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. (2016) 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. (doi:10.1016/j.cma.2015.10.020)

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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 coeffcients 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 suffcient accuracy to capture the variability in effective elastic properties of the composite induced by randomness in the constituent material properties.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Kaczmarczyk, Dr Lukasz and Ullah, Dr Zahur and Pearce, Professor Christopher
Authors: Zhou, X.-Y., Gosling, P.D., Pearce, C.J., Kaczmarczyk, L., and Ullah, Z.
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
Journal Name:Computer Methods in Applied Mechanics and Engineering
Publisher:Elsevier
ISSN:0045-7825
ISSN (Online):1879-2138
Published Online:17 November 2015
Copyright Holders:Copyright © 2015 Elsevier B.V.
First Published:First published in Computer Methods in Applied Mechanics and Engineering 300: 84-105
Publisher Policy:Reproduced under a Creative Commons License

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
618241Providing Confidence in Durable Composites (DURACOMP)Christopher PearceEngineering & Physical Sciences Research Council (EPSRC)EP/K026925/1ENG - ENGINEERING INFRASTRUCTURE & ENVIR