The fractal weave has a different appearance from the traditional weaves, and the fabric performances such as air and moisture comfort have not been studied. The relationship between the fabric structure and performance of the fractal weaves is not yet clear. In this paper, the corresponding fractal weaves were generated based on the fractal theory, and the corresponding fabrics were woven using raw silk as the warp yarn and cashmere/water-soluble vinylon as the weft yarn. The structural parameters, air permeability and moisture permeability were tested. The results show that fabric moisture permeability are not closely related with the three weave parameters of fractal dimension, average float length and weave coefficient. Its conduction mechanism is different from air permeability. The average floating length, fractal dimension, and its parameter combinations have a good fitting relationship with air permeability, and the polynomial fitting R2 can reach to 0.99938. The fitting formula 8 has guiding significance for the design of fabrics with certain air permeability requirements.

中文翻译：

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基于分形理论的真丝/羊绒交织织物的结构与透气性

分形组织与传统组织有不同的外观，空气和湿气舒适性等织物性能尚未研究。分形组织的织物结构与性能之间的关系尚不清楚。本文根据分形理论生成了相应的分形组织，以生丝为经纱，以羊绒/水溶性维纶为纬纱织造出相应的织物。测试了结构参数、透气性和透湿性。结果表明，织物透湿性与分形维数、平均浮线长度和编织系数三个编织参数没有密切关系。其传导机制与透气性不同。平均浮动长度、分形维数、其参数组合与透气性有很好的拟合关系，多项式拟合R2可达0.99938。合身公式8对有一定透气性要求的面料设计具有指导意义。