A second-order penalty-based node-to-segment contact using the Virtual Element Method

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OriginalspracheEnglisch
Aufsatznummer104183
Seitenumfang13
FachzeitschriftFinite Elements in Analysis and Design
Jahrgang237
Frühes Online-Datum17 Mai 2024
PublikationsstatusVeröffentlicht - 15 Sept. 2024

Abstract

The Node-to-Segment (NTS) method enhanced computational contact mechanics by enabling contact analysis with large deformations with contact location as part of the unknowns. Despite having shortcomings, it is still to this day largely employed by the industry for contact analysis between continuous surfaces due to its low computational cost and scalability, instead of more precise, mathematically sound, but more computationally expensive methods. The method's persistent relevance inspired attempts at improving its performance, usually for first-order elements. It is well known that NTS is not working well for higher orders due to its topological inconsistency. This work proposes a way of reducing the side-effects of the second order penalty-based Node-to-Segment method without adding complexity to contact detection or formulation. This can be achieved using virtual elements to describe the adjacent continuum, because of a filter effect introduced by the polynomial projection used in stress post-processing, which reduces the stress oscillations resulting from higher order penalty-based Node-to-Segment methods.

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A second-order penalty-based node-to-segment contact using the Virtual Element Method. / Moherdaui, Tiago Fernandes; Gay Neto, Alfredo; Wriggers, Peter.
in: Finite Elements in Analysis and Design, Jahrgang 237, 104183, 15.09.2024.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Moherdaui TF, Gay Neto A, Wriggers P. A second-order penalty-based node-to-segment contact using the Virtual Element Method. Finite Elements in Analysis and Design. 2024 Sep 15;237:104183. Epub 2024 Mai 17. doi: 10.1016/j.finel.2024.104183
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AU - Gay Neto, Alfredo

AU - Wriggers, Peter

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