Interlacing weave factor of two-dimensional jacquard woven fabrics

This study explores and discusses the structure of two-dimensional (2D) jacquard woven fabric and its weave pattern. The aim of the study is to propose a methodology focused on the definition of threads interlacing in the 2D jacquard woven fabric and thereby determine the interlacing weave factor. The interlacing weave factor is known from dobby fabrics where many contributions have been made to express the interlacing of threads in the weave repeat. These are mainly purely experimental approaches. The calculation of the weave factor of jacquard fabrics has not yet been published. The proposed methodology defines the jacquard fabric pattern and its threads interlacing comprehensively based on the interlacing structural cells (SCs). The weave factor expressed on the basis of SCs describes the jacquard pattern comprehensively from the perspective of the combination of weaves forming the resulting pattern of the jacquard fabric. The proposed methodology can analyze SCs based on both the absolute frequency and the relative frequency related to the entire weave of the jacquard fabric pattern. From a practical point of view, the weave factor defines the degree of floatation in the weave. The weave factor is used to recalculate the thread density of plain weave to the thread density of non-plain weaves or pattern. The cohesion of the fabric depends on the interlacing and density of the threads. In fabric construction, the rule applies: when the floatation increases, the thread density must increase. In practice, the proposed weave factor is used to calculate the thread density in a jacquard fabric with combination of non-plain weaves.