Spline-based smooth beam-to-beam contact model

authored by: Celso Jaco Faccio Júnior, Alfredo Gay Neto, Peter Wriggers
Abstract: The contact between bodies is a complex phenomenon that involves mechanical interaction, frictional sliding and heat transfer, among others. A common (and convenient) approach for the mechanical interaction in a finite element framework is to directly use the geometry of the elements to formulate the contact. The main drawback lies in the sharp corners that occur when straight finite elements are connected leading eventually to contact singularities. To circumvent this issue, particularly in the context of beam-to-beam contact, the present work proposes a pointwise contact formulation based on smooth C¹ continuous spline contact elements. The proposed spline-based formulation, which can be directly attached to any quadratic beam finite element formulation, guarantees a smooth description for the whole set of elements, where contact takes place. A specific nonlinear normal contact interaction law and a rheological model for friction, both with elastic and viscous damping contributions, are developed increasing robustness in practical applications. To demonstrate this robustness, specific examples are considered including comparisons with a similar surface-to-surface formulation and an alternative smooth contact scheme, smooth contact with finite elements having sharp corners, modeling of a knot tightening with self-contact, and a simulation involving multiple pointwise contacts.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): Universidade de Sao Paulo
Type: Article
Journal: Computational mechanics
Volume: 72
Pages: 663-692
No. of pages: 30
ISSN: 0178-7675
Publication date: 10.2023
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/s00466-023-02283-1 (Access: Closed)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{62b922b17ed5474c80cdc9f57a6d12cf,
title = "Spline-based smooth beam-to-beam contact model",
abstract = "The contact between bodies is a complex phenomenon that involves mechanical interaction, frictional sliding and heat transfer, among others. A common (and convenient) approach for the mechanical interaction in a finite element framework is to directly use the geometry of the elements to formulate the contact. The main drawback lies in the sharp corners that occur when straight finite elements are connected leading eventually to contact singularities. To circumvent this issue, particularly in the context of beam-to-beam contact, the present work proposes a pointwise contact formulation based on smooth C1 continuous spline contact elements. The proposed spline-based formulation, which can be directly attached to any quadratic beam finite element formulation, guarantees a smooth description for the whole set of elements, where contact takes place. A specific nonlinear normal contact interaction law and a rheological model for friction, both with elastic and viscous damping contributions, are developed increasing robustness in practical applications. To demonstrate this robustness, specific examples are considered including comparisons with a similar surface-to-surface formulation and an alternative smooth contact scheme, smooth contact with finite elements having sharp corners, modeling of a knot tightening with self-contact, and a simulation involving multiple pointwise contacts.",
keywords = "Frictional contact, Nonlinear normal contact, Smooth contact, Spline",
author = "{Faccio J{\'u}nior}, {Celso Jaco} and {Gay Neto}, Alfredo and Peter Wriggers",
note = "Funding Information: The authors acknowledge the National Council for Scientific and Technological Development (CNPq) under the grants 168927/2018-7 and 304321/2021-4, and the S{\~a}o Paulo Research Foundation (FAPESP) under the grant 2020/13362-1.",
year = "2023",
month = oct,
doi = "10.1007/s00466-023-02283-1",
language = "English",
volume = "72",
pages = "663--692",
journal = "Computational mechanics",
issn = "0178-7675",
publisher = "Springer Verlag",
number = "4",
}