Prediction of Geometry of Loop Formed on Terry Fabric Surface Using Mathematical and FEM ModellingSingh JP1* and Behera BK2
- *Corresponding Author:
- Singh JP
Department of Textile Technology
UP Textile Technology Institute
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.
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.