Intercorrelated random fields with bounds and the Bayesian identification of their parameters: Application to linear elastic struts and fibers

Autor: Hussein Rappel, Mark Girolami, Lars A.A. Beex
Přispěvatelé: Fonds National de la Recherche - FnR [sponsor], Royal Academy of Engineering [sponsor], Lloyds Register Foundation [sponsor], Engineering and Physical Sciences Research Council [sponsor]
Rok vydání: 2022
Předmět:
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
Zdroj: International Journal for Numerical Methods in Engineering. 123:3418-3463
ISSN: 1097-0207
0029-5981
DOI: 10.1002/nme.6974
Popis: 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.
Databáze: OpenAIRE
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