TY - JOUR

T1 - Stochastic homogenized effective properties of three-dimensional composite material with full randomness and correlation in the microstructure

AU - Ma, Juan

AU - Zhang, Suqin

AU - Wriggers, Peter

AU - Gao, Wei

AU - De Lorenzis, Laura

N1 - Funding Information: The first author gratefully acknowledges the support of the Alexander von Humboldt-Stiftung through a ‘Humboldt Research Fellowship for Postdoctoral Researchers’ for a research stay at the Leibniz Universität Hannover. The support of Natural Science Foundation of China to the Project ( 11102143 ) “Random homogenization of heterogeneous materials with infinitesimal and finite deformation” is also sincerely acknowledged. L. De Lorenzis would like to acknowledge the European Research Council , ERC Starting Researcher Grant “INTERFACES”, Grant Agreement N. 279439 . Publisher Copyright: © 2014 Elsevier Ltd. All rights reserved. Copyright: Copyright 2014 Elsevier B.V., All rights reserved.

PY - 2014/9/3

Y1 - 2014/9/3

N2 - In this work, random homogenization analysis for the effective properties of composite materials with unidirectional fibers is addressed by combining the equivalent inclusion method with the Random Factor Method (RFM). The randomness of the micro-structural morphology and constituent material properties as well as the correlation among these random parameters are fully considered, and stochastic effective properties including effective elastic tensor and effective elastic properties together with their correlation are sought. Results from the RFM and the Monte-Carlo Method (MCM) are compared, and the impact of randomness and correlation of the micro-structural parameters on the random homogenized results are investigated by the two methods. Finally, the correlation coefficients of the effective properties are obtained by the MCM. The RFM is found to deliver rapid results with comparable accuracy to the MCM approach.

AB - In this work, random homogenization analysis for the effective properties of composite materials with unidirectional fibers is addressed by combining the equivalent inclusion method with the Random Factor Method (RFM). The randomness of the micro-structural morphology and constituent material properties as well as the correlation among these random parameters are fully considered, and stochastic effective properties including effective elastic tensor and effective elastic properties together with their correlation are sought. Results from the RFM and the Monte-Carlo Method (MCM) are compared, and the impact of randomness and correlation of the micro-structural parameters on the random homogenized results are investigated by the two methods. Finally, the correlation coefficients of the effective properties are obtained by the MCM. The RFM is found to deliver rapid results with comparable accuracy to the MCM approach.

KW - Monte-Carlo method

KW - Random effective properties

KW - Random factor method

KW - Random homogenization

KW - Randomness and correlation

UR - http://www.scopus.com/inward/record.url?scp=84908343817&partnerID=8YFLogxK

U2 - 10.1016/j.compstruc.2014.06.003

DO - 10.1016/j.compstruc.2014.06.003

M3 - Article

AN - SCOPUS:84908343817

VL - 144

SP - 62

EP - 74

JO - Computers and Structures

JF - Computers and Structures

SN - 0045-7949

ER -