Geometrical and Mathematical Analysis of the Elongation of Woven Fabric Structures

. These studies relied on the interpretation of elongation based on the test results and did not really penetrate the behavior of the sample under the influence of stress during the test. Therefore, this paper focuses on the study of elongation based on previous engineering concepts of the interlacing shape of the Peirce concept which is the closest geometric figure to the structure of the woven fabric, especially using synthetic fibres due to its regularity compared to other natural fibers. This research study also focused on studying the characteristic of yarn elongation from both theoretical and practical perspectives, based on the scientific importance of that physical property related, especially concerning the acceptance or rejection of the use of the material in the textile fields.