Mechanics-aware deformation of yarn pattern geometry

Sperl, Georg; Narain, Rahul; Wojtan, Chris

doi:10.1145/3450626.3459816

Cited by 6 publications

(3 citation statements)

References 61 publications

(61 reference statements)

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“…Starting from a three-dimensional parameterization of the jersey knit pattern [29] to curvature augmented model [30], followed by energy minimization model [31], most geometric models of knitted fabrics are constructed through superposition of cosine and sine curves due to the smoothness and periodicity of these shape functions. With the development of spline basis functions, we can discretize yarns with sufficient accuracy and such yarn-based models [32][33][34][35][36][37] have key advantages compared to coarse-grained models [38][39][40][41] and homogenized models [42][43][44][45][46], due to their capability to: (i) capture mechanical behaviour originating from first principles via yarn dynamics, (ii) provide quantitative measurements of geometric nonlinearity arising across scales, and (iii) vary the spatial distribution of stitch patterns and material properties of yarns to form targeted two-and three-dimensional configurations, all while not constraining the extensibility of individual yarn segments affinely.…”

Section: Introductionmentioning

confidence: 99%

Unravelling the mechanics of knitted fabrics through hierarchical geometric representation

Ding,

Sanchez,

Bertoldi

et al. 2024

Proc. R. Soc. A.

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Knitting interloops one-dimensional yarns into three-dimensional fabrics that exhibit behaviour beyond their constitutive materials. How extensibility and anisotropy emerge from the hierarchical organization of yarns into knitted fabrics has long been unresolved. We seek to unravel the mechanical roles of tensile mechanics, assembly and dynamics arising from the yarn level on fabric nonlinearity by developing a yarn-based dynamical model. This physically validated model captures the mechanical response of knitted fabrics, analogous to flexible metamaterials and biological fibre networks due to geometric nonlinearity within such hierarchical systems. Fabric anisotropy originates from observed yarn–yarn rearrangements during alignment dynamics and is topology-dependent. This yarn-based model also provides a design space of knitted fabrics to embed functionalities by varying geometric configuration and material property in instructed procedures compatible to machine manufacturing. Our hierarchical approach to build up a knitted fabric computationally modernizes an ancient craft and represents a first step towards mechanical programmability of knitted fabrics in wide engineering applications.

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Section: Introductionmentioning

confidence: 99%

Unravelling the mechanics of knitted fabrics through hierarchical geometric representation

Ding,

Sanchez,

Bertoldi

et al. 2024

Proc. R. Soc. A.

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“…Sha et al 6 used the discretized Newton's method to analyze the gap between the dynamic knitwear-human body and the knitwear model, and then the knitwear model was further divided into different regions. Sperl et al 7 proposed a method to animate the yarn-level cloth geometry on top of an underlying deforming mesh in a mechanicsaware fashion. Using triangle strains to interpolate precomputed yarn geometry, they are able to reproduce effects such as knit loops tightening under stretching.…”

mentioning

confidence: 99%

“…Sperl et al. 7 proposed a method to animate the yarn-level cloth geometry on top of an underlying deforming mesh in a mechanics-aware fashion. Using triangle strains to interpolate precomputed yarn geometry, they are able to reproduce effects such as knit loops tightening under stretching.…”

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confidence: 99%

Fast three-dimensional simulation based on data constraints and methods to improve the realism of knitted sweaters

Li,

Cong

2023

Textile Research Journal

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The purpose of this research is to use the methods of data constraints for parametric design and three-dimensional simulation of knitted sweaters to achieve the purpose of enhancing the simulation effect. First, based on the basic plates of knitted sweaters as a reference, the parameters of the curve parts of the plates were constrained, and the constraint relationships were applied to build the parametric design models. After entering the user parameters, the changed plates can be obtained. On this basis, the transformation of flat plates to three-dimensional surfaces was carried out. The triangular grid mapping relationships between two-dimensional plates and three-dimensional surfaces were constructed, and the physical properties were further specified for the mesh particles. When the surface texture parameters of the two-dimensional plane are designed, the three-dimensional surface will change accordingly. In addition, this research put forward the stitching and matching methods of the seams of knitted sweaters. The joint size was equally divided, and the number of coils was converted into the number of triangular mesh. Point-to-point mesh was used to realize the accurate counterpoint fusion of coils. The feasibility of parametric and virtual design methods was verified by taking an example, which provides ideas for the computer-aided design of knitted sweaters and promotes the improvement of production efficiency without wasting raw materials.

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Estimation of yarn-level simulation models for production fabrics

Sperl

Sánchez-Banderas²,

et al. 2022

ACM Trans. Graph.

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This paper introduces a methodology for inverse-modeling of yarn-level mechanics of cloth, based on the mechanical response of fabrics in the real world. We compiled a database from physical tests of several different knitted fabrics used in the textile industry. These data span different types of complex knit patterns, yarn compositions, and fabric finishes, and the results demonstrate diverse physical properties like stiffness, nonlinearity, and anisotropy. We then develop a system for approximating these mechanical responses with yarn-level cloth simulation. To do so, we introduce an efficient pipeline for converting between fabric-level data and yarn-level simulation, including a novel swatch-level approximation for speeding up computation, and some small-but-necessary extensions to yarn-level models used in computer graphics. The dataset used for this paper can be found at http://mslab.es/projects/YarnLevelFabrics.

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Mechanics-aware deformation of yarn pattern geometry

Cited by 6 publications

References 61 publications

Unravelling the mechanics of knitted fabrics through hierarchical geometric representation

Unravelling the mechanics of knitted fabrics through hierarchical geometric representation

Fast three-dimensional simulation based on data constraints and methods to improve the realism of knitted sweaters

Estimation of yarn-level simulation models for production fabrics

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