Multiscale stochastic finite element modeling of random elastic heterogeneous materials

In Xu et al. (Comput Struct 87:1416–1426, 2009) a novel Green-function-based multiscale stochastic finite element method (MSFEM) was proposed to model boundary value problems involving random heterogeneous materials. In this paper, we describe in detail computational aspects of the MSFEM explicitly...

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Bibliographic Details
Published inComputational mechanics Vol. 45; no. 6; pp. 607 - 621
Main Authors Shen, Lihua, Xu, X. Frank
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer-Verlag 01.05.2010
Springer
Springer Nature B.V
Subjects
Algorithms
Analysis
Boundary value problems
Classical and Continuum Physics
Computation
Computational Science and Engineering
Convergence
Engineering
Finite element method
Mathematical analysis
Mathematical models
Multiscale analysis
Numerical analysis
Original Paper
Stochasticity
Theoretical and Applied Mechanics
Finite element method
Random heterogeneous materials
Multiscale stochastic
Green-function-based
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ISSN0178-7675
1432-0924
DOI10.1007/s00466-010-0474-4

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Summary:In Xu et al. (Comput Struct 87:1416–1426, 2009) a novel Green-function-based multiscale stochastic finite element method (MSFEM) was proposed to model boundary value problems involving random heterogeneous materials. In this paper, we describe in detail computational aspects of the MSFEM explicitly across macro–meso–micro scales. Different numerical algorithms are introduced and compared in terms of numerical accuracy and convergence.
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ISSN:0178-7675
1432-0924
DOI:10.1007/s00466-010-0474-4