Geometric modeling of complex knitting stitches using a bicontinuous surface and its offsets

Wadekar, Paras; Amanatides, Chelsea; Kapllani, Levi; Dion, Geneviève; Kamien, Randall D.; Breen, David E.

doi:10.1016/j.cagd.2021.102024

Cited by 10 publications

(8 citation statements)

References 35 publications

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“…16 In knit patterns with front and back stitches, the dimensionality and relaxation of the loops produce out-of-plane deformation 17 at the boundaries of the front and back stitch segments, leading to the self-folding effect. The dimensionality of knitted loops and the transitions between front and back stitches is modeled in Figure 2 as represented on a helicoid-based modeling system presented by Knittel et al 18 and Wadekar et al 19,20 It can be seen that the transition between front and back stitches results in a change in orientation of the loop, as well as the directionality of the yarn crossings, either along the course direction or wale direction. Once removed from the tension of the needles, out-of-plane deformation occurs at the transition zone (boundary) between the front and back stitch sections.…”

Section: Complex Self-folding Structuresmentioning

confidence: 99%

“…In the literature, many approaches have been utilized to model the behavior of textiles, including weftknit textiles. These tend to fall within the categories of geometric [18][19][20][21][22][23][24][25][26][27][28][29] and mechanical models, [30][31][32][33][34] graphics models, [35][36][37][38][39][40][41][42][43] modeling to knitting translation [44][45][46][47] and parametrized models. [48][49][50] Recently, work has been published by researchers at Carnegie Mellon University describing systems that have been developed to ease the steep learning curve required for designing and programming textile machinery, such as weftknitting machines.…”

Section: Modeling Of Weft-knit Structuresmentioning

confidence: 99%

“…18 and Wadekar et al. 19,20 It can be seen that the transition between front and back stitches results in a change in orientation of the loop, as well as the directionality of the yarn crossings, either along the course direction or wale direction. Once removed from the tension of the needles, out-of-plane deformation occurs at the transition zone (boundary) between the front and back stitch sections.…”

Section: Introductionmentioning

confidence: 98%

See 2 more Smart Citations

Characterizing and predicting the self-folding behavior of weft-knit fabrics

Amanatides

Ghita

Evans

et al. 2022

Textile Research Journal

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Self-folding behavior is an exciting property of weft-knit fabrics that can be created using just front and back stitches. This behavior is easy to create, but not easy to anticipate and currently cannot be predicted by the existing computer-aided design software that controls industrial knitting machines. This work identifies the edge deformation behaviors that lead to self-folding in weft knits, and methods to characterize the mechanical forces driving these behaviors with regard to chosen manufacturing parameters. With this data and analysis of the fabric deformations, the self-folding behavior was purposely controlled using calculated scaling factors. Furthermore, theoretical equations were developed to mathematically predict these scaling factors, minimizing the trial and error required to design with self-folding behavior and create textiles with novel engineered properties. By understanding the mechanisms responsible for creating these three-dimensional self-folding textiles, they can then be designed in a programmable manner for use in technical applications.

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Section: Complex Self-folding Structuresmentioning

confidence: 99%

Section: Modeling Of Weft-knit Structuresmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

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Characterizing and predicting the self-folding behavior of weft-knit fabrics

Amanatides

Ghita

Evans

et al. 2022

Textile Research Journal

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“…Duhovic and Bhattacharyya [27] simulated the knitting process in order to understand how each of a yarn's deformation mechanisms contribute to the overall deformation energy/behavior of a yarn in a knitted fabric. In recent work, Knittel, Wadekar et al [28,29,30,31] investigated helicoid scaffolds as a framework within which to study the structure of knitted fabrics.…”

Section: Related Workmentioning

confidence: 99%

TopoKnit : A Process-Oriented Representation for Modeling the Topology of Yarns in Weft-Knitted Textiles

Kapllani¹,

Amanatides²,

Dion³

et al. 2021

Preprint

Self Cite

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Machine knitted textiles are complex multi-scale material structures increasingly important in many industries, including consumer products, architecture, composites, medical, and military. Computational modeling, simulation, and design of industrial fabrics require efficient representations of the spatial, material, and physical properties of such structures. We propose a process-oriented representation, TopoKnit, that defines a foundational data structure for representing the topology of weft-knitted textiles at the yarn scale. Process space serves as an intermediary between the machine and fabric spaces, and supports a concise, computationally efficient evaluation approach based on on-demand, near constanttime queries. In this paper, we define the properties of the process space, and design a data structure to represent it and algorithms to evaluate it. We demonstrate the effectiveness of the representation scheme by providing results of evaluations of the data structure in support of common topological operations in the fabric space.

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“…20,21 The second research direction is to improve the stitchability of the knitted meshes. 22,23 Jones et al 24 proposed an interactive mesh partitioning tool that can upgrade the stitchability of knitted meshes. Liu et al 25 put forward a graph-based algorithm to generate 3D shapes of knitted meshes for garments that could be accurately captured and adopted a tiling algorithm to achieve the elastic distribution.…”

Section: Introductionmentioning

confidence: 99%

Yarn-level deformation for weft-knitted stitches

Zheng,

Jiang,

Peng

et al. 2023

Journal of Engineered Fibers and Fabrics

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The essential purpose of this research is to exploit and innovate a yarn-level relaxation deformation method for weft-knitted stitches. Each loop formed by knitting yarns was taken as a mass respectively. Spring-mass model at the yarn level was established for several knitting rows and spatial coordinates were assigned to each mass. Based on the intermeshed relationship of loops in the longitudinal direction, the spring-mass model at the yarn level was transformed into a two-layer spring-mass model at the stitch level, with correspondence between the masses of the two models. Each mass was subjected to eight spring forces from different directions. The resultant force was calculated based on the yarn-level mass model, and the mass displacement was solved by the Verlet numerical integration method. According to the coordinates of masses, the geometric models of different knitting types were established, and a matrix operation method for the spatial rotation and translation of control points was proposed, which could quickly calculate the coordinates and accurately simulate the shape of loops. Finally, we simulated the relaxation deformation of five typical weft-knitted stitches. The results show that this method can accurately and effectively simulate the overall deformation effect of the knitted stitches, and the simulation results are similar to the actual results. The analysis results of the pattern size and the simulation efficiency indicate that the larger the pattern, the more loops there are, the overall simulation time is longer and the running memory occupied is larger.

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Geometric modeling of complex knitting stitches using a bicontinuous surface and its offsets

Cited by 10 publications

References 35 publications

Characterizing and predicting the self-folding behavior of weft-knit fabrics

Characterizing and predicting the self-folding behavior of weft-knit fabrics

TopoKnit : A Process-Oriented Representation for Modeling the Topology of Yarns in Weft-Knitted Textiles

Yarn-level deformation for weft-knitted stitches

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