A micro-mechanical model of knitted fabric and its application to the analysis of buckling under tension in wale direction: buckling analysis

Abstract

With the aid of the micro-mechanical model of knitted fabric proposed in Part 1 we analyze the buckling of a knitted fabric sheet when it is subjected to a tension along the wale direction. The large deformation of the fabric sheet in the critical configuration is considered and, to avoid possible deviation due to the approximation of the theory of thin plate, the three-dimensional theory of instability is used. The fabric sheet is considered as a three-dimensional body and all boundary conditions are satisfied. It is shown that the buckling of the fabric sheet is possible, two buckling modes and the corresponding buckling conditions are obtained, but only the flexural mode is physically possible as observed in experiments.

Buckling analysis of plain knitted fabric sheets under simple shear in an arbitrary direction

“…Based on the above micro-constitutive model the out-of-plane buckling of knitted fabric sheets subjected to tension along the wale direction has been predicted successfully, see Zhang et al (2005). In the following sections we will investigate the buckling of knitted fabric sheets subjected to simple shear along the direction making an angle, say h, with respect to the wale direction as shown in Fig.…”

“…In order to characterize its mechanical properties mathematically, a micro-constitutive model for plain knitted fabric has been proposed by Zhang et al (2004). Based on the model the out-of-plane buckling of knitted fabric sheet subjected to a tension along the wale direction has been predicted successfully, see Zhang et al (2005).…”