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a Comparative Theoretical Analysis for a Knitted Loop Model

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TLDR
In this article, the theory presented in this paper differs from previous ones in that no arbitrary loop shape is assumed, rather a strophoid curve, that is similar to knitted fabric Loop shape, has been assumed as the basic mathematical function.
Abstract
The theory presented in this paper differs from previous ones in that no arbitrary loop shape is assumed. Rather a strophoid curve, that is similar to knitted fabric Loop shape, has been assumed as the basic mathematical function. Additionally, the theory is improved by adapting buckled elastic rod theory, leading to a new equation from a certain mathematical curve. This loop model is assumed to be two- dimensional initially, but is applicable to three-dimensional analysis as well. The geometry of the fabric structure is obtained from these models. The results show good agreement between the theoretical and experimental suggestions reported by other scholars.

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Journal ArticleDOI

A New Aspect of Geometrical and Physical Principles Applicable to the Estimation of Textile Structures: An Ideal Model for the Plain-knitted Loop

TL;DR: In this paper, the classical curves that are similar to the knitted-fabric loop shape are considered as a function of an ideal model for a plain-knitted structure, and the assumed function is then improved by adopting a buckled-elastic-rod theory, leading to a new equation as the ideal loop configuration.
Journal ArticleDOI

Ideal model for 1 × 1 rib fabric taking into account yarn swelling: Guidelines for the use of ultrasonic relaxation

TL;DR: Mohammadi and Jeddi as mentioned in this paper developed the ideal model knitted loop (Jeddi et al., 12, 39−44, 1999, Semnani et al. 2003) for the fully relaxed 1 × 1 rib structure, which is based on the classic curve of Strophoid equation as the loop shape of face and back loops and improved by adopting an elastica configuration.
Journal ArticleDOI

Ideal stitch model for interlock-knitted fabric

TL;DR: Jeddi et al. as discussed by the authors presented two-and three-dimensional ideal models for an interlock structure, based on the classic curve of the strophoid equation as the loop shape of face and back loops.
Journal ArticleDOI

An explanation of warp knitted fabric deformation under uni-axial tension by a novel index as shape ratio

TL;DR: In this paper, a geometrical index named shape ratio was defined to quantify the deformation of warp-knitted fabrics in order to use instead of Poisson's ratio, which is obtained by division of the variation of squared perimeter to the area of a printed square on the fabric under uniaxial tension.
Journal ArticleDOI

A novel technique for modeling friction behavior in knitted fabric simulation

TL;DR: In this paper, the authors proposed a novel technique for modeling fabric-object friction force in knitted fabric simulation based on the mass spring model, unlike other studies, the distribution of friction coefficient over the fabric surface is not uniform and depends on the fabric structure.
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