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International Journal for Uncertainty Quantification

Publication de 6  numéros par an

ISSN Imprimer: 2152-5080

ISSN En ligne: 2152-5099

The Impact Factor measures the average number of citations received in a particular year by papers published in the journal during the two preceding years. 2017 Journal Citation Reports (Clarivate Analytics, 2018) IF: 1.7 To calculate the five year Impact Factor, citations are counted in 2017 to the previous five years and divided by the source items published in the previous five years. 2017 Journal Citation Reports (Clarivate Analytics, 2018) 5-Year IF: 1.9 The Immediacy Index is the average number of times an article is cited in the year it is published. The journal Immediacy Index indicates how quickly articles in a journal are cited. Immediacy Index: 0.5 The Eigenfactor score, developed by Jevin West and Carl Bergstrom at the University of Washington, is a rating of the total importance of a scientific journal. Journals are rated according to the number of incoming citations, with citations from highly ranked journals weighted to make a larger contribution to the eigenfactor than those from poorly ranked journals. Eigenfactor: 0.0007 The Journal Citation Indicator (JCI) is a single measurement of the field-normalized citation impact of journals in the Web of Science Core Collection across disciplines. The key words here are that the metric is normalized and cross-disciplinary. JCI: 0.5 SJR: 0.584 SNIP: 0.676 CiteScore™:: 3 H-Index: 25

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MAXIMUM ENTROPY UNCERTAINTY MODELING AT THE FINITE ELEMENT LEVEL FOR HEATED STRUCTURES

Volume 13, Numéro 1, 2023, pp. 1-24
DOI: 10.1615/Int.J.UncertaintyQuantification.2022038338
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RÉSUMÉ

The focus of this paper is on the introduction of uncertainty on structural properties, including the thermal expansion coefficient, on linear finite element models of heated structures. A "mesoscale" approach is adopted here in which the uncertainty is introduced directly on the elemental matrices and vectors of each element by randomizing those corresponding to the mean model following the maximum entropy approach and recent work by the authors. As such, the approach is applicable to finite element models developed in commercial software in which the elemental matrices can be exported. In this approach, the elemental stiffness matrix and the thermal force vectors are regrouped into an extended, positive definite matrix which is randomized. However, the uncertainty can be introduced either separately or jointly on the stiffness matrix and the thermal force vectors. The parameters of this uncertainty modeling include the overall levels of uncertainty on the stiffness matrix and the thermal force vectors and the correlation lengths of these properties. It is noted that the proposed approach is also applicable to structures with piezoelectric components when the piezoelectric effect is modeled using the thermal analogy.

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