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Non-localised Contact Between Beams with Circular and Elliptical Cross-sections by Magliulo, Marco; Lengiewicz, Jakub; Zilian, Andreas; Beex, Lars A. A. is a Engineering article available to read on EtoBox.

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## Abstract The key novelty of this contribution is a dedicated technique to efficiently determine the distance (gap) function between parallel or almost parallel beams with circular and elliptical cross-sections. The technique consists of parametrizing the surfaces of the two beams in contact, fixing a point on the centroid line of one of the beams and searching for a constrained minimum distance between the surfaces (two variants are investigated). The resulting unilateral (frictionless) contact condition is then enforced with the Penalty method, which introduces compliance to the, otherwise rigid, beams’ cross-sections. Two contact integration schemes are considered: the conventional slave-master approach (which is biased as the contact virtual work is only integrated over the slave surface) and the so-called two-half-pass approach (which is unbiased as the contact virtual work is integrated over the two contacting surfaces). Details of the finite element formulation, which is suitably implemented using Automatic Differentiation techniques, are presented. A set of numerical experiments shows the overall performance of the framework and allows a quantitative comparison of the inv

Who reads Non-localised Contact Between Beams with Circular and Elliptical Cross-sections?

Author

Magliulo, Marco; Lengiewicz, Jakub; Zilian, Andreas; Beex, Lars A. A.

Publisher

Springer; Springer-Verlag; Springer Verlag; Springer Science and Business Media LLC; Society for Mining, Metallurgy and Exploration Inc. (ISSN 0178-7675)

Published

2020

Language

EN

Field

Engineering (Physical Sciences)