A Study on the Mechanical Properties of Plain Fabric using Peirce Model

Peirce 모델을 이용한 평직물의 역학적 거동에 관한 연구

Using Peirce's model of plain woven fabrics, mathematical equations that can be used to predict the structure and mechanical behaviors were derived and their solutions were obtained. The structure of woven fabrics was defined in terms of the yarn number, fabric density, and yarn crimp, and the effects of these variables on the fabric structure were investigated. The boundary of structure of fabrics where Peirce's geometrical model could still be successfully applied was determined and the Poisson's ratio under uni-axial extension was obtained. The energy method was employed in order to derive mathematical equations for estimating mechanical properties of fabrics from the mechanical properties of yarns and the structural parameters of fabrics. Furthermore, the effects of intial modulus and bending rigidity of yarns on the load-extension relationships of woven fabrics were investigated.