 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....
  • Ngôn ngữ: English
  • Số nhận dạng: ISSN: 0045-7825 ; E-ISSN: 1879-2138 ; DOI: 10.1016/j.cma.2016.06.014

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