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Journal article
Geometric modeling of knitted fabrics using helicoid scaffolds
Journal of engineered fibers and fabrics, v 15, p155892502091387
01 Apr 2020
Abstract
We 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 mechanical and validity 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 "energy" 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. In addition, the parameters of the helicoid may be used to control the size and shape of the fabric's stitches. We show that helicoid scaffolds may be used to define both knit and purl stitches, which are then combined to produce models of all-knit, rib, and garter fabrics.
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Details
- Title
- Geometric modeling of knitted fabrics using helicoid scaffolds
- Creators
- Paras Wadekar - Drexel UniversityPrateek Goel - Drexel Univ, Dept Comp Sci, 3141 Chestnut St, Philadelphia, PA 19104 USAChelsea Amanatides - Drexel UniversityGenevieve Dion - Drexel UniversityRandall D. Kamien - Philadelphia UniversityDavid E. Breen - Drexel University
- Publication Details
- Journal of engineered fibers and fabrics, v 15, p155892502091387
- Publisher
- Sage
- Number of pages
- 15
- Grant note
- 1537720 / NSF grant CMMI DGE-10028090/DGE-1104459 / National Science Foundation Graduate Research Fellowship; National Science Foundation (NSF) Simons Investigator Grant from the Simons Foundation
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Information Science; Fashion Design; Computer Science; Center for Functional Fabrics
- Web of Science ID
- WOS:000535783600001
- Scopus ID
- 2-s2.0-85084530121
- Other Identifier
- 991019168323904721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Materials Science, Textiles