Isogeometric frictionless contact analysis with the third medium method

authored by: R. Kruse, N. Nguyen-Thanh, P. Wriggers, L. De Lorenzis
Abstract: This paper presents an isogeometric formulation for frictionless contact between deformable bodies, based on the recently proposed concept of the third medium. This concept relies on continuum formulations not only for the contacting bodies but also for a fictitious intermediate medium in which the bodies can move and interact. Key to the formulation is a suitable definition of the constitutive behavior of the third medium. In this work, based on a number of numerical tests, the role of the material parameters of the third medium is systematically assessed. We also assess the rate of spatial convergence for higher-order discretizations, stemming from the regularization of the non-smooth contact problem inherent to the third medium approach. Finally, problems with self contact are considered and turn out to be an attractive application of the method.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): Technische Universität Braunschweig
Type: Article
Journal: Computational mechanics
Volume: 62
Pages: 1009-1021
No. of pages: 13
ISSN: 0178-7675
Publication date: 11.2018
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Computational Mechanics, Ocean Engineering, Mechanical Engineering, Computational Theory and Mathematics, Computational Mathematics, Applied Mathematics
Electronic version(s): https://doi.org/10.1007/s00466-018-1547-z (Access: Closed)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{8e555232b245437d8263712865d9eb2f,
title = "Isogeometric frictionless contact analysis with the third medium method",
abstract = "This paper presents an isogeometric formulation for frictionless contact between deformable bodies, based on the recently proposed concept of the third medium. This concept relies on continuum formulations not only for the contacting bodies but also for a fictitious intermediate medium in which the bodies can move and interact. Key to the formulation is a suitable definition of the constitutive behavior of the third medium. In this work, based on a number of numerical tests, the role of the material parameters of the third medium is systematically assessed. We also assess the rate of spatial convergence for higher-order discretizations, stemming from the regularization of the non-smooth contact problem inherent to the third medium approach. Finally, problems with self contact are considered and turn out to be an attractive application of the method.",
keywords = "Contact mechanics, Isogeometric analysis, NURBS, Third medium method",
author = "R. Kruse and N. Nguyen-Thanh and P. Wriggers and {De Lorenzis}, L.",
year = "2018",
month = nov,
doi = "10.1007/s00466-018-1547-z",
language = "English",
volume = "62",
pages = "1009--1021",
journal = "Computational mechanics",
issn = "0178-7675",
publisher = "Springer Verlag",
number = "5",
}