In this paper we propose a finite element approach
which simulates the mechanical behaviour of beam assemblies
that are subject to large deformations and that develop
contact-friction interactions. We focus on detecting and modeling
contact-friction interactions within the assembly of
beams. Contact between beams-or between parts of the
same beam in the case of self-contact, is detected from
intermediate geometries defined within proximity zones
associating close parts of beam axes. The discretization of
contact-friction interactions is performed on these intermediate
geometries by means of contact elements, constituted
of pairs of material particles which are predicted to enter into
contact. A 3D finite strain beam model is used to represent the
behaviourof each beam. This model describes the kinematics
of each beam cross-section using nine degrees of freedom,
and is therefore able to represent plane deformations of these
cross-sections. Algorithms are proposed to solve the global
nonlinear problem using an implicit scheme, under quasistatic
assumptions. Simulation results of the tightening and
releasing of knots made on monofilament and multifilament
yarns are shown as an application. Straight fibers are first
twisted together to make a yarn, before suitable conditions
are applied to their ends to form and tighten the knot. Tightening
forces are finally released to obtain an equilibrium configuration
of the knot without external forces.
%0 Journal Article
%1 durville2012contactfriction
%A Durville, Damien
%D 2012
%K Contact Finite Intermediate Proximity beam beams between element geometries method model strain zones
%T Contact-friction modeling within elastic beam assemblies:
an application to knot tightening
%X In this paper we propose a finite element approach
which simulates the mechanical behaviour of beam assemblies
that are subject to large deformations and that develop
contact-friction interactions. We focus on detecting and modeling
contact-friction interactions within the assembly of
beams. Contact between beams-or between parts of the
same beam in the case of self-contact, is detected from
intermediate geometries defined within proximity zones
associating close parts of beam axes. The discretization of
contact-friction interactions is performed on these intermediate
geometries by means of contact elements, constituted
of pairs of material particles which are predicted to enter into
contact. A 3D finite strain beam model is used to represent the
behaviourof each beam. This model describes the kinematics
of each beam cross-section using nine degrees of freedom,
and is therefore able to represent plane deformations of these
cross-sections. Algorithms are proposed to solve the global
nonlinear problem using an implicit scheme, under quasistatic
assumptions. Simulation results of the tightening and
releasing of knots made on monofilament and multifilament
yarns are shown as an application. Straight fibers are first
twisted together to make a yarn, before suitable conditions
are applied to their ends to form and tighten the knot. Tightening
forces are finally released to obtain an equilibrium configuration
of the knot without external forces.
@article{durville2012contactfriction,
abstract = {In this paper we propose a finite element approach
which simulates the mechanical behaviour of beam assemblies
that are subject to large deformations and that develop
contact-friction interactions. We focus on detecting and modeling
contact-friction interactions within the assembly of
beams. Contact between beams-or between parts of the
same beam in the case of self-contact, is detected from
intermediate geometries defined within proximity zones
associating close parts of beam axes. The discretization of
contact-friction interactions is performed on these intermediate
geometries by means of contact elements, constituted
of pairs of material particles which are predicted to enter into
contact. A 3D finite strain beam model is used to represent the
behaviourof each beam. This model describes the kinematics
of each beam cross-section using nine degrees of freedom,
and is therefore able to represent plane deformations of these
cross-sections. Algorithms are proposed to solve the global
nonlinear problem using an implicit scheme, under quasistatic
assumptions. Simulation results of the tightening and
releasing of knots made on monofilament and multifilament
yarns are shown as an application. Straight fibers are first
twisted together to make a yarn, before suitable conditions
are applied to their ends to form and tighten the knot. Tightening
forces are finally released to obtain an equilibrium configuration
of the knot without external forces.},
added-at = {2021-04-01T18:22:50.000+0200},
author = {Durville, Damien},
biburl = {https://www.bibsonomy.org/bibtex/215495a888ae05a91c71000455b858e0d/ceps},
interhash = {be0e51ed8b68de58da362ae3b408540e},
intrahash = {15495a888ae05a91c71000455b858e0d},
keywords = {Contact Finite Intermediate Proximity beam beams between element geometries method model strain zones},
timestamp = {2023-12-20T14:31:52.000+0100},
title = {Contact-friction modeling within elastic beam assemblies:
an application to knot tightening},
year = 2012
}