Master-master frictional contact and applications for beam-shell interaction

authored by: Alfredo Gay Neto, Peter Wriggers
Abstract: The surface-to-surface master–master contact treatment is a technique that addresses pointwise contact between bodies with no prior election of slave points, as in master–slave case. For a given configuration of contact-candidate surfaces, one needs to find the material points associated with a pointwise contact interaction. This is the local contact problem (LCP). The methodology can be applied together with numerical models such as geometrically nonlinear finite elements, discrete elements and multibody dynamics. A previous publication has addressed the possibility of degenerating the local contact problem, which yields the derivation of point-surface, curve-surface and other simplifications on the geometric treatment in the same mathematical formulation, sharing a single numerical implementation. This has useful applications for singularities or non-uniqueness scenarios on the LCP. The present work provides a framework for the degenerated master–master contact formulation including friction. An enhanced friction model is proposed, accounting for a combination of elastic and dissipative effects at the interface. Details of derivations and numerical implementation are given as well as examples related to beam-shell interaction.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): Universidade de Sao Paulo
Type: Article
Journal: Computational Mechanics
Volume: 66
Pages: 1213-1235
No. of pages: 23
ISSN: 0178-7675
Publication date: 12.2020
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/s00466-020-01890-6 (Access: Closed)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{9e6b760c15624b9a8e261047e3102d2d,
title = "Master-master frictional contact and applications for beam-shell interaction",
abstract = "The surface-to-surface master–master contact treatment is a technique that addresses pointwise contact between bodies with no prior election of slave points, as in master–slave case. For a given configuration of contact-candidate surfaces, one needs to find the material points associated with a pointwise contact interaction. This is the local contact problem (LCP). The methodology can be applied together with numerical models such as geometrically nonlinear finite elements, discrete elements and multibody dynamics. A previous publication has addressed the possibility of degenerating the local contact problem, which yields the derivation of point-surface, curve-surface and other simplifications on the geometric treatment in the same mathematical formulation, sharing a single numerical implementation. This has useful applications for singularities or non-uniqueness scenarios on the LCP. The present work provides a framework for the degenerated master–master contact formulation including friction. An enhanced friction model is proposed, accounting for a combination of elastic and dissipative effects at the interface. Details of derivations and numerical implementation are given as well as examples related to beam-shell interaction.",
keywords = "Beam, Contact, Finite element, Friction, Master–master, Master–slave, Multibody, Shell",
author = "{Gay Neto}, Alfredo and Peter Wriggers",
note = "Funding Information: The first author acknowledges CNPq (Conselho Nacional de Desenvolvimento Cient{\'i}fico e Tecnol{\'o}gico) under the Grant 304680/2018-4. ",
year = "2020",
month = dec,
doi = "10.1007/s00466-020-01890-6",
language = "English",
volume = "66",
pages = "1213--1235",
journal = "Computational Mechanics",
issn = "0178-7675",
publisher = "Springer Verlag",
number = "6",
}