Uncertainty quantification in multiscale simulation of woven fiber composites

Ramin Bostanabad, Biao Liang, Jiaying Gao, Wing Kam Liu, Jian Cao, Danielle Zeng, Xuming Su, Hongyi Xu, Yang Li, Wei Chen*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

78 Scopus citations


Woven fiber composites have been increasingly employed as light-weight materials in aerospace, construction, and transportation industries due to their superior properties. These materials possess a hierarchical structure that necessitates the use of multiscale simulations in their modeling. To account for the inherent uncertainty in materials, such simulations must be integrated with statistical uncertainty quantification (UQ) and propagation (UP) methods. However, limited advancement has been made in this regard due to the significant computational costs and complexities in modeling spatially correlated structural variations coupled at different scales. In this work, a non-intrusive approach is proposed for multiscale UQ and UP to address these limitations. We introduce the top-down sampling method that allows to model non-stationary and continuous (but not differentiable) spatial variations of uncertainty sources by creating nested random fields (RFs) where the hyperparameters of an ensemble of RFs is characterized by yet another RF. We employ multi-response Gaussian RFs in top-down sampling and leverage statistical techniques (such as metamodeling and dimensionality reduction) to address the considerable computational costs of multiscale simulations. We apply our approach to quantify the uncertainty in a cured woven composite due to spatial variations of yarn angle, fiber volume fraction, and fiber misalignment angle. Our results indicate that, even in linear analysis, the effect of uncertainty sources on the material's response could be significant.

Original languageEnglish (US)
Pages (from-to)506-532
Number of pages27
JournalComputer Methods in Applied Mechanics and Engineering
StatePublished - Aug 15 2018


  • Multiscale simulations
  • Random fields
  • Spatial variations
  • Uncertainty quantification and propagation
  • Woven composites

ASJC Scopus subject areas

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


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