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Lookup NU author(s): Dr Xiaoyi Zhou, Professor Peter Gosling
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND).
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.
Author(s): Zhou X-Y, Gosling PD, Pearce CJ, Kaczmarczyk L, Ullah Z
Publication type: Article
Publication status: Published
Journal: Computer Methods in Applied Mechanics and Engineering
Year: 2016
Volume: 300
Pages: 84–105
Print publication date: 01/03/2016
Online publication date: 17/11/2015
Acceptance date: 15/10/2015
Date deposited: 09/11/2015
ISSN (print): 0020-7683
ISSN (electronic): 1879-2146
Publisher: Pergamon Press
URL: http://dx.doi.org/10.1016/j.cma.2015.10.020
DOI: 10.1016/j.cma.2015.10.020
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