1. Intercorrelated random fields with bounds and the Bayesian identification of their parameters: Application to linear elastic struts and fibers
- Author
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Hussein Rappel, Mark Girolami, Lars A.A. Beex, Fonds National de la Recherche - FnR [sponsor], Royal Academy of Engineering [sponsor], Lloyds Register Foundation [sponsor], and Engineering and Physical Sciences Research Council [sponsor]
- Subjects
Numerical Analysis ,Beams ,Intercorrelated random fields ,Materials science & engineering [C09] [Engineering, computing & technology] ,Applied Mathematics ,Bayesian inference ,Multidisciplinary, general & others [C99] [Engineering, computing & technology] ,Mechanical engineering [C10] [Engineering, computing & technology] ,General Engineering ,Semiparametric latent factor model ,Multidisciplinaire, généralités & autres [C99] [Ingénierie, informatique & technologie] ,Science des matériaux & ingénierie [C09] [Ingénierie, informatique & technologie] ,Ingénierie mécanique [C10] [Ingénierie, informatique & technologie] ,Copula ,Computer Science::Computational Engineering, Finance, and Science ,Aerospace & aeronautics engineering [C01] [Engineering, computing & technology] ,Ingénierie aérospatiale [C01] [Ingénierie, informatique & technologie] ,Civil engineering [C04] [Engineering, computing & technology] ,Ingénierie civile [C04] [Ingénierie, informatique & technologie] ,Intrinsic coregionalization model - Abstract
Many materials and structures consist of numerous slender struts or fibers. Due to the manufacturing processes of different types of struts and the growth processes of natural fibers, their mechanical response frequently fluctuates from strut to strut, as well as locally within each strut. In associated mechanical models each strut is often represented by a string of beam elements, since the use of conventional three-dimensional finite elements renders the simulations computationally inefficient. The parameter input fields of each string of beam elements are ideally such that the local fluctuations and fluctuations between individual strings of beam elements are accurately captured. The goal of this study is to capture these fluctuations in several intercorrelated bounded random fields. Two formulations to describe the intercorrelations between each random field, as well as the case without any intercorrelation, are investigated. As only a few sets of input fields are available (due to time constraints of the supposed experimental techniques), the identification of the random fields’ parameters involves substantial uncertainties. A probabilistic identification approach based on Bayes’ theorem is employed to treat the involved uncertainties.
- Published
- 2022
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