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

Zhou, X. -Y., Gosling, P. D., Pearce, C. J., Kaczmarczyk, L. and Ullah, Z. (2015) Perturbation-based stochastic multi-scale computational homogenization method for the determination of the effective properties of composite materials with random properties. Computer Methods in Applied Mechanics and Engineering, 300 . pp. 84-105. [Journal article]

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URL: http://www.sciencedirect.com/science/article/pii/S0045782515003497

DOI: 10.1016/j.cma.2015.10.020

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.

Item Type:Journal article
Keywords:Composites, Effective elastic properties, Computational multi-scale homogenization, Stochastic finite element method, Perturbation technique
Faculties and Schools:Faculty of Computing & Engineering
Faculty of Computing & Engineering > School of Engineering
ID Code:38498
Deposited By: Dr Zahur Ullah
Deposited On:05 Sep 2017 10:51
Last Modified:17 Oct 2017 16:31

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