Reference : A stochastic Galerkin cell-based smoothed finite element method (SGCS-FEM)

	Document type :	Scientific journals : Article
	Discipline(s) :	Engineering, computing & technology : Aerospace & aeronautics engineering Engineering, computing & technology : Civil engineering Engineering, computing & technology : Materials science & engineering Engineering, computing & technology : Mechanical engineering Engineering, computing & technology : Multidisciplinary, general & others
	Focus Areas :	Computational Sciences
	To cite this reference:	http://hdl.handle.net/10993/40777

Title :	A stochastic Galerkin cell-based smoothed finite element method (SGCS-FEM)
Language :	English
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]
Publication date :	Jul-2019
Journal title :	International Journal of Computational Methods
Publisher :	World Scientific Publishing Co.
Volume :	17
Issue/season :	8
Peer reviewed :	Yes (verified by ORBilu)
Audience :	International
ISSN :	0219-8762
Country :	Singapore
Keywords :	[en] 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.
Target :	Researchers ; Professionals
Permalink :	http://hdl.handle.net/10993/40777

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