Sources of uncertainty in composite properties

[Ben Smarslok]

I am interested in accurately estimating the uncertainty of composite material properties, in this case aleatory (inherent) material variability, as opposed to measurement error. It is proposed that the uncertainty in each of the material properties (E₁, E₂, n₁₂, G₁₂, a₁, and a₂) are correlated by a common physical mechanism (dependent), such as fiber volume fraction, temperature, and fiber orientation angle.

Are there any known studies regarding the correlations mentioned?
Are there any other mechanisms excluded from the list that material variability could be dependent on?

[kkchoi]

Dear Ben:

Followings are papers dealing with characterizing correlated input uncertainties. Hope these are of informative. Thanks,

1. Choi, K.K., Noh, Y., and Du, L., “Reliability Based Design Optimization with Correlated Input Variables,” 2006 SAE World Congress, April 16-19, 2007, Detroit, MI.
2. Noh, Y., Choi, K.K., and Du, L., “New Transformation of Dependent Input Variables Using Copula for RBDO,” 7th World Congress on Structural and Multidisciplinary Optimization, May 21-25, 2007, Seoul, Korea.
3. Choi, K.K., Noh, Y., and Du, L., “Reliability-Based Design Optimization with Correlated Input Variables Using Copulas,” 33rd ASME Design Automation Conference, September 4-7, 2007, Las Vegas, Nevada.