Kyzymchuk O. The development of scientific basis of auxetic textile formation.

Doctoral dissertation devoted to the formation of textile materials, which became wider when stretched due to the structure of the material but not through the use of yarn with appropriate ability. Based on the method of system analysis and on the theoretical hypotheses, the geometric structures of auxetic materials, which can be implemented in the textiles, particularly in knitted materials, have been revealed. The main task - the creation of the warp knitted structures with auxetic-properties was solved and the selection of interlooping, which such structures can be realized in, was made. Main consideration is concentrate on the warp-knit auxetic structures with reentrant hexagonal cells. The basic principles of hexagonal cells' formation in warp knitted structures have been formulated as a result of the theoretical analysis of geometrical models of fillet interlooping. To achieve auxetic property, it is required to employ a high elastic yarn in the base structure. Introduced elastomeric component affects the geometric parameters of the cell, which in combination with ribs' length ratio define a negative value of the Poisson ratio. the length of the cell ribs is changed by the interlooping repeat (quantity of tricot and chain courses), and the angle of rib's inclination to the horizontal section is changed by the pre-tension of the elastomeric yarn and by its positioning in the structure. Analytical dependence for calculation the prior stretching of the elastomeric yarn has been obtained as a result of the geometrical modeling of auxetic warp knit structure. The equation to determine the Poisson's Ratio of warp net structures on the geometric dimensions of the cell has been determined as a result of analytical transformations. The dependencies of structural parameters, cell's size and mechanical properties of auxetic warp knit structure on the interlooping repeat and on the positioning of elastomeric yarn in the structure have been defined as result of mathematical processing of the experimental data. The method of Poisson's ratio test was improved for the purpose of testing of the mesh with large cells and the rapid method for identifying auxetic abilities of textiles was developed.