In order to simulate three dimensional appearances and predict the performance of woven fabrics based on the weave structure

this paper presented a method to create the three dimensional geometrical models of yarn buckling in woven fabrics directly from weave structural parameters. In the method

two steps are combined

including weave diagram generation form structure parameters and three dimensional geometrical modeling from weave diagram. In first step

weave diagram is looked as a Boolean matrix. According to the weave category

the yarns interlacing rules in the weave diagram are described by a series of parameters

such as the float array

crossing number

step number and the numbers of ends or filling in weave repeat. Several functions are created to generate the matrixes of common single layer weaves according to these parameters. The weaves are separate into regular weave

quasi regular weaves and un-regular weave. In second step

the yarn paths are separated into two segment types (straight line and cosine curve) according to the warp or filling yarns buckling models. The yarns cross section shape are looked as circle or ellipse. The three dimensional geometrical coordinates of warp and filling yarn buckling path are expressed by some piecewise functions according to weave matrix. The parameters in these functions include the long radius and short radius of ellipse

the straight distances of line segment in warp yarns or weft yarns

the straight distances of cosine curve segment in warp yarns or weft yarns

the amplitudes of warp and weft yarns buckling waves. Additionally

the modified functions also are created and two correcting factors are introduced to simulate three dimensional yarn buckling path by considering the distortion of warp and filling yarns in woven fabric. The values of the correcting factors can be generated by adopting a sine function or random function. Finally

the three dimensional modeling experiments of single layer woven fabrics were performed. In these experiments

the input information includes weave types

structural parameters

yarn cross section shape and yarn distortion parameters. The created models in these experiments include plain weave

twill weave

satin weave

compound twill

waved twill curved twill

interlaced twill. The models of plain weaves with different structural parameter values are compared

including yarns cross section shape

yarn counts and the yarn buckling amplitude. The models of twisted plain weaves based on uniform random function are also compared with untwist plain weave model and the scanned fabric image. The results show that this method is feasible and convenient. All fabric models in the paper with different input parameters have good simulated effect. This paper proposes a convenient method to create the three dimensional geometrical models of single layer fabric directly from weave structural parameters

which combined weave matrix generation and yarn buckling modeling. Only by changing the weave information and fabric structure parameters

the different fabric geometrical models can be created quickly. The method can not only simulate two dimensional yarn buckling models

but also for three dimensional yarn buckling.