Weave coding

Once a weave coding is defined, an analysis of the weave matrix allows answering questions about mutual positions of the yams. Consider a warp yam between two intersections with weft. Which weft yams is it interacting with in these intersections What is its position vis-a-vis these yams An answer to these questions is evident for one-layer weave, but for multilayered weaves it needs analysing the weave code. Knowing these answers allows definition of interactions between warp and weft, which is needed for building a geometrical model of the unit cell based on mechanics of these interactions, and definition of contacts between the yam needed for creation of meso-level FE models. 

Figure 5 The first few lines of the web file from which the following section was generated by executing the weave command. The descriptive text is written in and the code in...

For our purposes, the use of WEB is simply to use the output from weave to illustrate the methods used to code the molecular integrals. A full description of the use of WEB would take us too far out of our way since the facilities available are quite sophisticated and, of course, presume that the user is familiar with the document-preparation system. This is one of the main advantages of... 

In practice, one prepares a file (application.web, say) which contains the sources for the coding, structure and documentation and processes this file with two tools (weave and tangle). 

This chapter was written using the S weave (Leisch, 2002) system, and all the code used to produce the outputs, graphics, and so on, can be retrieved from our online supplements, located at http //www.bioconductor.org/Publications/2008/Wiley. In addition, a few other plots and details are provided at that site for interested readers. 

Consider a warp-interlaced 3D weave (rather multilayered weave) — Figure 2.2. The topological coding of a multilayered weave is based on the warp yams paths. 

Flgnre 2.2 Matrix coding of a multilayered weave (a) building the matrix weft layers are shown with thin white lines, intersection levels — with thin hlack lines (h) warp in zones (c) angle interlock (d) missing weft algorithm. 

Lomov SV, Gusakov AV. Coding of carcasse-layered weaves. Technol Tekstil Pro-myshl 1993 4 40-5. 

It was found that it is sufficient to have eleven prime structural elements for graphical representation of a diagram of any textile material these are shown in Fig. 1.10, and are used for drawing the textile structures in this section. This set of prime elements can be used for a simple matrix coding of textile structures, and any 3D fibrous assemblies. For example, matrices Mi and Mj respectively for a plain weave and a single jersey are as follows ... 

Fabric code Fabric sett (threads per inch) Yarn count (tex) Weave structure Thickness (mm) Fabric weight (g/m )... 

But the composition of the micro-aspects to realize a replication protocol may also lead to undesirable side effects, called interferences. In other words, the aspect chain might be incorrect after weaving all micro-aspects into the application code. We need to control the composition and provide means to detect undesirable interferences. 

Weave patterns can be displayed with weave symbols. These are codes composed of repeated patterns of weave, number of warp threads up, number of warp threads down, number of threads, and shift counter. The international standard for the construction of the weave symbol is defined in DIN ISO 9354. The first number describes the basic weave pattern, where 1 stands for plain weave, 2 for twill, and 3 for satin weave (Fig. 4.5). 

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