Uncertainty quantification of multi-dimensional parameters for composite laminates based on grey mathematical theory

In order to perform uncertainty quantification of elastic mechanical properties for composite laminates with multi-dimensional parameters, this paper is to develop a novel quantification approach based on grey mathematical theory. Here, uncertain parameters are modeled as correlated interval variables by virtue of some limited experimental points. The developed method not only can eliminate big errors in experimental points, but also can estimate uncertain information including nominal values, uncertain intervals, auto and mutual uncertainties of elastic properties. Besides, it can give out feasible domains of mechanical properties when considering mutual uncertainties for uncertainty propagation analysis. The numerical examples are implemented to demonstrate the feasibility and availability of the developed method. The results show that the developed method can become an important and powerful tool for uncertainty quantification of composite laminates with mutual uncertainties.