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Multiscale stochastic finite element modeling of random elastic heterogeneous materials

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Abstract

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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Authors and Affiliations

  1. College of Mathematical Science, Institute of Mathematics and Interdisciplinary Science, Capital Normal University, Beijing, 100048, China

    Lihua Shen

  2. Department of Civil, Environmental, and Ocean Engineering, Stevens Institute of Technology, Hoboken, NJ, 07030, USA

    X. Frank Xu

Authors
  1. Lihua Shen
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  2. X. Frank Xu
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Correspondence to X. Frank Xu.

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Shen, L., Xu, X.F. Multiscale stochastic finite element modeling of random elastic heterogeneous materials. Comput Mech 45, 607–621 (2010). https://doi.org/10.1007/s00466-010-0474-4

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  • DOI: https://doi.org/10.1007/s00466-010-0474-4

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