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B-spline based interval field decomposition method
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DOI：10.1016/j.compstruc.2022.106874.png)
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Abstract
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In this paper, we contribute a new B-spline based interval field decomposition method as a non -probabilistic approach that takes into account local effects in interval field modelling. With B-spline basis functions, the interval field formulation is highly intuitive and easy to construct. The computational effi-ciency outperforms the traditional local interval field decomposition method. The explicit expression of the proposed method facilitates the use of optimisation methods in determining field bounds where deterministic local values are available. The proposed method can incorporate the use of truncated hier-archical B-spline basis functions and multi-patch stitching method that facilitate modelling of inhomo-geneous interval fields, which effectively address the spatial variability of the parameters describing the interval field. A numerical case of a simply supported beam with non-deterministic material param-eters subjected to external loads is performed to illustrate the applicability of the proposed method.(c) 2022 Elsevier Ltd. All rights reserved.
Keywords:
Non-probablistic methods
Interval field
B-spline
Uncertainty quantification
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