A stable and optimally convergent LaTIn-CutFEM algorithm for multiple unilateral contact problems

Claus, Susanne ORCID: https://orcid.org/0000-0001-9014-5278 and Kerfriden, Pierre ORCID: https://orcid.org/0000-0002-7749-3996 2018. A stable and optimally convergent LaTIn-CutFEM algorithm for multiple unilateral contact problems. International Journal for Numerical Methods in Engineering 113 (6) , pp. 938-966. 10.1002/nme.5694

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Abstract

In this paper, we propose a novel unfitted finite element method for the simulation of multiple body contact. The computational mesh is generated independently of the geometry of the interacting solids, which can be arbitrarily complex. The key novelty of the approach is the combination of elements of the CutFEM technology, namely the enrichment of the solution field via the definition of overlapping fictitious domains with a dedicated penalty-type regularisation of discrete operators, and the LaTIn hybrid-mixed formulation of complex interface conditions. Furthermore, the novel P1-P1 discretisation scheme that we propose for the unfitted LaTIn solver is shown to be stable, robust and optimally convergent with mesh refinement. Finally, the paper introduces a high-performance 3D level-set/CutFEM framework for the versatile and robust solution of contact problems involving multiple bodies of complex geometries, with more than two bodies interacting at a single point.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Advanced Research Computing @ Cardiff (ARCCA) Engineering
Uncontrolled Keywords:	unilateral contact; LaTIn; nonconforming finite element; CutFEM; ghost penalty; multiple level sets; composite materials
Publisher:	Wiley
ISSN:	0029-5981
Date of First Compliant Deposit:	28 September 2017
Date of Acceptance:	4 September 2017
Last Modified:	20 Nov 2024 05:30
URI:	https://orca.cardiff.ac.uk/id/eprint/105048

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