Buckling Analysis of Plain Knitted Fabric Sheets Under Simple Shear in an Arbitrary Direction

International Journal of Solids and Structures 44 (2007) 7049–7060 www.elsevier.com/locate/ijsolstr

Buckling analysis of plain knitted fabric sheets under simple shear in an arbitrary direction
Y.T. Zhang a b

a,*

, C.Y. Liu b, R.X. Du

b

Department of Mechanics, Tianjin University, Tianjin 300072, China Department of Automation and Computer-Aided Engineering, The Chinese University of Hong Kong, Hong Kong, China Received 22 December 2006; received in revised form 12 March 2007 Available online 30 March 2007

Abstract Knitting structures make plain knitted fabric different from woven fabric. With the aid of a micro-constitutive model the buckling of a knitted fabric sheet subjected to simple shear in an arbitrary direction is investigated. The large deformation of the fabric sheet in its critical configuration is considered. The theory of stability for finite deformations is applied to the analysis. All the stress boundary conditions of the knitted fabric sheet are satisfied. An equation for determining the buckling direction angle is derived. It is shown that there are two possible buckling modes: a flexural mode and a barreling mode. The buckling conditions for the two modes are also obtained, respectively. A numerical calculation reveals that only the flexural mode can occur, which agrees with experimental observations. Ó 2007 Elsevier Ltd. All rights reserved.
Keywords: Knitted fabric; Knitting structure; Buckling; Wrinkling; Simple shear

1. Introduction Simulations of draping and buckling/wrinkling of fabric sheet have attracted many researchers’ attention because of their great prospect of application in developing ‘‘Trial Systems of Apparel’’ which can model how clothes would appear on models in fashion shows, see, e.g., Amirbayat and Hearle (1989). The draping and buckling of woven fabric have extensively been studied, see, e.g., Kim (1991), Kang and Yu (1995), Chen and Govindaraj (1995), Zhang and Fu (2000, 2001), Zhang and Xu (2002a,b) and

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