Perturbation-based stochastic multi-scale computational homogenization method for the determination of the effective properties of composite materials with random properties

X. -Y. Zhou, P. D. Gosling, C. J. Pearce, L. Kaczmarczyk, Z. Ullah

Research output: Contribution to journalArticle

26 Citations (Scopus)
12 Downloads (Pure)

Abstract

Quantifying uncertainty in the overall elastic properties of composite materials arising from randomness in the material properties and geometry of composites at microscopic level is crucial in the stochastic analysis of composites. In this paper, a stochastic multi-scale finite element method, which couples the multi-scale computational homogenization method with the second-order perturbation technique, is proposed to calculate the statistics of the overall elasticity properties of composite materials in terms of the mean value and standard deviation. The uncertainties associated with the material properties of the constituents are considered. Performance of the proposed method is evaluated by comparing mean values and coefficients of variation for components of the effective elastic tensor against corresponding values calculated using Monte Carlo simulation for three numerical examples. Results demonstrate that the proposed method has sufficient accuracy to capture the variability in effective elastic properties of the composite induced by randomness in the constituent material properties.
Original languageEnglish
Pages (from-to)84-105
JournalComputer Methods in Applied Mechanics and Engineering
Volume300
DOIs
Publication statusAccepted/In press - 18 Aug 2015

Keywords

  • Composites
  • Effective elastic properties
  • Computational multi-scale homogenization
  • Stochastic finite element method
  • Perturbation technique

Fingerprint Dive into the research topics of 'Perturbation-based stochastic multi-scale computational homogenization method for the determination of the effective properties of composite materials with random properties'. Together they form a unique fingerprint.

Cite this