In this paper, I presnet a study of the sphericla elongation of fabrics under cyclic stresses on those parts of a garment that are most exposed to stress, the elbow and the knee. For this purpose, I have developed a new modified apparatus and a new method for testing the sphericla deformation of fabric. In addition, I develop an algorithm for calculating deformation and form the results, I use it to calculate the elongation of warp and weft yarns in the samples, thus determining the limits of stresss a yarn can take. In this paper, I describe the algorithm as well as the theoreticla assumptions from which it is derived.
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