%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 }