A stochastic multiscale method for the elastodynamic wave equation arising from fiber composites

Ivo Babuška, Mohammad Motamed, Raul Tempone

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

We present a stochastic multilevel global–local algorithm for computing elastic waves propagating in fiber-reinforced composite materials. Here, the materials properties and the size and location of fibers may be random. The method aims at approximating statistical moments of some given quantities of interest, such as stresses, in regions of relatively small size, e.g. hot spots or zones that are deemed vulnerable to failure. For a fiber-reinforced cross-plied laminate, we introduce three problems (macro, meso, micro) corresponding to the three natural scales, namely the sizes of laminate, ply, and fiber. The algorithm uses the homogenized global solution to construct a good local approximation that captures the microscale features of the real solution. We perform numerical experiments to show the applicability and efficiency of the method.
Original languageEnglish (US)
Pages (from-to)190-211
Number of pages22
JournalComputer Methods in Applied Mechanics and Engineering
Volume276
DOIs
StatePublished - Mar 22 2014

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Mechanics of Materials
  • Mechanical Engineering
  • Computational Mechanics
  • Computer Science Applications

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