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Stochastic-Integral Models for Propagation-of-Uncertainty Problems in Nondestructive Evaluation (Preprint)
Technical paper 1 Jun-1 Jul 2012
AIR FORCE RESEARCH LAB WRIGHT-PATTERSON AFB OH MATERIALS AND MANUFACTURING DIRECTORATE
Pagination or Media Count:
Generalized polynomical chaos gPC and the probabilistic collocation method PCM are finding considerable application to problems of interest to engineers in which random parameters are an essential feature of the mathematical model. So far the applications have been mainly to stochastic partial differential equations, but we extend the method to volume-integral equations, which have met great success in electromagnetic nondestructive evaluation NDE, especially with eddy-currents. The problems of main interest to the NDE community in this connection are concerned with the issue of propagation of uncertainty when the relevant parameters are not well characterized, or are known simply as random variables. We demonstrate the ideas by considering a metallic surface that has undergone a shot-peening treatment to reduce residual stresses, and has, therefore, become a random conductivity field.
APPROVED FOR PUBLIC RELEASE