Article (Scientific journals)
A stochastic Galerkin cell-based smoothed finite element method (SGCS-FEM)
Mathew, Tittu; Beex, Lars; Bordas, Stéphane et al.
2019In International Journal of Computational Methods, 17 (8)
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Keywords :
Stochastic Galerkin Cell-based Smoothed Finite Element Method (SGCS- FEM); Karhunen-Loeve expansion (KLE); Polynomial Chaos Expansion (PLE); Random Material Properties; Free Vibrations
Abstract :
[en] In this paper, the cell based smoothed finite element method is extended to solve stochastic partial diff erential equations with uncertain input parameters. The spatial field of Young's moduli and the corresponding stochastic results are represented by Karhunen-Lo eve expansion and polynomial chaos expansion, respectively. The Young's Modulus of structure is considered to be random for stochastic static as well as free vibration problems. Mathematical expressions and the solution procedure are articulated in detail to evaluate the statistical characteristics of responses in terms of static displacements and free vibration frequencies. The feasibility and eff ectiveness of the proposed SGCS-FEM method in terms of accuracy and lower requirement on the mesh size in the solution domain over that of conventional FEM for stochastic problems are demonstrated by carefully chosen numerical examples. From the numerical study, it is inferred that the proposed framework is computationally less demanding without compromising accuracy.
Disciplines :
Civil engineering
Engineering, computing & technology: Multidisciplinary, general & others
Aerospace & aeronautics engineering
Mechanical engineering
Materials science & engineering
Author, co-author :
Mathew, Tittu;  Indian Institute of Technology Madras > Mechanical Engineering
Beex, Lars ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
Bordas, Stéphane ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
Natarajan, Sundararajan;  Indian Institute of Technology Madras > Mechanical Engineering
External co-authors :
yes
Language :
English
Title :
A stochastic Galerkin cell-based smoothed finite element method (SGCS-FEM)
Publication date :
July 2019
Journal title :
International Journal of Computational Methods
ISSN :
0219-8762
Publisher :
World Scientific Publishing Co., Singapore
Volume :
17
Issue :
8
Peer reviewed :
Peer Reviewed verified by ORBi
Focus Area :
Computational Sciences
Available on ORBilu :
since 26 October 2019

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