Development of a mathematical model and study of mechanical properties of textile materials for shoes

In this paper, the problems of using textile materials for the production of shoes, mechanical properties, their relationship with the structure of the fabric and fiber composition are studied, a mathematical model is made up. Since footwear is always a necessary commodity, the need for it does not stop. With the development of technology in the chemical, leather and textile industries, the footwear industry is undergoing changes, which makes the problem of improving the quality of manufactured products urgent. Today, textiles account for 50% of all footwear produced, which indicates their importance in this field. Mechanical properties of textile materials are important indicators of the material and the manufactured product. The aim of the work – systematize the knowledge of mechanical properties of textile materials, their relationship with structure and composition, and show the importance of evaluating these properties to ensure the quality of textile products. Mechanical characteristics are necessary for performance indicators in the assessment of wear resistance, strength of textile material. A set of methods for determining the mechanical and surface properties of textile materials allows you to assess the quality of textiles and compliance of the material to the purpose. The paper analyzes the methods of determining properties and their role in assessing the quality of textile products, with special attention to the change in mechanical properties of materials. One of the main requirements to fabrics for footwear is strength properties. The strength properties of selected fabric samples in length and width were determined. Since mechanical properties of textile materials are the main characteristic that determines their functionality and application areas, the study found that the mechanical properties of materials largely depend on the structure, fiber composition, and operating conditions. Changes in these factors result in changes in characteristics such as strength, tensile strength, stiffness, etc. Knowledge of these properties makes it possible to create textile materials with specified characteristics that are optimally suited for various applications.