Innovative design composite fabric information

Assume that the yarn does not deform or overlap. There are many formulas for calculating the maximum density of fabrics. There are two famous formulas, namely Peirce’s theoretical formula and Brieley’s empirical formula. (1) Pierce theory calculation formula The Pierce theory calculation formula has the following assumptions: (1) The yarn in the fabric has a perfect circular cross-section (uniform body). (2) When the warp and weft yarns in the fabric are closely arranged, the yarns have no straight segments in the fabric cross-section (assuming that the yarn deformation shape is relatively regular). (3) Assume that the yarn is -dimensional (plane). Taking plain weave fabric as an example, the relationship between the warp and weft yarns of a tightly structured fabric is:

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