GEOMETRIC AND MECHANICAL MODELING OF WEFT-KNITTED FABRICS USING HELICOID SCAFFOLDS

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dc.contributor.authorBreen, David
dc.contributor.authorWadekar, Paras
dc.contributor.authorAmanatides, Chelsea
dc.contributor.authorDion, Genevieve
dc.contributor.authorKamien, Randall
dc.contributor.organizationTechnická univerzita v Liberci
dc.date.accessioned2025-04-07T07:59:16Z
dc.date.available2025-04-07T07:59:16Z
dc.description.abstractWe present a bicontinuous, minimal surface (the helicoid) as a scaffold on which to define the topology and geometry of yarns in a weft-knitted fabric. Modeling with helicoids offers a geometric approach to simulating a physical manufacturing process, which should generate geometric models suitable for downstream analyses. The centerline of a yarn in a knitted fabric is specified as a geodesic path, with constrained boundary conditions, running along a helicoid at a fixed distance. The shape of the yarn’s centerline is produced via an optimization process over a polyline. The distances between the vertices of the polyline are shortened and a repulsive potential keeps the vertices at a specified distance from the helicoid. These actions and constraints are formulated into a single “cost” function, which is then minimized. The yarn geometry is generated as a tube around the centerline. The optimized configuration, defined for a half loop, is duplicated, reflected, and shifted to produce the centerlines for the multiple stitches that make up a fabric. The approach provides a promising framework for estimating the mechanical behavior/properties of weftknitted fabrics. Fabric-level deformation energy may be estimated by scaling the helicoid scaffold, computing new yarn paths, determining the amount of ensuing yarn stretch, and computing the total amount of yarn stretching energy. Computational results are calibrated and verified with measurements taken from actual yarns and fabrics.cs
dc.formattext
dc.format.extent8 stran
dc.identifier.doi10.15240/tul/008/2025-1-001
dc.identifier.issn1335-0617
dc.identifier.urihttps://dspace.tul.cz/handle/15240/176794
dc.language.isocscs
dc.publisherTechnical University of Liberec
dc.publisher.abbreviationTUL
dc.relation.ispartofFibres and Textiles
dc.subjectMinimal surfacecs
dc.subjectComputational modellingcs
dc.subjectWeft-knitted fabricscs
dc.subjectYarn geometrycs
dc.subjectOptimizationcs
dc.titleGEOMETRIC AND MECHANICAL MODELING OF WEFT-KNITTED FABRICS USING HELICOID SCAFFOLDSen
dc.typeArticleen
local.accessopen access
local.citation.epage12
local.citation.spage5
local.facultyFaculty of Textile Engineeringen
local.fulltextyesen
local.relation.issue1
local.relation.volume32
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