The buckling of a woven fabric influences its performance throughout processing and during actual use. In addition, this phenomenon reflects on the recovery of the textile–polymer composites. The mechanics of the buckling behavior of woven, knitted or non-woven fabrics have a large number of different approaches, and the obvious inconsistency of applying the classical beam theory to the textile problem remains. The buckling of textile materials is a deciding factor of their drape and conformability. Fabric buckling also defines the ability of a fabric to fit to a different shape object without wrinkling. An empirical approach foundation to quantitatively compare the buckling of existing and new flexible textile materials, no matter what their composition, was developed. The buckling coefficient was found to be highly correlated to the fabric modulus of rigidity, fabric Young's modulus and fabric weave design. For the twill structure, the value of twill line angle to the direction of buckling force has a significant effect. In this paper, the buckling of woven fabric with or without holes was analyzed. It has been proven that major modes of deformation in the buckling of fabrics with holes are fabric bending rigidity, fabric design and the ratio of the volume of the hole to sample volume.

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Cutting processes using blades have found applications in many industries; for example, in garments, fiber–polymer composites, and high-performance fabric forming. In recent decades, the process of cutting the material using a robotic-controlled blade has raised concern about the value of the pressure and the cut force required for a certain type of woven fabric and the estimation of its value before the pressing and cutting process. A simple theoretical relation was established based on the fabric structure and yarn shear stress. The model formulation and experimental results to describe the basic theory of blade cutting fracture for woven fabric of different designs was derived. In this work, the experimental investigation of the effect of the fabric specifications, normal load, and the cutting speed on the cutting force was carried out, which indicates that the value of the specific cutting resistance of the fabric was found to be highly correlated with the fabric structure, warp and weft yarn count, Young’s modulus of the fabric, and fractional cover factors ratio ζ.

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The textiles capable of cutting resistance found applications in the industrial and military areas to construct flexible lightweight soft body armors. In the present work, a theoretical model to understand the mechanism of fabric cut resistance in a different direction for weft-knitted, triaxial, and multiple layers structures. An experimental study of cutting resistance force was done on weft-knitted fabric with Kevlar 29 triaxial fabrics in multiple layers structure to support derived mathematical model for the effect of multiple layers structure on their cutting force. The study examines specific cut resistance of the structure from four layers of Kevlar triaxial fabrics covered with knitted fabric on both sides. The angle of cutting force varied from 0°, 60°, and 90° with respect to the yarn inclination. Results show that the cutting force of the multilayer structure is linearly proportional to the number of Kevlar triaxial fabrics layers. The specific cut resistance value of the structure from four layers of Kevlar triaxial fabrics, covered with knitted fabric on both sides, reached 544, 435, and 326 (N/g/cm2) for cutting directions: angled 60°, vertical, and horizontal, respectively. In this work, the comparison between the triaxial fabric of high areal density and multiple layers of triaxial fabric with resultant same areal density indicates that a better specific cutting force was achieved in the first case. Furthermore, it investigated the relationship between triaxial surface density, the direction of cutting, and the number of triaxial fabric layers and discussed the optimum specific properties of the different structures.