Zhou, X.-Y., Gosling, P.D., Ullah, Z., Kaczmarczyk, L. and Pearce, C.J. (2017) Stochastic multi-scale finite element based reliability analysis for laminated composite structures. Applied Mathematical Modelling, 45, pp. 457-473. (doi: 10.1016/j.apm.2016.12.005)
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Abstract
This paper proposes a novel multi-scale approach for the reliability analysis of composite structures that accounts for both microscopic and macroscopic uncertainties, such as constituent material properties and ply angle. The stochastic structural responses, which establish the relationship between structural responses and random variables, are achieved using a stochastic multi-scale finite element method, which integrates computational homogenisation with the stochastic finite element method. This is further combined with the first- and second-order reliability methods to create a unique reliability analysis framework. To assess this approach, the deterministic computational homogenisation method is combined with the Monte Carlo method as an alternative reliability method. Numerical examples are used to demonstrate the capability of the proposed method in measuring the safety of composite structures. The paper shows that it provides estimates very close to those from Monte Carlo method, but is significantly more efficient in terms of computational time. It is advocated that this new method can be a fundamental element in the development of stochastic multi-scale design methods for composite structures.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Kaczmarczyk, Professor Lukasz and Ullah, Dr Zahur and Pearce, Professor Chris |
| Authors: | Zhou, X.-Y., Gosling, P.D., Ullah, Z., Kaczmarczyk, L., and Pearce, C.J. |
| College/School: | College of Science and Engineering > School of Engineering > Infrastructure and Environment |
| Journal Name: | Applied Mathematical Modelling |
| Publisher: | Elsevier |
| ISSN: | 0307-904X |
| ISSN (Online): | 0307-904X |
| Published Online: | 05 January 2017 |
| Copyright Holders: | Copyright © 2017 The Authors |
| First Published: | First published in Applied Mathematical Modelling 45:457-473 |
| Publisher Policy: | Reproduced under a Creative Commons License |
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