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Stochastic multiscale modeling with random fields of material properties defined on nonconvex domains

Publication ,  Journal Article
Chu, S; Guilleminot, J
Published in: Mechanics Research Communications
April 1, 2019

A methodology to model and generate spatially dependent material uncertainties in stochastic multiscale analysis is proposed. The approach consists in defining non-Gaussian random fields through transport maps acting on Gaussian fields, defined by appropriately filtering a Gaussian white noise. In contrast to standard covariance-based representations, the proposed strategy can efficiently accommodate the case of fields with anisotropic correlation structures on nonconvex domains. This case is especially relevant to computational homogenization involving random microstructures with connected phases. The theoretical stochastic framework is first laid down. A numerical application associated with a polydisperse random microstructure is then presented to illustrate various aspects of the method.

Duke Scholars

Published In

Mechanics Research Communications

DOI

ISSN

0093-6413

Publication Date

April 1, 2019

Volume

97

Start / End Page

39 / 45

Related Subject Headings

  • Mechanical Engineering & Transports
  • 4901 Applied mathematics
  • 4017 Mechanical engineering
  • 4005 Civil engineering
  • 0913 Mechanical Engineering
  • 0905 Civil Engineering
  • 0102 Applied Mathematics
 

Citation

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Chu, S., & Guilleminot, J. (2019). Stochastic multiscale modeling with random fields of material properties defined on nonconvex domains. Mechanics Research Communications, 97, 39–45. https://doi.org/10.1016/j.mechrescom.2019.01.008
Chu, S., and J. Guilleminot. “Stochastic multiscale modeling with random fields of material properties defined on nonconvex domains.” Mechanics Research Communications 97 (April 1, 2019): 39–45. https://doi.org/10.1016/j.mechrescom.2019.01.008.
Chu S, Guilleminot J. Stochastic multiscale modeling with random fields of material properties defined on nonconvex domains. Mechanics Research Communications. 2019 Apr 1;97:39–45.
Chu, S., and J. Guilleminot. “Stochastic multiscale modeling with random fields of material properties defined on nonconvex domains.” Mechanics Research Communications, vol. 97, Apr. 2019, pp. 39–45. Scopus, doi:10.1016/j.mechrescom.2019.01.008.
Chu S, Guilleminot J. Stochastic multiscale modeling with random fields of material properties defined on nonconvex domains. Mechanics Research Communications. 2019 Apr 1;97:39–45.
Journal cover image

Published In

Mechanics Research Communications

DOI

ISSN

0093-6413

Publication Date

April 1, 2019

Volume

97

Start / End Page

39 / 45

Related Subject Headings

  • Mechanical Engineering & Transports
  • 4901 Applied mathematics
  • 4017 Mechanical engineering
  • 4005 Civil engineering
  • 0913 Mechanical Engineering
  • 0905 Civil Engineering
  • 0102 Applied Mathematics