Application of interval fields to geometric output quantities of Finite Element models

In uncertainty quantification, interval arithmetics provide an appropriate procedure when little knowledge is available on the nature of the probability distribution of uncertain or imprecise quantities. This commonly occurs in engineering applications due to subjective knowledge or incomplete availability of test data. Intervals are by definition unable to take into account dependent input and output quantities, which forces the assumption of independency when applying them. This is a severe limitation on the accuracy of the analysis as dependency is always present to some extent. The concept of interval fields (IF) provides a solution by defining non-deterministic fields using interval parameters. Applying interval fields can capture dependency among input or output parameters, while still using a possiblistic concept, thereby keeping the advantages of such an approach. This paper introduces a method to construct an output interval field based on a surrogate model of the input-output relation. The field functions are drawn directly from the coefficients of this model, leading to an output interval field with independent interval variables and deterministic field functions.

ISBN:978-618-82844-0-1

Publication year:2016

Accessibility:Open