Details
| Original language | English |
|---|---|
| Pages (from-to) | 62-74 |
| Number of pages | 13 |
| Journal | Computers and Structures |
| Volume | 144 |
| Publication status | Published - 3 Sept 2014 |
Abstract
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.
Keywords
- Monte-Carlo method, Random effective properties, Random factor method, Random homogenization, Randomness and correlation
ASJC Scopus subject areas
- Engineering(all)
- Civil and Structural Engineering
- Mathematics(all)
- Modelling and Simulation
- Materials Science(all)
- General Materials Science
- Engineering(all)
- Mechanical Engineering
- Computer Science(all)
- Computer Science Applications
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In: Computers and Structures, Vol. 144, 03.09.2014, p. 62-74.
Research output: Contribution to journal › Article › Research › peer review
}
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 -