On a Constitutive Model for Twisted Hybrid Yarns

T. Godfrey, J. Rossettos
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引用次数: 1

Abstract

A simple micromechanical model is developed for the interactions in a parallel square-stacked mixed array of elastic fibers representing the microstructure of a hybrid yarn undergoing axial extension. The mixed array consists of a small fraction of relatively high-modulus, low-elongation-to-break (LE) fibers dispersed among high-elongation-to-break (HE) fibers. The LE fibers are assumed to break into fragments, and the LE fiber fragments are assumed to slip relative to neighboring fibers in regions near the fragment tips. The fiber array experiences lateral compression arising from the remote tension on the twisted yarn, and frictional forces acting at slipping fiber-to-fiber contact surfaces are assumed to obey Amontons’ Law. Solutions of a dimensionless boundary value problem for deformations in a unit cell of the fiber array are presented. Dimensionless parameters involving the constituent LE and HE fiber properties are identified and their influence on hybrid yarn tensile behavior is illustrated.
混合捻纱本构模型的研究
建立了一种简单的微力学模型,用于描述平行方形堆叠的混合纤维阵列中相互作用的微观力学模型,该模型代表了混合纤维在轴向拉伸时的微观结构。混合阵列由一小部分相对高模量、低断裂伸长(LE)纤维分散在高断裂伸长(HE)纤维中组成。假设LE纤维断裂成碎片,并且假设LE纤维碎片在碎片尖端附近的区域相对于相邻纤维滑动。纤维阵列由于捻纱上的远端张力而受到侧向压缩,假定纤维与纤维之间滑动接触面处的摩擦力服从阿蒙顿定律。给出了光纤阵列单元格变形的无量纲边值问题的解。确定了涉及混纺纤维组分LE和HE性能的无量纲参数,并说明了它们对混纺纱拉伸性能的影响。
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