Computing pointwise contact between bodies

a class of formulations based on master–master approach

authored by: Alfredo Gay Neto, Peter Wriggers
Abstract: In the context of pointwise contact interaction between bodies, a formulation based on surface-to-surface description (master–master) is employed. This leads to a four-variable local contact problem, which solution is associated with general material points on contact surfaces, where contact mechanical action-reaction are represented. We propose here a methodology that permits, according to necessity, a selective dimension reduction of this local contact problem. Thus, the formulation includes curve-to-curve, point-to-surface, curve-to-surface or other contact descriptions as particular degenerations of the surface-to-surface approach. This is done by assuming convective coordinates in the original local contact problem. An operator for performing the so-called “local contact problem degeneration” is presented. It modifies automatically the dimension of the local contact problem and related requirements for its solution. The proposed method is particularly useful for handling singularity scenarios. It also creates a possibility for representing conformal contact by pointwise actions on a non-uniqueness scenario. We present applications and examples that demonstrate benefits for beam-to-beam contact. Ideas and developments, however, are general and may be applied to other geometries of contacting bodies.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): Universidade de Sao Paulo
Type: Article
Journal: Computational mechanics
Volume: 64
Pages: 585-609
No. of pages: 25
ISSN: 0178-7675
Publication date: 15.09.2019
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/s00466-019-01680-9 (Access: Closed)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{45cff7ab47194138bd72b6b1410b2031,
title = "Computing pointwise contact between bodies: a class of formulations based on master–master approach",
abstract = "In the context of pointwise contact interaction between bodies, a formulation based on surface-to-surface description (master–master) is employed. This leads to a four-variable local contact problem, which solution is associated with general material points on contact surfaces, where contact mechanical action-reaction are represented. We propose here a methodology that permits, according to necessity, a selective dimension reduction of this local contact problem. Thus, the formulation includes curve-to-curve, point-to-surface, curve-to-surface or other contact descriptions as particular degenerations of the surface-to-surface approach. This is done by assuming convective coordinates in the original local contact problem. An operator for performing the so-called “local contact problem degeneration” is presented. It modifies automatically the dimension of the local contact problem and related requirements for its solution. The proposed method is particularly useful for handling singularity scenarios. It also creates a possibility for representing conformal contact by pointwise actions on a non-uniqueness scenario. We present applications and examples that demonstrate benefits for beam-to-beam contact. Ideas and developments, however, are general and may be applied to other geometries of contacting bodies.",
keywords = "Contact, Degeneration, Master–master, Optimization",
author = "{Gay Neto}, Alfredo and Peter Wriggers",
note = "Funding information: The first author acknowledges FAPESP (Funda{\c c}{\~a}o de Amparo {\`a} Pesquisa do Estado de S{\~a}o Paulo) under the Grant 2016/14230-6 and CNPq (Conselho Nacional de Desenvolvimento Cient{\'i}fico e Tecnol{\'o}gico) under the Grant 304680/2018-4.",
year = "2019",
month = sep,
day = "15",
doi = "10.1007/s00466-019-01680-9",
language = "English",
volume = "64",
pages = "585--609",
journal = "Computational mechanics",
issn = "0178-7675",
publisher = "Springer Verlag",
number = "3",
}