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Statistically Consistent Generation of Random Fields for Multiphase Materials

[+] Author Affiliations
George M. Lloyd

ACTA Inc., Torrance, CA

Paper No. IMECE2010-39072, pp. 375-381; 7 pages
doi:10.1115/IMECE2010-39072
From:
  • ASME 2010 International Mechanical Engineering Congress and Exposition
  • Volume 9: Mechanics of Solids, Structures and Fluids
  • Vancouver, British Columbia, Canada, November 12–18, 2010
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-4446-5
  • Copyright © 2010 by ASME

abstract

A methodology is presented which facilitates the generation of high-fidelity realizations of stochastic fields for multiphase materials (such as a matrix with embedded inclusions), and thus allows consistent and realistic computational discretizations to be created in a straightforward manner. Examples of such random fields are concrete (in which aggregate particles are mixed with cement), geological substrata as modeled in reservoir and groundshock simulations, and modern rocket propellants, which consist of high energy constituents suspended in relatively homogeneous binders. The properties of such stochastic materials may include short-range orientational phenomena, mid-range spatial correlations, global geometric properties such as the marginal size distributions of the inclusions, and perhaps long-range orderings. While ad-hoc methodologies exist that can mimic certain of these stochastic properties through “tuning”, they can do so only in a limited way, are computationally expensive in their right, and cannot replicate measured stochastic properties in a direct and constructive way. The method described here is general in nature and computationally tractable, and allows an analyst to directly incorporate knowledge of empirical stochastic features of arbitrary form thought to be of greatest interest, as well as their cross-dependencies into a stochastic model.

Copyright © 2010 by ASME

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