Numerical strategy for solving general C¹-continuous beam-to-beam contact problems

authored by

Celso Jaco Faccio Júnior, Alfredo Gay Neto, Peter Wriggers

Abstract

In the context of a multibody numerical environment, when aiming at representing the contact interaction between bodies one needs the inclusion of special mathematical formulations. They can be geometrically described as surface-to-surface or line-to-line contacts, for instance. The last one is usually the natural choice when addressing beam-to-beam contact. In the present work, a geometrically nonlinear structural formulation is combined with a beam-to-beam (Formula presented.) spline-based contact formulation with a particular numerical strategy to address challenging contact problems. The numerical strategy consists of introducing criteria to evaluate, characterize and decide about the contact problem solutions. According to these criteria, a contact problem solution may be accepted, rejected, or proceed to a degeneration process (as a simplification of the original tentative for the geometric description). The main advantages of the proposed technique are the lack of special contact formulations for ill-defined contact problems and the automatic switch between degenerated and nondegenerated scenarios. Therefore, one can naturally handle scenarios of pointwise or conformal contact, even in situations of transition between such categories along the model evolution. The adopted spline-based formulation includes normal and tangential contact contributions. To test the proposed strategy, several pointwise and conformal contact examples are proposed.

Organisation(s)

Institute of Continuum Mechanics

External Organisation(s)

Universidade de Sao Paulo

Type

Article

Journal

International Journal for Numerical Methods in Engineering

Volume

125

ISSN

0029-5981

Publication date

07.02.2024

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Numerical Analysis, Engineering(all), Applied Mathematics

Electronic version(s)

https://doi.org/10.1002/nme.7394 (Access: Closed)

 

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