A high-fidelity first-order reliability analysis for shear deformable laminated composite plates

This paper presents the complete theoretical development and practical implementation of a first-order reliability analysis for shear deformable laminated composite plates. The choice of plate theory is initially presented as it is important to ensure that a formulation capable of representing reali...

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Bibliographic Details
Published in:Composite structures 2014-08, Vol.115, p.12-28
Main Authors: Gosling, P.D., Faimun, Polit, O.
Format: Article
Language:English
Subjects:
Composite plates
Composite structures
Computer simulation
Engineering Sciences
FORM
Formability
Mathematical analysis
Mathematical models
Monte Carlo simulation
Plates (structural members)
Probabilistic analysis
Reliability analysis
Shear
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Summary:This paper presents the complete theoretical development and practical implementation of a first-order reliability analysis for shear deformable laminated composite plates. The choice of plate theory is initially presented as it is important to ensure that a formulation capable of representing realistic physics is used as the basis of the overall simulation tool to reduce epistemic uncertainty as far as possible. The first-order reliability method (FORM) is proposed for the reliability analysis and summarised in the paper, with comparisons made throughout the paper with Monte Carlo simulation. The sensitivities required as part of the FORM algorithm are presented and verified against finite difference approximations. The practical implementation of the computational framework is demonstrated by numerical examples in which the probability failure of plates is calculated with performance criteria based on deflection and stress and uncertainties associated with fibre orientation and ply thickness.
ISSN:0263-8223
1879-1085
DOI:10.1016/j.compstruct.2014.04.007