Stochastic multi-scale finite element based reliability analysis for laminated composite structures

X-Y Zhou, PD Gosling, Z Ullah, L Kaczmarczyk, CJ Pearce

Research output: Contribution to journalArticlepeer-review

23 Citations (Scopus)
178 Downloads (Pure)


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.
Original languageUndefined/Unknown
Pages (from-to)457-473
Number of pages17
JournalApplied Mathematical Modelling
Early online date05 Jan 2017
Publication statusEarly online date - 05 Jan 2017

Cite this