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• W2520095909 abstract "This work aims at characterising some stochastic properties of heterogeneous composite fabric from a limited number of vibration tests. The frequency response functions, measured in these tests, are implemented in a deterministic inverse problem in order to construct a database consisting of spatial estimations of the Young’s modulus of the composite material. The database is then assimilated to construct a stochastic model characterising the Young’s modulus. The predictive model is set up to account for both aleatory uncertainties related to sample-to-sample variabilities of models parameters and, more importantly, epistemic uncertainties related to the insufficiency of the available data. To this end a probabilistic model based on polynomial chaos expansions is implemented. To represent the uncertainty due to the finite-size ensemble measurements, the coefficients of the chaos expansion are themselves considered as random variables. A Bayesian inference scheme with Markov chain Monte Carlo has been implemented to characterise these coefficients. A cross validation approach has been used to validate the constructed stochastic model taking into consideration the epistemic uncertainty." @default.
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• W2520095909 date "2010-09-01" @default.
• W2520095909 modified "2023-09-30" @default.
• W2520095909 title "A validation study of a stochastic representation of composite material properties from limited experimental data" @default.
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