alexa Prediction of Geometry of Loop Formed on Terry Fabric S
ISSN: 2169-0022

Journal of Material Sciences & Engineering
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Research Article

Prediction of Geometry of Loop Formed on Terry Fabric Surface Using Mathematical and FEM Modelling

Singh JP1* and Behera BK2

1Department of Textile Technology, U.P.Textile Technology Institute, Kanpur, India

2Department of Textile Technology, Indian Institute of Technology Delhi, New Delhi, India

*Corresponding Author:
Singh JP
Department of Textile Technology
UP Textile Technology Institute
Kanpur, India
Tel: 05122531814
E-mail: [email protected]

Received date: November 10, 2016; Accepted date: November 21, 2016; Published date: November 30, 2016

Citation: Singh JP, Behera BK (2016) Prediction of Geometry of Loop Formed on Terry Fabric Surface Using Mathematical and FEM Modelling. J Material Sci Eng 6:304. doi: 10.4172/2169-0022.1000304

Copyright: © 2016 Singh JP, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

 

Abstract

The objective of this study is to understand the loop formation phenomenon of yarn by considering their nonlinear bending behaviour and the effect of loop shape factor on properties of terry fabric. The yarn is modelled as a continuum thin solid beam, and the governing buckling equation is derived using Timoshenko’s elastic theory and the Bernoulli-Euler theorem. Since the formation of loop is effected by large deformation caused by the weight of yarn too, geometric non-linearity is also considered and Runge Kutta method of numerical technique is used to solve the governing equation. Further, finite element modelling technique is also used to see the accuracy of the prediction which is further verified by the actual experimental results. The results of the research prove that the finer yarn produce loops which are having more circularity i.e., higher loop shape factor, as compared to the loops produced from coarse yarn. It is also being proved that the increasing the loop length increases circularity of the loop i.e., higher loop shape factor.

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