Non‐localized Contact Between Beams with Non‐Circular Cross Sections. Issue 1 (18th November 2019)

• Record Type: Journal Article
• Authors: Magliulo, Marco; Zilian, Andreas; Beex, Lars
• Other Names: Eberhardsteiner J. guestEditor.; Schöberl M. guestEditor.
• Is Part Of: Proceedings in applied mathematics and mechanics. Volume 19:Issue 1(2019)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2019-11-18
• Subjects: Applied mathematics -- Periodicals; Engineering mathematics -- Periodicals; Mathematical physics -- Periodicals; 519
• DOI: 10.1002/pamm.201900029
• Languages: English
• ISSNs: 1617-7061

Abstract

Abstract: In this contribution, we introduce a contact formulation between beams finite elements with (hyper)elliptical cross sections. The contact scheme allows to model scenarios in which the contact area is finite or the contact area occurs along a line. Although some contact schemes are yet able to do this, they require one of the beams to have a circular cross section [1, 2]. Here however, we focus on non‐circular cross‐sections. Consequently, new projections are required, in which the beam surfaces are used explicitly to formulate contact kinematics.